Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.

Q: what’s the value of t?

a) 2
b) 3
c) 6
d) 8

Points D And E Are Midpoints Of The Sides Of Triangle ABC. The Perimeter Of The Triangle Is 48 Units.Q:

Answers

Answer 1

The value of t = 2. Option a) 2 is the correct answer.

Step-by-step explanation:

Perimeter is the sum of three sides of a triangle.

Given that, the points D and E are midpoints of the sides.

Therefore,

side AB= AD+DB

       AB= 3t + 3t = 6t

side BC= BE+EC

       BC= 4t + 4t = 8t

side AC= 7t+6

Perimeter of the triangle= sum of (side AB+side BC+side AC)

48 = 6t+8t+7t+6

48 = 21t+6

t= 42/21

t= 2


Related Questions

PLEASE BE QUICK!!

What is the area of the triangle? On a coordinate plane, a triangle has a base of 8 units and a height of 6 units.

Answers

Answer:

Therefore the Area of Triangle is 24 units².

Step-by-step explanation:

On a Co-ordinate plane

A Triangle having

Base = 8 units

Height = 6 units

To Find:

Area of Triangle = ?

Solution:

When Base and Height is given , then Area of triangle is given by

[tex]\textrm{Area of Triangle} = \dfrac{1}{2}\times Base\times Height[/tex]

Substituting the values we get

[tex]\textrm{Area of Triangle} = \dfrac{1}{2}\times 8\times 6=24\ units^{2}[/tex]

Therefore the Area of Triangle is 24 units².

Answer: 24

Step-by-step explanation:

base is 8

height is 6

two positive improper fractions are multiplied. Is the product sometimes, always, or never less than 1? Explain

Answers

From 1 to 2 24 so if I was 52 it would be 83 and 4 times

Marilyn has 7/8 yard of ribbon. What is the maximum number of 1/16 yard long pieces Marilyn can cut from this ribbon

Answers

Marilyn can cut 14 equal pieces

Solution:

Given that, Marilyn has 7/8 yard of ribbon

To find: Maximum number of 1/16 yard long pieces Marilyn can cut from this ribbon

From given information,

[tex]\text{Total length of ribbon } = \frac{7}{8} \text{ yard }[/tex]

[tex]\text{Length of 1 piece } = \frac{1}{16} \text{ yard }[/tex]

Number of pieces that can be cut from total length of ribbon is found by dividing the total length of ribbon by length of 1 piece

Therefore,

[tex]\text{Number of pieces } = \frac{\text{Total length of ribbon}}{\text{Length of 1 piece }}[/tex]

Substituting the values, we get

[tex]\text{Number of pieces } = \frac{\frac{7}{8}}{\frac{1}{16}}\\\\\text{Number of pieces } = \frac{7}{8} \times \frac{16}{1}\\\\\text{Number of pieces } = 14[/tex]

Thus 14 pieces of ribbon can be cut

Will make brainliest if answered correctly
These two boxes have the same volume.

Box A
Height: 2 in., Width: 3 in., Length: 6 in.

Box B
Height:3in., Width:4in., Length:?

What is the length of Box B?

A.2in
B.3in
C.4in
D.9in

Answers

Answer:

B

Step-by-step explanation:

Because they have same volume we have :

V(boxA)=2*3*6=36[tex]in^3[/tex]

V(boxB)=3*4*l=12l

V(boxA)=V(boxB)

So we have this equation :

36=12l

Divide by 12

l=3

a museum's gift shop had 280 animal shaped erasers . Each package had 8 erasers. how many packages are there​

Answers

Answer:

35

Step-by-step explanation:

just due 280 divided by 8

A flying disc has a radius of
7inches. What is the area of one side of the flying disc to the nearest square inch? Use
3.14 as an approximation for pi
A.615 square inches
B. 38 square inches
C.154 square inches
D.44 square inches

Answers

7^2 x 3.14 = 154 inches^2

The required area of the flying disc is 154 square inches.

A flying dis has radius of 7 inches. Area of the disc to be determine.


What is area circle?

Area of circle is given by the pie times square of radius.

Area of circle = πr^2

                       = 3.14 * 7 *7
                       =  154 square inches

Thus, the required area of the flying disc is 154 square inches.

