Find the value of k so that the point A lies on the line given by equation.

A(2, 2), kx+(k+1)y=2

Answers

Answer 1

Answer:

k = 0

Step-by-step explanation:

Explanation:-

given straight line equation is k x+(k+1)y=2......(1)

The point A(2,2) lies on the equation is

substitute x = 2 and y=2

k(2) + (k+1)(2) =2

now simplify 2 k+2 k+2 = 2

subtracting '2' on both sides , we get solution is

4 k +2 -2 = 2-2

4 k =0

k = 0

Answer 2

Answer:

k = 0

Step-by-step explanation:

kx + (k + 1)y = 2

2k + 2(k + 1) = 2

2k + 2k + 2 = 2

4k + 2 = 2

4k + 2 - 2 = 2 - 2

4k = 0

4k ÷ 4 = 0 ÷ 4

k = 0


Related Questions

For what value of x is the function g(x)=x/1-x NOT defined?

Answers

The function is definately defined at x=0 but not x=1.

But its just one part of the coordinate (x,y).

If the value of y or f(x) is considered, you'll see that it is never possible to attain f(x)=0. In other terms (x,y)= (0,0) is not a defined point in the graph of the function because the graph doesnt pass through that point.

Now I hope you understood what I meant!

Conclusion- The above function is not defined at all points in the space having the abscissa or x=1 in the coordinate and also at ordinate or y=0 in the coordinate.nation:

The value of x for which the function g(x)=x/1-x is not defined is at x = 1.

When does a value of a function become undefined?

A value of a function becomes not defined when the denominator of that function becomes zero.

The value for which the function becomes zero is given below:

The function is g(x)=x/1-x.

We can substitute the different values of x to find which makes the function not defined.

For x = -1:

g(-1) = -1/1-(-1)

= -1/2

The function is defined.

For x = 0:

g(0) = 0/1-0

= 0

The function is defined.

For x = 1:

g(1) = 1/1-1

= 1/0 = not defined

The function is not defined.

For x = 2:

g(2) = 2/1-2

= 2/-1 = -2

The function is defined.

Therefore, we have found that the value of x for which the function g(x)=x/1-x is not defined is at x = 1.

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PLEASE HELP < I NEED HELP, TRYING TO MAKE HONOR ROLL

Translate the sentence into an equation.
Five more than the product of a number and 4 is 7.
Use the variable w for the unknown number.

Answers

Answer:

5+4w=7

Step-by-step explanation:

Tell which quadrant the point (x, y) will be in.
cis negative, yis negative.
Quadrant I
Quadrant IT
Quadrant IV
Quadrant II

Answers

Answer:

Look at the picture.

x < 0 and y < 0

Quadrant III






In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:

Answers

According to the construction described  ∠ DEF ≅ ∠GEF by SSS congruence theorem

How to show that the two angles are congruent

Statement        Reason

DE ≅ GE              given

DF ≅ GF               given

EF ≅ FE                reflexive property

Δ DEF ≅ Δ GEF   SSS congruence theorem

∠ DEF ≅ ∠GEF    CPCTC

what is y+4=2(2x-1)​

Answers

Answer:

y= 2(2x-1) -4

Step-by-step explanation:

you subtract 4 from both sides and it cancel outs at the y side(because 4-4 is 0) leaving just y.


Which of the graphs below correctly solves for x in the equation −x2 − 3x − 1 = −x − 4?

Graph of quadratic opening downward and linear sloping up to the right. They intersect at point negative 4, negative 2 and point 0, 2.
Graph of quadratic opening upward and linear sloping up to the right. They intersect at point 0, 2 and point 4, 6.
Graph of quadratic opening downward and linear sloping up to the left. They intersect at point negative 3, negative 1 and point 1, negative 5.
Graph of quadratic opening upward and linear sloping up to the right. They intersect at point 2, 0.

Answers

Answer:

Graph of quadratic opening downward and linear sloping up to the left. They intersect at point negative 3, negative 1 and point 1, negative 5

Step-by-step explanation:

we have

[tex]-x^{2} -3x-1=-x-4[/tex]

we can separate the expression above into two equations

[tex]y=-x^{2} -3x-1[/tex] ----> equation A

This is a quadratic equation ( vertical parabola) open downward (the leading coefficient is negative)

[tex]y=-x-4[/tex] ----> equation B  

This is a linear equation with negative slope (decreasing function).so linear sloping up to the left

The solution of the original expression are the x-coordinates of the intersection point both graphs

using a graphing tool

The intersection points are (-3,-1) and (1,-5)

see the attached figure

Answer: C is the correct choice

Step-by-step explanation:

A pet store usually keeps 12 birds per cage, and
there are 7 birds in the cage now. The equation
7 + x = 12 can be used to find the remaining
number of birds x that can be placed in the
cage. What is the solution of the equation?​

Answers

Answer:

5

Step-by-step explanation:

One step equation. You would subtract 7 from 12 to get 5 because x would be alone now.

