The measurement of two angles is 24° and 66°
Step-by-step explanation:
First of all, let us define complementary angles
The angles whose sum is 90° are called complementary angles
Given
∠K = (3x+3)
∠L = (10x-4)
According to the definition,
[tex]K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91[/tex]
Dividing both sides by 13
[tex]\frac{13x}{13} = \frac{91}{13}\\x = 7[/tex]
So,
∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°
∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°
Hence,
The measurement of two angles is 24° and 66°
Keywords: Complementary angles, Angles
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The area of a parallelogram increased from 40 to 128 square centimeters what is area percentage?
Answer:
320
Step-by-step explanation:
j u s t a g u e s s b u t i t h i n k i t s r i g h t
To find the area percentage increase when the area of a parallelogram increased from 40 to 128 square centimeters, calculate the percentage change as 220%.
The area percentage increase can be calculated as follows:
Initial area = 40 cm²Final area = 128 cm²Area increase = 128 cm² - 40 cm² = 88 cm²Percentage increase = (Area increase / Initial area) x 100%Substitute the values: Percentage increase = (88 cm² / 40 cm²) x 100% = 220%The slope of the line below is 2. Use the coordinates of the labeled point to
find a point-slope equation of the line. (1,9)
O A. y-9 = 2(x - 1)
O B. y+9 = -2(x + 1)
O C. y+ 9 = 2(x+1)
O D. y-9=-2(x - 1)
Answer:
Step-by-step explanation:
y - y1 = m(x - x1)
(1,9)...x1 = 1 and y1 = 9
slope(m) = 2
now we sub
y - 9 = 2(x - 1) <===
The point-slope equation of the line with slope 2 that passes through the point (1, 9) is y - 9 = 2(x - 1).
Explanation:To find the point-slope form equation of a line with a given slope and a point, use the formula y - y1 = m(x - x1),
where (x1, y1) is the point on the line and m is the slope.
In this case, the slope is given as 2 and the point is (1,9).
Substituting these values into the point-slope form formula yields the equation y - 9 = 2(x - 1), which represents the linear relationship between x and y corresponding to the described line.
A car is purchased with a loan of $8.000 for two years with simple interest. The amount that is paid back is $8,160
Which function represents the interest on this loan after years!
The function that represents the interest on this loan after years is Interest = Principal × Rate × Time.
Explanation:The function that represents the interest on this loan after years can be calculated using the formula for simple interest:
Interest = Principal × Rate × Time
In this case, the principal is $8,000, the rate is unknown, and the time is 2 years. The interest paid back is $8,160, so we can rewrite the formula as:
$8,160 = $8,000 × Rate × 2
Dividing both sides of the equation by $8,000 × 2 gives:
Rate = $8,160 / ($8,000 × 2)
Solving this equation gives a rate of 0.51, or 51%.
The ratio of boys to girls is 10:7. If there is 84 girls, how many boys are there?
Answer:1
Step-by-step explanation:
Given the line below.
Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, 2). Use the box provided to submit all of your calculations and final answers.
Answer:
The equation of the line in point slope form is equal to
[tex]y+2=(x+2)[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(-2,-2) and (2,2)
substitute the values
[tex]m=\frac{2+2}{2+2}=1[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=1\\(x1,y1)=(-2,-2)[/tex]
substitute the values in the formula
[tex]y-(-2)=(1)(x-(-2))\\y+2=(x+2)[/tex]
What is the volume of the figure below?
Answer:
420 cm
Step-by-step explanation:
Complete the conversion. 104 km = ______ m A. 10.4 m
B. 104 m
C. 10,400 m
D. 104,000 m
Answer:
The area of a the parallelogram is 88meers squared
Evaluate using the order of operations.
3/4 + 5/6 ÷ 2/3
What is the answer?
Answer: Its 2
Step-by-step explanation: PEMDAS Keep.Change.Flip.
5/6×3/2=15/12=1 3/12
1 3/12+3/4(3/3)
1 3/12+9/12=1 12/12=2. BOOM!
5 A dangerous criminal has escaped from
prison. The police believe he could not have
traveled more than 10 mi in any direction
from the prison. How many square miles
must be searched?
Answer:
314 mile²
Step-by-step explanation:
area = πr² = 3.14 x 10² = 314 mile²
which is an equation of the line that passes through the points (5,2) and (10,-3)
Answer:
y = x - 4
Step-by-step explanation:
equation of a line can be expressed as
(x - x1)/(x2 - x1) = (y - y1)/(y2 - y1)
(x - 5)/(10 - 5) = (y - 2)/(-3 - 2)
cross multiplying,
-5(x - 5) = 5(y - 2)
clearing the parentheses
-5x + 10 = 5y - 10
hence,
5y = 5x - 20
y = x - 4
6) Janelle has 150 surveys she has to hand out. She conducts 11 surveys
an hour, x. Which equation models the situation?
