Given the isosceles trapezoid below, find AG.
Show all the work

Given The Isosceles Trapezoid Below, Find AG.Show All The Work

Answers

Answer 1

We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

[tex]40 - 24 = 16[/tex]

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of [tex]GT[/tex] and [tex]EF[/tex]

[tex]\frac{16}{2} = 8[/tex]

Finally, we can use the Pythagorean Theorem to find the length of [tex]AG[/tex]:

[tex]AG^{2} + GT^{2} = AT^{2}[/tex]

[tex]AG^{2} + 8^{2} = 10^{2}[/tex]

[tex]AG^{2} + 64 = 100[/tex]

[tex]AG^{2} = 36[/tex]

[tex]AG = 6[/tex]


Related Questions

Find A, B and ? Please show steps as well

Answers

35+55+a=180
90+x=180
-90. -90
A= 90


The diagram shows the front face of a barn,
The width of the barn is 12 m.
The height of the barn is 8m.
The sides of the barn are both of height 5m.
Work out the area of the front face of the barn.

Answers

Answer:

the front face of the barn: 78m^2

Step-by-step explanation:

look at the photo

The area of a 2D form is the amount of space within its perimeter. The area of the front face of the barn is 78 m².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The diagram of the barn can be made as shown below. Therefore, the area of the front face of the barn is,

Area of the barn front = Area of the triangle + Area of the rectangle

                                     = (5 × 12) + (0.5 × 3 × 12)

                                     = 60 m² + 18 m²

                                     = 78 m²

Hence, the area of the front face of the barn is 78 m².

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Equation practice with vertical angles solve for x

Answers

Answer:

x = -11

Step-by-step explanation:

6x+185 = 8x+207

substract 8 from both side and you will get

-2x = 22

and then divide by -2 and x will be equal to

x = -11

If Birr 2400 is invested at 6 simple interest per annum, then what is the amount after 4 years?

Answers

Answer:

R2976

Step-by-step explanation:

2400(1+0.06×4)

=R2976

Help brainliest question!!!

Answers

Answer:

The second option

Step-by-step explanation:

Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.

3x + 2y = -2
2x - 2y = -18

Answers

Answer:

What’s your Question?

Step-by-step explanation:

7. Alex has 4 red marbles 3 blue marbles, 2 yellow marbles, 6 purple marbles, and one white marble. Alex picked a marble out of the bag, recorded the color in the chart (to the right), then replaced the marble. He repeated this experiment fifteen times. COLORS FREQUENCY
What is Alex's experimental probability of Red getting a blue?

b. What is Alex's theoretical probability of getting a blue?​

Answers

Answer:

B

Step-by-step explanation:

i need help, i don’t understand

Answers

Answer:

a = 14

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, sum to 180°

a² - 10a + 7a + 26 = 180

a² - 3a + 26 = 180 ( subtract 180 from both sides )

a² - 3a - 154 = 0 ← in standard form

(a - 14)(a + 11) = 0 ← in factored form

Equate each factor to zero and solve for a

a - 14 = 0 ⇒ a = 14

a + 11 = 0 ⇒ a = - 11

Since a > 0 , then a = 14

Can someone plz help me with this one problem plz I really need this to be correct!!!

Answers

Answer:

The answers would be 5.42 and 5.1.

Step-by-step explanation:

The diagram shows 5.39, so those answers would be more than the diagram shows.

PLEASEE HELPPP! IT DUE TONIGHT!!!

Answers

Answer:

Step-by-step explanation:

Answer:

11 +5x=y

y-11-5x=0

Step-by-step explanation:

what's 28.782 to the nearest degree?

Answers

Answer:

I really dont know so u do it

Step-by-step explanation:

Answer:  It's 29 degrees.

I tried this problem out but I’m not sure if I’m right also this is a test worth 100 points can someone show me if u made any mistake can j explain also ?

Answers

Answer:

Median without outlier should be 40

For the bottom questions, it should go:

Decreases the mean, does not change the median, does not change the mode

It's decreasing the mean because it goes from 44.7 to 39

Median w/ and without outlier is both 40

Mode also stays the same w/ or without the outlier, which is 96

What is the margin of error for a sample statistic for a population with a standard deviation of 6.75?