   

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change the decimal to a fraction and reduce .62

Answers

Answer:

31/50

Step-by-step explanation:

0.62 = 62/100 = 31/50

Which statement describes the behavior of the function f (x) = 3x/4-x
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.

Answers

Answer:

A. The graph approaches –3 as x approaches infinity.

Step-by-step explanation:

when looking at the problem F (x) + 3x/x-4 the answer would lead up to..

Finding the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain:  

( − ∞ , 4 ) ∪ ( 4 , ∞ ) , { x | x ≠ 4 }

Range:  ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) , { y | y ≠ -3 }

are what it leads to and seeing the range -3 would have x as infinite/ -∞

so A is the correct option to me

The statement that describes the behavior of the function f(x) = 3x/4-x is The graph approaches 0 as x approaches infinity.

Option B is the correct option.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The statement "The graph approaches 0 as x approaches infinity" is the correct statement that describes the behavior of the function f(x) = 3x/(4-x).

We can use the limit definition of approaching infinity.

When x becomes very large (positive or negative), the term 4 - x in the denominator becomes very small, approaching zero.

As a result,

The fraction 3x/(4-x) approaches zero as x approaches infinity.

This can be confirmed using L'Hopital's rule, which gives the limit of the function as 0/1, or simply by observing the graph of the function.

Thus,

The graph approaches 0 as x approaches infinity.

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A circular path 3 feet wide has an inner diameter of 350 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π.

Answers

Answer:

18.84 feet farther is it around the outer edge of the path than around the inner edge.

Step-by-step explanation:

Given:

A circular path 3 feet wide has an inner diameter of 350 feet.

Use 3.14 for π.

Now, to find how much farther is it around the outer edge of the path than around the inner edge.

Width of the circular path = 3 feet.

Inner diameter of circular path = 350 feet.

So, to get the inner radius we divide the inner diameter of circular path by width of circular path:

[tex]350\div 3[/tex]

[tex]=116.67\ feet.[/tex]

r = 116.67 feet.

Now,

Thus, the outer radius is:

[tex]116.67+3[/tex]

[tex]=119.67\ feet.[/tex]

R = 119.67 feet.

Now, we get the circumference of inner edge and outer edge:

Circumference of inner edge = 2πr.

[tex]Circumference\ of\ inner\ edge=2\times 3.14\times 116.67[/tex]

                                                 [tex]=732.69\ feet.[/tex]

Circumference of outer edge = 2πR.

[tex]Circumference\ of\ outer\ edge=2\times 3.14\times 119.67[/tex]

[tex]Circumference\ of\ outer\ edge=751.53\ feet.[/tex]

Now, to get how much farther is it around the outer edge of the path than around the inner edge:

Circumference of outer edge - circumference of inner edge.

[tex]751.53-732.69[/tex]

[tex]=18.84\ feet.[/tex]

Therefore, 18.84 feet farther is it around the outer edge of the path than around the inner edge.

The difference in distance around the outer edge of the path compared to the inner edge is 18.84 feet.

To find how much farther it is around the outer edge of the circular path compared to the inner edge, we need to calculate the circumferences of both the inner and outer edges and find the difference.

1.  First, calculate the inner circumference using the inner diameter of 350 feet:

Inner Circumference = π × inner diameter = 3.14 × 350 = 1099 feet.

2. Next, calculate the outer diameter by adding the width of the path to each side of the inner diameter:

Outer Diameter = inner diameter + 2 × width of the path = 350 + 2 × 3 = 356 feet.

3. Then, calculate the outer circumference using the outer diameter:

Outer Circumference = π × outer diameter = 3.14 × 356 = 1117.84 feet.

4. Finally, find the difference between the outer and inner circumferences:

Difference = Outer Circumference - Inner Circumference = 1117.84 - 1099 = 18.84 feet.

Therefore, it is 18.84 feet farther around the outer edge of the path than around the inner edge.

483.6 is what percent of 180

Answers

Answer:

We assume, that the number 180 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 180, so we can write it down as 100%=180.