Answer:
y = 150 - 11x
Step-by-step explanation:
Janelle is starting out with 150 surveys and if she is conducting 11 surveys an hour, then that means you need to subtract 11x from 150 because that will give you how many surveys she has left.
how to do multiplication
Context?
??????????????
Find the Quotient.
5,483 ÷ 4
Answer:
1370.75
Step-by-step explanation:
Kyle swan 450 yards in 5 minutes. What is the average number of yards he swam per minute?
Answer:
90 yards a minute
Step-by-step explanation:
The way to figure this out is simple. Just do the amount of yards he or she did total, which is 450, then divided it by the amount of time it took him or her to do so, which is 5 minutes, meaning the equation is 450 divided by 5 equaling 90.
Answer:i think its 90
Step-by-step explanation:
450 / 5 = 90
5x/3 + 1/3 =12 find x
Answer:
x = 7.002 or 7
Step-by-step explanation:
5x/3 + 1/3 = 12
- 1/3 - 1/3
5x/3 = 11 2/3
3(5x/3) = 3(11 2/3)
5x = 35.01
x = 7.002 or 7
Help!!!!!!!!!!!!!!!!
Answer:
If the input is n then the output f(n) will be 4n - 8.
Step-by-step explanation:
Let the input of the function is denoted by x and the output is denoted by y.
Then, two ordered pairs of the linear function i.e.(x,y) are (2,0) and (3,4).
Therefore, the relation between x and y i.e. the equation of the straight line will be given by
[tex]\frac{y - 4}{4 - 0} = \frac{x - 3}{3 - 2}[/tex]
⇒ y - 4 = 4(x - 3)
⇒ y = 4x - 8
⇒ f(x) = 4x - 8
Therefore, if the input is n then the output f(n) will be 4n - 8. (Answer)
What is the vertex of the graph of f(x) = |x + 3|+ 7? (3,7) (7,3) (-3, 7)(7,-3)
Answer:
vertex (-3 , 7)
Step-by-step explanation:
vertex (h, k) f(x) = a | x - h | + k
f(x) = |x + 3|+ 7 , h = - 3 and k = 7
vertex (-3 , 7)
The value of vertex of the graph would be,
⇒ (-3 , 7)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We know that;
Standard form of equation is,
⇒ f(x) = a | x - h | + k
Where, vertex = (h, k)
Here, The equation of graph is,
f(x) = |x + 3|+ 7 ,
And, h = - 3 and k = 7
Thus, The value of vertex of the graph would be,
⇒ (-3 , 7)
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Kim Jones works for an hourly rate of 7.50. This week kim worked 39 hours. What is Kim’s gross pay for this week?
Kim's gross pay for this week is $292.50.
To calculate Kim's gross pay for this week,
we multiply the number of hours she worked by her hourly rate.
In this case, Kim worked 39 hours and her hourly rate is $7.50.
So, we can multiply 39 by $7.50 to find her gross pay.
39 * $7.50 = $292.50
Therefore, Kim's gross pay for this week is $292.50.
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Li’s garden is shaped like a rectangle. The area of the garden is 232 meters. If the length is 8 meters, what is the perimeter?
16 m
29 m
58 m
74 m
Answer: 29 m
Step-by-step explanation: First find the width
Since Area = Length x Width
Width = Area/Length = 232/8 = 29
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a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. for how many days will the water of this tank last?
The water will last for 3 days
Solution:
Given that, village having a population of 4000, requires 150 litres of water per head per day
Let us first find the volume of tank
The tank measuring 20m x 15m x 6m
Length = 20 m
Breadth = 15 m
Height = 6 m
[tex]volume\ of\ tank = length \times breadth \times height[/tex]
[tex]Volume\ of\ tank = 20 \times 15 \times 6 = 1800[/tex]
Thus volume of tank is 1800 cubic meter
From given,
Water required per person per day = 150 liters
Therefore, water required for 4000 people per day is:
[tex]\rightarrow 4000 \times 150 = 600000 \text{ liters }[/tex]
Convert to meters
[tex]600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3[/tex]
How many days will the water of this tank last?