Answers

Answer:

Step-by-Margin of Error  = 1.96 x  7.75 = 15.19

step explanation:

i) Margin of Error of a population with a standard deviation of 7.75?

ii) Let us assume a two tailed test with a 95% confidence interval

iii)  

iv) therefore Margin of Error  = 1.96  7.75 = 15.19

Answer: 13.5

Step-by-step explanation:

Hey need more help with this test dont answer if you dont know

Answers

No,
Option b is the correct answer

Helppppp
needdddd it​

Answers

Answer:

angle don+angle gil=90°

don+ 74°=90°

don=90°-74°

don=16°

angle e + angle a=180°

128°+angle a=180°

angle a=180°-128°

angle a=52°

Answer:

1. 16°

2. 52°

Step-by-step explanation:

So!! Complementary angles add up to 90 degrees, and supplementary angles add up to 180 degrees. With this, it should be really easy. To find the measure of angle DON:

m∠DON + m∠OIL = 90°

m∠DON + 74°=90°

m∠DON=16°

For the measure of angle A:

m∠A+m∠E=180°

m∠A+128°=180°

m∠A=52°

Hope this helped!

A large candy bar was 102 calories. The smaller candy bar has 18 percent less
calories. How many calories does the smaller candy bar have?

Answers

Answer:

89 I think

Step-by-step explanation:

my bad if I'm wrong I bearly woke up

Susan has a birdfeeder in the shape of a rectangular prism. It is filled with bird seed to a height of 58 feet as shown. How many cubic feet of bird seed does Susan need to fill the rest of the birdfeeder?

Answers

Answer:

Susan needs 1 23/64 cubic feet of bird seed to fill the rest of the birdfeeder.

Step-by-step explanation:

I did the math.

0.11718 cubic feet of bird seed Susan need to fill the rest of the birdfeeder.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

We have,

It is filled with bird seed to a height of 5/8 feet as shown.

So, Susan need to fill the rest of the birdfeeder

= 5/8 x 1/2 x 3/8

= 15 / 128

= 0.11718 feet

Learn more about Fraction here:

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yuurrrr i need help yo plz help

Answers

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Answer: CD = 90

Explanation:

4b-30=3b

b = 30

3b = CD

3(30) = 90

CD = 90

I hope this helped!

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- Zack Slocum

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Answer:

90

Step-by-step explanation:

it is a square and all the edges have same len;

4b-30 = 3b , b = 30

.

3b = 90

log (z ^ 3)/(x ^ 4 * y ^ 5) with steps please

Answers

Answer:

Step-by-step explanation:

Find the value of x. Round to the nearest tenth. Assume that segments appearing to be tangents are tangent to the circle.

Answers

Answer:

x=8.4

Step-by-step explanation:

[tex](2x)^{2} +12.6^{2} =21^{2} \\\\4x^{2} +158.76=441\\\\4x^{2}441-158.76\\\\4x^{2} =282.24\\\\x^{2} =70.56\\\\x=8.4[/tex]

hope it helps....

have a great day :)

Find the midpoint of points A(9, -2) and B(-1,8) graphically.​

Answers

Answer:

the midpoint is (4,3)

Step-by-step explanation:

Which statement is true? A The greatest common factor of 10 and 14 is 5. B The greatest common factor of 10 and 15 is 5. C The greatest common factor of 13 and 21 is 3. D The greatest common factor of 14 and 21 is 3.​

Answers

A - the greatest common factors is 5

Please help with my ACT PRep

Answers

Answer:

it's D because in a graph y=3/4x-2 is not possible

Find the diameter of a circle with the given dimensions. 1. d = 6 cm

Answers

But the diamerter equals d, so 6.

Answer:

its 6

Step-by-step explanation:

because your finding the diameter.

find total surface area WILL FIVE BRAINLIEST

Answers

317.06646122227 in^2

NEED ANSWER ASAP GIVING LOTS OF BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1. X2 +3x+5

2. 5x-1+

3. x2+ 3x-5

Answer:

this is your answer of first one..

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled
using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of
$45 per hour. The plumber works a maximum of 8 hours per day.
For one day of work, what is the range of the function for this situation?
A0 B 80 C 0 D 45 < < 685

Answers

Answer:

i have the same question

Step-by-step explanation:

i have the same question

Which of the following points has coordinates that are 5 horizontal units from point A?

A. left parenthesis 3 comma 2 right parenthesis
B. left parenthesis 3 comma 7 right parenthesis
C. left parenthesis negative 2 comma 7 right parenthesis
D. left parenthesis 5 comma 2 right parenthesis

Answers

Answer:

A. left parenthesis 3 comma 2 right parenthesis

Step-by-step explanation:

It's correct 100%

Find the distance between (-1,-2) and (8,9)

Answers

Answer:

[tex]\sqrt{202}[/tex] units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula  [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

[tex]d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}[/tex]  

So, as an exact answer, the distance is [tex]\sqrt{202}[/tex] units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)  

Answer:

14.2

Step-by-step explanation:

All you need to do is plug the coordinates into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[8 - (-1)]² + [9 - (-2)]²

√(9)² + (11)²

√81 + 121

√202

= 14.2

Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
n = 2165; p = 0.63

A. σ = 22.46
B. σ = 25.73
C. σ = 20.05
D. σ = 26.58

Answers

C is the answer to your question
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