4. We know, that x% equals 483.6 of the output value, so we can write it down as x%=483.6.

5. Now we have two simple equations:

1) 100%=180

2) x%=483.6

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=180/483.6

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.6 is what percent of 180

100%/x%=180/483.6

(100/x)*x=(180/483.6)*x       - we multiply both sides of the equation by x

100=0.37220843672457*x       - we divide both sides of the equation by (0.37220843672457) to get x

100/0.37220843672457=x

268.66666666667=x

x=268.66666666667

now we have:

483.6 is 268.66666666667% of 180

A restaurant offers hamburgers with one, two, or three patties. Let X represent the number of patties a randomly chosen customer orders on their hamburger. Based on previous data, here's the probability distribution of X along with summary statistics:

X=# of patties 1 2 3
P(X) 0.40 0.50 0.10
Mean: μX​=1.7
Standard deviation: σX​≈0.67
The total price of each burger is set at $2 per patty. Let T represent the total price a randomly chosen customer pays for their burger. Find the mean of T

Answers

Answer:

The mean price a randomly chosen customer pays for her or his burger is US$ 3.40

Step-by-step explanation:

Let's find out the mean of T (total price a randomly chosen customer pays for their burger), this way:

Mean of T = 0.4 * $ 2 + 0.5 * $ 4 + 0.1 * $ 6

Mean of T = 0.8 + 2 + 0.6

Mean of T = US$ 3.40

The mean price a randomly chosen customer pays for her or his burger is US$ 3.40

In the given case, the mean of T is [tex]\[ \boxed{3.4} \text{ dollars} \][/tex]

To find the mean of T, which represents the total price a randomly chosen customer pays for their burger, we can use the relationship between T and X.

Given that the price per patty is $2, the total price T can be expressed as:

T = 2X

We are given the mean number of patties [tex]\( \mu_X = 1.7 \).[/tex]

The mean of a transformed variable can be found using the linear transformation properties of the mean.

Specifically, if [tex]\( T = aX + b \),[/tex] then:

In this case, since  T = 2X , we have a = 2 and  b = 0.

Therefore:

[tex]\[ \mu_T = 2\mu_X + 0 = 2 \times 1.7 = 3.4 \][/tex]

So, the mean of T is- [tex]\[ \boxed{3.4} \text{ dollars} \][/tex]

Which number means the same as 7,000,000,000 + 900,000,000 + 20,000,000 + 7,000,000 + 100,000 + 70,000 + 3,000 + 800 + 60? A. 7,927,137,860 B. 7,972,173,860 C. 7,927,173,806 D. 7,927,173,860

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. 7,927,173,860

Step-by-step explanation:

Because math

find the greatest common divisor for 22/34 then simplify the fraction​

Answers

Step-by-step explanation:

[tex]22=\boxed{2}\times11\\\\34=\boxed2\times17\\\\GCD(22,\ 34)=\boxed2\\\\\dfrac{22}{34}=\dfrac{22:2}{34:2}=\dfrac{11}{17}[/tex]

Answer:

11/17

Step-by-step explanation:

22 and 34

22: 1, 2, 11, 22

34: 1, 2, 17, 34

22/34 ÷ 2/2 = 11/17

Addie saved more than $36. Which inequality represents the amount she saved

Answers

Answer:

S>36

where S is saving

Choose the answer
Your classmate has made a list of the events she wants to include in her personal
narrative. Read these events. Then select the answer that displays the best sequence
for these events
• Luckily, I was able to see my director in the front row. She was mouthing the
words to my line
• I woke up.
• I was shaking as I walked up to the stage
• Inished the scene and received a standing ovation
• I forgot my line and froze,
• I was so nervous that I couldn't eat anything all day.

Answers

I woke up. I was so nervous that I couldn't eat anything all day. I was shaking as I walked up to the stage. I forgot my line and froze. Luckily, I was able to see my director in the front row. She was mouthing the words to my line. I finished the scene and received a standing ovation.
Final answer:

The best sequence for the events in the personal narrative would be: waking up, feeling nervous, walking up to the stage, forgetting the line, director helping with the line, and receiving a standing ovation.

Explanation:I woke up.I was so nervous that I couldn't eat anything all day.I was shaking as I walked up to the stage.I forgot my line and froze.Luckily, I was able to see my director in the front row. She was mouthing the words to my line.I finished the scene and received a standing ovation.

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what does 3 over 4 times 2 equal?