Write the polynomial function, in standard form, that has zeros -1, -2, and 3.

Answers

Answer:

The sum of the roots of a polynomial is 5/3, the product of the same polynomial is -11. Write the polynomial function in standard form.n:

Answer:

f(x) = x³ - 7x - 6

Step-by-step explanation:

Given that the zeros are x = - 1, x = - 2 and x = 3 then the corresponding factors are

(x + 1), (x +2) and (x - 3)

The polynomial is then the product of the factors, that is

f(x) = (x + 1)(x + 2)(x - 3) ← expand the first pair using FOIL

     = (x² + 3x + 2)(x - 3) ← distribute

     = x³ - 3x² + 3x² - 9x + 2x - 6 ← collect like terms

     = x³ - 7x - 6

How to solve 17=-13-8x

Answers

Answer:

Explanation:

add 13 to both sides of the equation.

17+13=−8x.

30=−8x.

divde both sides by −8.

30−8=x⇒x=−308=−154.

As a check.

Step-by-step explanation:

Answer:

Step-by-step explanation:

17 = -13 - 8x....add 13 to both sides

17 + 13 = -13 + 13 - 8x

30 = -8x...now divide both sides by -8

-30/8 = (-8/-8)x

-30/8 = x.....reduce

- 15/4 = x <===

A 30-60-90 triangle has shortest leg 10. The hypotenuse is

Answers

Answer:

Hypotenuse = 20

Step-by-step explanation:

As we know that in 30 60 90 triangle

Short leg = X

Hypotenuse = 2X

Perpendicular = X[tex]\sqrt{3}[/tex]

Short leg = X = 10

Hypotenuse = 2X = 10*2 = 20

Final answer:

In a 30-60-90 triangle, the hypotenuse is twice the length of the shortest leg. Therefore, with a shortest leg of 10, the hypotenuse is 20.

Explanation:

The student has asked about the length of the hypotenuse in a 30-60-90 triangle where the shortest leg is given as 10. In a 30-60-90 triangle, the ratios of the sides are 1:√3:2. Since the shortest leg (the one opposite the 30° angle) is known to be 10, we can find the hypotenuse by multiplying the length of the shortest leg by 2.

Thus, the hypotenuse is 20.

To summarize the process, if the shortest leg a is known, then the hypotenuse c is calculated using the formula: c = 2a. Given that a = 10, the calculation would be c = 2 × 10 = 20.


Solve kx + 12 = 3kx for x.

Answers

[tex]

kx+12=3kx \\

12=2kx \\

x=\frac{12}{2k} \\

x=\frac{6}{k}

[/tex]

Hope this helps.

Answer: x=6/k

Step-by-step explanation:

kx + 12 = 3kx and subtract k from both sides

12=3kx-kx then simplify

12=2kx, now divide both sides by two

12/2=kx simplify again

6=kx divide next

6/k=x finally, switch sides to get x=6/k

Hope this helps, have a BLESSED and wonderful day, as well as a safe one!

-Cutiepatutie ☺❀❤

WILL GIVE BRAINLIEST!!! Which expression is equivalent to one over four n − 16? (5 points) one over four (n − 4) one over four (n − 64) 4(n − 4) 4(n − 64)

Answers

Answer:

The correct answer is 1/4(n - 64).

Step-by-step explanation:

1/4n - 16  Write Original expression

0.25n -16     Simplify the fraction

0.25(n - 64)      Distribute(take out) 0.25 from n-16

1/4(n - 64)      

Lexie is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide. If the field in Lexie’s drawing is 30 centimeters wide, how long should the field be in the drawing?

Answers

9514 1404 393

Answer:

  45 cm

Step-by-step explanation:

The ratio of length to width is the same for the drawing as for the field.

  length/width = L/(30 cm) = (120 yd)/(80 yd)

  L = (30 cm)(3/2) = 45 cm . . . . . . multiply by 30 cm and simplify

The field should be 45 cm long on the drawing.