[tex]\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}[/tex]
[tex]\text{Number of days water will last } = \frac{1800}{600} = 3[/tex]
Thus the water will last for 3 days
Answer would be greatly appreciated. (MATH)
Answer:
6
Step-by-step explanation:
Which equation has the same solution as x
2
−
6
x
−
14
=
0
Answer:
x = -2
Step-by-step explanation:
9th grade math thanks
Answer:
Plumber A has greater initial fee
Step-by-step explanation:
Plumber B:
Hourly charge = 160 - 105 = $55
Initial charge = 105 - 55 = $50
Equation: y = 50 + 55x
Answer:
C
Step-by-step explanation:
For plumber A : y = 100 + 30x
For plumber B :
Let the total charge be y
Initial charge be x
Hourly rate be za
For total price = 105 in 1hr
105 = x + a ........(1)
For 160 total charge in 2hrs
160 = x + 2a .........(2)
Substracting (1) from (2)
160 - 105 = 2a - a
55 = a
Substituting a = 55 in (1)
105 = x + a
105 = x + 55
x = 105 - 55
x = 50
:- equation for total charge is
y = 50 + 55a
How to solve the inequality x+8>2
Answer:
the answer to the inequality is x>-6
Step-by-step explanation:
x+8>2
x>2-8
x>-6
The general strategy for solving an equation of the form x/a = b is to
O
A. divide both sides by b
O
B. multiply both sides by a
O
c. multiply both sides by b
D. divide both sides by a
E. divide both sides by x
Answer:
B, hope this helps you!
The general strategy for solving an equation of the form x/a = b is to multiply both sides by a.
What is an Equation ?A mathematical statement that two expressions are equal: it is either an identity in which the variables can assume any value, or a conditional equation in which the variables have only certain values (roots) the act of regarding as equal .
Solving equations is computing the value of the unknown variable still balancing the equation on both sides.
The general strategy for solving an equation of the form x/a = b
To solve this equation we will multiply both sides by a
On multiplying
x = ab
Therefore Option B. multiply both sides by a is the correct answer.
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MARKING BRAINLIST | What is the value of y?
Answer: y = 5
Step-by-step explanation:
This triangle is isosceles.
So, ∠ABC = ∠ACB = 75°
Now,
sum of interior angles of a triangle = 180°
∠ABC + ∠ACB + ∠BAC = 180°
75° + 75° + (4y + 10)° = 180°
160° + 4y° = 180°
4y° = 20°
y = 5
Four times a number, n, added to 3 is 47
Answer:
4 x 11 + 3 = 47
Step-by-step explanation:
n = 11
The equation that represents the situation will be 4n + 3 = 47. And the solution of the equation is 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Four times a number, n, added to 3 is 47. Then the equation is given as,
4n + 3 = 47
Simplify the equation, then we have
4n + 3 = 47
4n = 47 - 3
4n = 44
n = 11
The equation that represents the situation will be 4n + 3 = 47. And the solution of the equation is 11.
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7. You go out to dinner and the bill is $40 and you want to leave the server a 15% tip. How much of a tip are you going leave?
The tip i will leave is of 6 dollars.
What is percentage ?Percentage is the value per hundredth. Suppose we have 500 dollars and we need find 50% of it.We know 50% of 500 dollars is half of it which is 250 dollars.
To find 50% of 500 dollars we put the the given percentage on numerator and divide by hundred and multiply it by the given amount.
∴ (50/100)×500
= 250 dollars.
According to the given question
You go out to dinner and the bill is $40 and you want to leave the server a 15% tip.
We have to find what is 15% of 40 dollars which is
= (15/100)×40 dollars.
= 6 dollars.
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8/x=14/7 what does x equal
Answer:
when you have two fractions that equal each other you want to solve by using cross multiply
What cross multiply is, is when you multiply diagonally so:
8/x=14/7
you would take 14*x and 8*7
14x=56 (you would then divide each side by 14)
x=4 (14/14=1, 56/14=4)
8/4=14/7
To check your work you could simplify
8/4=2
14/7=2
2=2, which is true
x=4
Hope this helps ;)
Which operations are commutative and
associative?
addition
O subtraction
multiplication
division
Answer:
additionmultiplicationStep-by-step explanation:
When learning about commutative and associative properties, we learn that ...
a + b = b + a . . . . . addition is commutative
ab = ba . . . . . . . . . multiplication is commutative
But we also know that ...
a - b ≠ b - a . . . . . . subtraction is not commutative
a/b ≠ b/a . . . . . . . . division is not commutative
__
We also learn that ...
a + (b+c) = (a+b) +c . . . . addition is associative
a(bc) = (ab)c . . . . . multiplication is associative
And of course, ...
a - (b -c) ≠ (a -b) -c . . . . subtraction is not associative
a/(b/c) ≠ (a/b)/c . . . . . . . division is not associative
_____
However, you can use associative and commutative properties in problems involving subtraction and division if you write the expression properly:
a - (b - c) = a +(-(b -c)) = a +((-b) +c) = (a +(-b)) +c . . . . keeping the sign with the value makes it an addition problem, so the associative property can apply
(a/b)/c = (a(1/b))(1/c) = a(1/b·1/c) = writing the division as multiplication by a reciprocal makes it so the associative property can apply
Answer:
addition
multiplication