Answers

Answer: 1.5

Da maths: Bruh ask google

3/(4*2)
3/8
it is in simplified form
Decimal form .375

10. Find the equation of a line with a slope of O and that passes through
the point (-2,5).

Answers

Answer:

Y=5

Step-by-step explanation:

If the slope is 0 it will be a line parallel to the x axis with a constant value of y and since we know it passes through a point with y coordinate of 5 we know that the constant value of y is 5

LN is tangent to circle o at point M and QM is a diameter. Determine the measure of the following angles.
The measure of QML is degrees
The measure of ZPMN is degrees.
270

Answers

Answer:

Part 1) [tex]m\angle QML=90^o[/tex]

Part 2) [tex]m\angle PMN=63^o[/tex]

Step-by-step explanation:

The complete question in the attached figure

Part 1) Find the measure of angle QML

we know that

According to the Perpendicular Tangent Theorem, tangent lines are always perpendicular to a circle's radius at the point of intersection

so

radius OM is perpendicular to LN at point M

therefore

[tex]m\angle QML=90^o[/tex]

Part 2) Find the measure of angle PMN

we know that

[tex]m\angle QMN=m\angle QMP+m\angle PMN[/tex] ---> by angle addition postulate

we have

[tex]m\angle QMN=90^o[/tex]

[tex]m\angle QMP=27^o[/tex]

substitute

[tex]90^o=27^o+m\angle PMN[/tex]

[tex]m\angle PMN=90^o-27^o=63^o[/tex]

Applying the perpendicular tangent theorem, the missing angles are:

m∠QML = 90°

m∠PMN = 63°

What is the Perpendicular Tangent Theorem?

The Perpendicular Tangent Theorem states that tangent lines are perpendicular to the radius of a circle at the point where they intersect, forming a right angle.

Thus:

Based on the perpendicular tangent theorem,

m∠QML = m∠QMN = 90°

Thus:

m∠QML = 90°

m∠PMN = 90° - 27°

m∠PMN = 63°

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need help ASAP (linear / non-linear)​

Answers

Answer:

linear

Step-by-step explanation:

It is linear because the line is straight.

write ratios for sin C, cos C, and tan C

Answers

Answer:

I got u

Step-by-step explanation:

sin C = 7/25 or 0.28

cos C = 24/25 or 0.96

tan C = 7/24 or about 0.292

lmk if u want me to explain how trigonometric functions work

Final answer:

The ratios for sin C, cos C, and tan C in a right triangle are y/h, x/h, and y/x respectively, where y is the opposite side, x is the adjacent side, and h is the hypotenuse.

Explanation:

To write ratios for sin C, cos C, and tan C in a right triangle, you need to refer to the lengths of the sides of the triangle relative to angle C. If we denote the opposite side to angle C as y, the adjacent side as x, and the hypotenuse as h, the ratios are defined as follows:

sin C = opposite/hypotenuse = y/hcos C = adjacent/hypotenuse = x/htan C = opposite/adjacent = y/x

In a practical scenario, if you know the magnitude of one side and the direction angle, you can use these ratios to find the scalar components of a vector in a coordinate system, solve problems involving the Law of Sines and Law of Cosines, or analyze wave functions in physics. For example, the Law of Sines relates the lengths of the sides of a triangle to the sines of its angles as follows:


 a/sin A = b/sin B = c/sin C

Where a, b, and c are the sides of the triangle opposite to angles A, B, and C, respectively.

approximate
[tex] log_{3}14 + 1 [/tex]

Answers

Answer:

log(14) / log(3) + 1   OR  3.40217350

Step-by-step explanation:

Which statement describes whether a right triangle can be formed using one side length from each of these squares? 3 squares have areas of 64 inches squared, 225 inches squared, and 289 inches squared.
A: Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
B:Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square.
C:No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area of the largest square.
D:No, a right triangle cannot be formed because the sum of the areas of the two smaller squares equals the area of the largest square.

Answers

Answer:

the correct answer is B

"yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square."

Step-by-step explanation:

took the test, got it right. nice day folks. amos @kay_flores575

Right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square.

What is area?

" Area is the space occupied by any two dimensional  object on the flat surface."

What is right angled triangle?

"Right angled triangle is a two dimensional figure with three sides and three vertices . Any one of the interior angle should be equals to 90°."

Formula applied

Pythagoras theorem

a² = b² +c²

According to the question,,

Three square with areas 64inches , 225 inches and 289 inches.