Final answer:

The soccer field in Lexie's scale drawing should be 45 centimeters long, using a scale factor based on the given width of 30 centimeters and the real soccer field's dimensions.

Explanation:

Lexie is scaling a real soccer field to a drawing, with the real field's dimensions being 120 yards long and 80 yards wide. When converting these dimensions to a scale drawing where the width is 30 centimeters, we need to find the drawing's length. To do this, we will use a scale factor.

First, we find the actual scale factor based on the given dimensions:

Actual width of soccer field = 80 yards

Width in the drawing = 30 centimeters

To convert yards to centimeters, we need to know that 1 yard equals 91.44 centimeters. Given this, the actual width in centimeters is 80 yards * 91.44 cm/yard = 7312 centimeters.

Now, we calculate the scale factor:

Scale factor = Width in the drawing / Actual width in centimeters = 30 cm / 7312 cm

Using this scale factor, we can find the length for the drawing:

Actual length of soccer field = 120 yards

Actual length in centimeters = 120 yards × 91.44 cm/yard = 10972.8 centimeters

Length in the drawing = Actual length in centimeters × Scale factor = 10972.8 cm × (30 cm / 7312 cm)

Calculating this gives us:

Length in the drawing = 45 centimeters

Therefore, the length of the soccer field in Lexie's drawing should be 45 centimeters.

Mrs. Jones asked Janae which perfect square comes between 100 and 144. Janae said that 120 is the perfect square becau
10-12=120. Is Janae correct? Bro please I’m dum

No, 120 is not a perfect square because you can't multiply a whole number by itself to get 120.

Yes, because 120 is an even number and all even numbers are perfect squares.

No, because the next perfect square is 125,

No, because there are no perfect squares between 100 and 144.22.

Answers

Answer:

Its the first option.

Step-by-step explanation:

120 is not a perfect square.

Its close to one though - 121 is a perfect square ( 11 * 11 = 121).

Answer:

a

Step-by-step explanation:

I toolk the test (:  :)

X÷3.7=5? Need help.

Answers

Answer:

x = 18.5

Step-by-step explanation:

Multiply 5 and 3.7.

Which equals 18.5.

Check: 18.5 / 3.7 = 5.√

A boat travelled 231 km downstream and back. The trip downstream took 11 hours. The trip back took 77 hours. Find the speed of the boat in still water and the speed of the current

Answers

Speed of boat in still water is 12 km/hr and speed of current is 9 km/hr

Solution:

From given,

Downstream distance = 213 km

Time taken for downstream = 11 hours

Thus, speed is given as:

[tex]\text{Downstream speed} = \frac{\text{Downstream distance}}{\text{time taken}}[/tex]

[tex]\text{Downstream speed} = \frac{231}{11} = 21[/tex]

Thus downstream speed is 21 km/hr

Also,

Upstream distance = 213 km

Time taken for upstream = 77 hours

Thus, speed is given as:

[tex]\text{Upstream speed} = \frac{\text{Upstream distance}}{\text{time taken}}\\\\\text{Upstream speed} = \frac{231}{77} = 3[/tex]

Thus upstream speed is 3 km/hr

If the speed downstream is "a" km/hr and the speed upstream is "b" km/hr , then:

[tex]\text{Speed in still water } = \frac{1}{2}(a+b)\\\\\text{Speed of current } = \frac{1}{2}(a-b)[/tex]

Here, a = 21 and b = 3

Therefore,

[tex]\text{Speed in still water } = \frac{1}{2}(21+3) = \frac{24}{2} = 12\\\\\text{Speed of current } = \frac{1}{2}(21-3) = \frac{18}{2} = 9[/tex]

Thus speed of boat in still water is 12 km/hr and speed of current is 9 km/hr

The speed of boat in still water is 12 km/hr as:

Let speed of Boat be 'b' and speed of Current be 'c'.

Distance given is 210 miles.

Therefore speed for downstream = 210 ÷ 10=21 mph

speed for upstream =3mph

Now we can form the two equations as :

i) b+c = 21 ......(i) For downstream

ii) b-c = 3.........(ii) For Upstream

Solving by substitution method :

From equation (ii) c = b - 3 Substitute this value of c in equation

(i) we get b + b - 3 = 21

Therefore b = 12. Now substitute the value of b in any of the equations above (i) or (ii) and get c= 9

b= 12 and c = 9.

