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Dima020 [189]
3 years ago
13

Find the value of x in each case:

Mathematics
1 answer:
love history [14]3 years ago
4 0

9514 1404 393

Answer:

  x = 45°

Step-by-step explanation:

The triangle interior angle at I will be the supplement of the angle marked 2x. The triangle interior angle at G will be equal to x, the alternate interior angle with respect to transversal GI crossing the parallel lines.

The angle marked 3x is the sum of these "remote" interior angles:

  3x = 180 -2x +x

  4x = 180 . . . . . . . . . add x; next, divide by 4

  x = 180/4 = 45 . . . . . degrees

  x = 45°

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The fence encloses at 22 ft2
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The line of reflection is the ____. y-axis, center of rotation, x-axis
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Answer:The line of reflection is the y axis

Step-by-step explanation:

8 0
3 years ago
If US=52, ST=30, UT=40, VW=27, and XW=36, find the perimeter of ΔVWX. Round your answer to the nearest tenth if necessary. Figur
Ierofanga [76]

Answer:

The perimeter is 109.8

Step-by-step explanation:

As we can see here, the angles of the triangles are congruent so we can say that both triangles are congruent

When two triangles are congruent, the ratio of their corresponding sides are equal

So we can get the scale factor here by looking at the sides facing each specific angle in both triangles

In the bigger triangle,

The side facing 34 degrees has a length of 30

In the smaller triangle,

The side facing 34 degree has a length of 27

So the scale factor to get the smaller from the bigger is 27/30 = 9/10 or 0.9

Likewise the side facing 51 degrees in the bigger is 40 while for the smaller, it is 36

So the ratio still stands at 36/40 = 9/10 or 0.9

In essence, the smaller triangle will have a perimeter that is 0.9 times that of the bigger

The perimeter of the bigger is simply the sum of the side lengths

We have this as;

(52 + 30 + 40) = 122

so that of the smaller would be;

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3 0
3 years ago
Jennifer has 25 coins with a total value of $4.25. The coins are quarters and nickels. How many of each does she have?
kirill115 [55]

Answer:

15 quarters, 10 nickels

Step-by-step explanation:

q+n=25

0.25q+0.05n=4.25

multiply the first equation by -0.25 and add the second equation to it

-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25
________________
                -0.2n=-2

n=\frac{-2}{-0.2} =10   has 10 nickels

q=25-n=25-10=15  has 15 quarters

10(.05) +15(0.25) = 0.5 + 3.75 = 4.25

Hope this helps

8 0
1 year ago
A model of a human heart is 14 ft tall. If the scale used is 1 ft: 1/4 inch, how tall is the actual heart?
Simora [160]
The actual height of the heart is 3.5 inches

14 * .25 = 3.5 inches

I hope this helps :)

6 0
3 years ago
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