We can write this areas as

  289 = 225 + 64

⇒(17)² = (15)² + (8)²

Applying formula we can say that a right triangle can be formed.

Hence, we conclude that Option B is correct.

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What is the solution for x in the equation?
9x - 20 - 4x = 40

Answers

Answer:

Step-by-step explanation:

X=12

Answer:

x= 12

Step-by-step explanation:

9x-20-4x=40

add 20 on both sides

40+20=60

combine like terms

9x-4x=5x

divide 60 by 5

=12

What is the sum of 2x^2 and 2x^3

Answers

For this case we have the following expression:

[tex]2x ^ 2 + 2x ^ 3[/tex]

The terms are not similar, so they cannot be added.

Examples of similar terms:

[tex]x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4[/tex]

Then, the expression given can only be rewritten as:

[tex]2 (x ^ 2 + x ^ 3)[/tex]

This is taking common factor 2 to both terms.

Answer:

[tex]2 (x ^ 2 + x ^ 3)[/tex]

Write the expression in simplest form. h+6h

Answers

Answer:

h has a coefficient 1 so u will afd 6h +h=7h

The store bought a pair of shoes for $50, and sold it for $80.What percentage was the mark up

Answers

The markup percentage on the shoes that were bought for $50 and sold for $80 is 60%.

To calculate the markup percentage, you subtract the original cost from the selling price and then divide that number by the original cost. Finally, you multiply the result by 100 to get the percentage.

The formula looks like this: ((Selling Price - Original Cost) / Original Cost)×  100. Let's apply this formula to your question.

The store bought the shoes for $50 and sold them for $80. So the markup in dollars is

$80 - $50 = $30

Now, let's convert this to a percentage:

Markup Percentage =

[tex]= \frac{80-50}{50} \times 100 \\\\= \frac{30}{50} \times100\\\\ = 60\%[/tex]

The markup percentage is 60%.

What is the experimental probability of drawing a red marble, given the following results?
Marble Color Blue Green Red
Times Drawn 8

Answers

Answer:

7/20..i hope its correct

Step-by-step explanation:

all = 8+5+7

=20

red marbles / all = 7/20

Answer:

7/20

Step-by-step explanation:

What is the following product? (5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

Answers

Answer:

(5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

=   98 - 40[tex]\sqrt{6}[/tex]

Step-by-step explanation:

i) (5[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{3}[/tex]) × (5√2 - 4√3)

=(5[tex]\sqrt{2}[/tex] × 5[tex]\sqrt{2}[/tex]) - (5[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{3}[/tex]) - (4[tex]\sqrt{3}[/tex] × 5[tex]\sqrt{2}[/tex]) + (4[tex]\sqrt{3}[/tex] × 4[tex]\sqrt{3}[/tex])

= 50 - 20[tex]\sqrt{6}[/tex] - 20[tex]\sqrt{6}[/tex] + 48

= 98 - 40[tex]\sqrt{6}[/tex]

Answer:

98 - 40√6

Step-by-step explanation:

The words expression can be represented as follows:

(5√2 - 4√3) (5√2 - 4√3)

The question is to find the products .

(5√2 - 4√3) (5√2 - 4√3)

Multiply through to open the bracket

25 × 2 - 20√6- 20√6 + 16 × 3

50 - 20√6 - 20√6 + 48

50 - 40√6 + 48

50 + 48 - 40√6

98 - 40√6

Maureen bought a coat. She was excited because it was on sale, so she paid $15.25 less than the original price. She paid $48.75 for the coat. Write and solve an equation to determine the original price. Let p represent the original price. It's getting cold outside! The temperature dropped steadily at a rate of about 4 degrees every hour. If the temperature dropped a total of 22 degrees, how many hours have passed? Let h represent the number of hours

Answers

Answer:

$33.50 for coat, 5.5 hours

Step-by-step explanation:

For the coat, since it was on sale, then it would be $48.75-$15.25=p=$33.50.

If the temperature drops 4 degrees every hour, if t dropped 22 degrees, then you would do 22 divided by 4, to find out how many hours it had dropped for. 22 divided by 4=h=5.5 or 5 1/2.

Which statement describes the graph of the system of equations below? 1.5x+0.2y=2.68
1.6+0.3y=2.98

Answers

Answer:

( 1.17 3 ,  4.6 )

Step-by-step explanation:

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