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4-2 3/5 how can I get the answer to this problem

Answers

4= 4/1 as a fraction, and you must make 2 3/5 into a improper fraction, to do that you must multiply the denominator times the whole number and add the numerator so 5x2=10 and 10+3=13 so the numerator now turns into 13 and the denominator stays the same (5) so now you have 4/1 - 13/5 but you can’t still subtract that so find the least common denominator of 4/1 and 13/5 which is 5 so now we have 20/5 - 13/5 which equals 7/5 now you have your answer

Isaac purchased a house for $109,400.00. Every year, Isaac makes improvements so that the value of the house goes up by 3%. Which of the following inequalities can be used to determine the number of years after purchase, t, that the value of Isaac's house will be more than $120,340.00?

Answers

The correct inequality is: C. $114,840.00(1 + 0.04)^2 > $115,362.00.

It correctly applies compound interest to determine when the house value exceeds $114,840.00.

To determine the number of years [tex](\( f \))[/tex] after purchase that the value of Isaac's house will be more than $114,840.00, we can use the formula for compound interest.

The formula for compound interest is given by:

[tex]\[ A = P(1 + r)^n \][/tex]

Where:

- A is the future value of the investment/asset.

- P is the initial principal amount (the initial value of the investment/asset).

-  r  is the annual interest rate (expressed as a decimal).

- n is the number of years the asset is invested for.

In this case:

- [tex]\( P = \$104,400.00 \)[/tex] (the initial value of the house).

- r = 0.04 (the annual rate of increase, which is 4% expressed as a decimal).

- We want to find the value of n when [tex]\( A > \$114,840.00 \)[/tex].

So, the inequality to represent this scenario is:

[tex]\[ \$114,840.00 < \$104,400.00(1 + 0.04)^n \][/tex]

Now, let's compare this inequality with the options provided:

A. [tex]\( \$114,840.00(1 + 0.04)^{n+1} > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( n + 1 \) instead of \( n \)[/tex] in the exponent.

B. [tex]\( \$114,840.00(0.04)^2 > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( (0.04)^2 \)[/tex] instead of [tex]\( (1 + 0.04)^n \)[/tex].

C. [tex]\( \$114,840.00(1 + 0.04)^2 > \$115,362.00 \)[/tex] - This option is correct. It uses the correct formula for compound interest and compares it to the threshold value of [tex]\$114,840.00[/tex].

D. [tex]\( \$114,840.00(1 - 0.04)^2 > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( (1 - 0.04)^2 \) instead of \( (1 + 0.04)^n \).[/tex]

Therefore, the correct inequality is option C:

[tex]\[ \$114,840.00(1 + 0.04)^2 > \$115,362.00 \].[/tex]

Correct question is:

Isaac purchased a house for $104,400.00.

Every year, Isaac makes improvements so that the value of the house goes up by 4% Which of the following inequalities can be used to determine the number of years after purchase, f, that the value of Isaac's house will be more than $114,840.00?

[tex]A. $114,840.00(1+0.04)^r+1 > $115,362.00[/tex]

[tex]B. $114,840.00(0.04)^2 > $115,362.00[/tex]

[tex]C. $114,84000(1+0.04)^2 > $115,362.00[/tex]

[tex]D. $114,84000(1-0.04)^2 > $115,362.00[/tex]

Coordinate of 2x+6y=12 and 4x-3y=9

Answers

Answer:

The coordinate  to the given equations is (3,1)

Step-by-step explanation:

Given equation is [tex]2x+6y=12\hfill (1)[/tex]

and [tex]4x-3y=9\hfill (2)[/tex]

To find the coordinate of the given equations :

Multiply the equation (2) into 2 we get

[tex]8x-6y=18\hfill (3)[/tex]

Now adding the equations (1) and (3) we get

[tex]2x+6y=12[/tex]

[tex]8x-6y=18[/tex]

_______________

[tex]10x=30[/tex]

[tex]x=\frac{30}{10}[/tex]

Therefore x=3

Substitute x=3 in (1)

2(3)+6y=12

6y=12-6

[tex]y=\frac{6}{6}[/tex]

Therefore y=1

The coordinate  to the given equations is (3,1)

Final answer:

To find the coordinates of the intersection point of the equations 2x+6y=12 and 4x-3y=9, we can solve the system of equations using the method of substitution. The coordinates of the intersection point are (3, 1).

Explanation:

To find the coordinates of the intersection point of the equations 2x+6y=12 and 4x-3y=9, we can solve the system of equations by using the method of substitution or elimination. Let's use the method of substitution:

From the first equation, solve for x: x = (12-6y)/2 = 6-3y.Substitute this value of x into the second equation: 4(6-3y)-3y=9.Simplify and solve for y: 24-12y-3y=9.Combine like terms: -15y = -15.Divide both sides by -15: y = 1.Substitute this value of y into either of the original equations to find x. Let's use the first equation: 2x + 6(1) = 12.Simplify and solve for x: 2x + 6 = 12, 2x = 6, x = 3.

The coordinates of the intersection point are (3, 1).

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Is 6(6+x) equivalent to 6x+36

Answers

[tex]\text{Hey there!}[/tex]

[tex]\text{Is 6(6 + x) equivalent to 6x + 3?}[/tex]

[tex]\text{Kind of yes, and kind of no}[/tex]

[tex]\text{But in order for you to solve for this equation you have to use the distribute}\\\text{ property}[/tex]

[tex]\text{The distributive property formula is}\rightarrow\text{a(b + c) = a(b) + a(c) = ab + ac}[/tex]

[tex]\text{Let's solve for the equation, shall we?}[/tex]

[tex]\text{6(6 + x)}\\\text{6(6) + 6(x)}\\\text{6(6) = 36}\\\text{36 + 6(x)}\\\text{6(x) = 6x}\\\boxed{\text{\underline{36+6x}}}[/tex]

[tex]\text{36 + 6x}\neq \text{6x+ 36}[/tex]

[tex]\text{So, thus your answer has to be NO}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Which polynomial is factored completely?

4 (4 x Superscript 4 Baseline minus 1)

2 x (y cubed minus 4 y squared + 5y)

3 x (9 x squared + 1)

5 x squared minus 17 x + 14

Answers

Answer:

3x(9x^2+1) or C on edge

Step-by-step explanation:

did the test on edge and i got it right :

Final answer:

The polynomial that is factored completely is 5x^2 - 17x + 14, as it can be fully factored into (5x - 7)(x - 2) using the quadratic formula or factoring by inspection.

Explanation:

The question requires us to determine which polynomial is factored completely. We have four options to consider.

4(4x^4 - 1) is not factored completely because the expression inside the parentheses is a difference of squares and can be factored further into (2x^2 + 1)(2x^2 - 1).2x(y^3 - 4y^2 + 5y) is not factored completely because the expression inside the parentheses does not factor further in terms of integer coefficients.3x(9x^2 + 1) cannot be factored further since 9x^2 + 1 is a sum of squares, which is not factorable in the set of real numbers.5x^2 - 17x + 14 is a quadratic equation of the form ax^2 + bx + c. By applying the quadratic formula or through factoring by inspection, we find that it factors completely into (5x - 7)(x - 2).

Hence, the polynomial that is factored completely is 5x^2 - 17x + 14.

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Is the quotient for 215.6÷0 7 greater than or less than 215.06?

Answers

308 is greater than 215.06

Solution:

Given data: 215.6 ÷ 0.7

Let us first convert the fraction without decimal.

To remove a decimal point multiply and divide the fraction by 10.

[tex]\frac{215.6}{0.7}=\frac{215.6\times10}{0.7\times10}[/tex]

       [tex]=\frac{2156}{7}[/tex]

If we divide 2156 by 7, we get quotient as 308.

Now, to compare the quotient with the number 215.06.

308 > 215.06

Hence, 308 is greater than 215.06.

It is greater than 215.06.

The calculation is as follows:

[tex]= 215.06 \div 0.7[/tex]

= 308

This 308 should be more or greater than 215.06

Therefore we can conclude that It is greater than 215.06.

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Solve for x in the equation x squared + 2 x + 1 = 17.

Answers

Answer:

Step-by-step explanation:

x^2 + 2x + 1 = 17

x^2 + 2x = 17 - 1

x^2 + 2x = 16

x^2 + 2x + 1 = 16 + 1

(x + 1)(x + 1) = 17

(x + 1)^2 = 17

x + 1 = sqrt 17

x = -1 (+ - ) sqrt 17

x = -1 + sqrt 17 or x = -1 - sqrt 17 <===

Answer:

x = -1 + square root 17

Step-by-step explanation:

I took the test

At eagle bay it cost $12 per hour to rent a Canoe Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve a linear equation to find the cost to rent the canoe for 7 hours

Answers

The cost to rent the canoe for 7 hours is $ 104

Solution:

At eagle bay it cost $12 per hour to rent a Canoe

Nate and his friends rented a canoe for 4 hours and paid $68

Let "x" be the number of hours rented

We can solve use the point slope equation

[tex]y-y_1 = m(x-x_1)[/tex]

Where, "m" is the rate of change

[tex](x_1, y_1)[/tex] is the sample point

From given,

m = 12

[tex](x_1, y_1) = (4, 68)[/tex]

Therefore,

[tex]y - 68 = 12(x-4)[/tex]

[tex]y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20[/tex]

Thus the linear equation is found

Here, "y" represents the amount paid for "x" hours

Find the cost to rent the canoe for 7 hours

Substitute x = 7 in linear equation

y = 12(7) + 20

y = 84 + 20

y = 104

Thus cost to rent the canoe for 7 hours is $ 104

Final answer:

To find the cost to rent the canoe for 7 hours, we can use the equation: Cost = Rate x Time. Given that the rate is $12 per hour and the time is 4 hours, the cost can be calculated as $68. Therefore, the cost to rent the canoe for 7 hours would be $119.

Explanation:

To find the cost to rent the canoe for 7 hours, we can use the equation:


Cost = Rate x Time

Given that the rate is $12 per hour and the time is 4 hours, we can substitute these values into the equation:

68 = 12 x 4

Solving for the rate, we get:

Rate = 68 ÷ 4

Therefore, the rate is $17 per hour. To find the cost to rent the canoe for 7 hours, we can multiply the rate by the time:

Cost = Rate x Time = 17 x 7 = $119

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Angle e measures 126LaTeX: ^\circ∘. What is the measure of LaTeX: \angle∠h?
PLEASE HURRY will give brainliest
Group of answer choices
A 108LaTeX: ^\circ ∘ ∘

B 36LaTeX: ^\circ ∘ ∘

C 126LaTeX: ^\circ ∘

D 54LaTeX: ^\circ

Answers

Option C: 126° is the correct answer

Step-by-step explanation:

When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.

The opposite vertical angles are equal.

In the given figure, the pairs of vertically opposite angles are e,h and f,g.

Given

∠e = 126°

The measurement of e and h will be equal as they are vertically opposite

So,

m∠e = m∠h

m∠h = 126°

Hence,

Option C: 126° is the correct answer

Keywords: Vertical angles, lines

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What is the next number in the pattern of perfect squares shown below?
1,9, 25, 49 ...
A.36
B.64
C.81
D.121

Answers

Answer: 81

Step-by-step explanation:

The pattern of the sequence is :

[tex]1^{2}[/tex] , [tex]3^{2}[/tex] , [tex]5^{2}[/tex] , [tex]7^{2}[/tex] , [tex]9^{2}[/tex] ...

Which will be :

1 , 9 , 25 , 49 , 81 , ...

Therefore , the next pattern in the sequence is 81

These points are linear.
Find the slope.
x|2|3|4 5 6 7
y 10/15/20 25 30 35
slope = [?]​

Answers

Slope is 5
Change in y over change in x
15-10/3-2
5/1=5

Can someone plz help!!!


Which of the following possibilities will form a triangle?

A: side 15 cm, side =7cm , side =7cm


B: side =14cm,side=6cm,side=8cm


C: side=14cm,side=6cm, side=7cm


D: side=15cm , side =7cm,side =9cm

Answers

Answer: Choice DTriangle with sides 15, 7, 9

=============================================

Explanation:

A triangle is only possible if you can add two sides and have that sum be larger than the third side. This is the triangle inequality theorem.

Choice A is ruled out because the second and third sides add to 7+7 = 14, but that's not larger than the first side 15.

Choice B is a similar story: 6+8 = 14 is not larger than 14 (the first side)

Choice C as well: 6+7 = 13 is not larger than 14

------

Choice D is the answer because

15+7 > 9

15+9 > 7

7+9 > 15

These three inequalities show that picking any two sides of this triangle, then adding them up, leads to a sum larger than the third side.

make a question similar to the one below:
for example:
Solve this quadratic equation: x^2 = 81

and then solve it and explain how you did it.

Answers

Answer:

two solutions : 9   ; -9

Step-by-step explanation:

x²=81

means : x² - 81 =0   but 81 = 9²

use identity ; a² - b² = (a-b)(a+b)

x² -9² = 0     : (x-9)(x+9)=0

x-9=0 or x+9 = 0

x =9 or x = -9

Solution please!!!!!

Answers

Answer:

All that you would have to do is add 10 more blocks to show that its 10 more than 43

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