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AleksandrR [38]
3 years ago
12

Amber believes triangle ABC and triangle GFE are congruent. She has recorded the measures of some of the angles and the lengths

of some of the sides in the triangles below.
Triangle F E G. Side F E is 50 centimeters, side E G is 38 inches, and side G F is 32 centimeters. Angle F is 50 degrees, angle E is 40 degrees, angle G is 90 degrees. Triangle A B C. Side B A is 32 centimeters and side B C appears to be opposite to angle A with a measure of 90 degrees.

What additional measurement would support Amber’s hypothesis?
The measure of Angle C is 32°.
The measure of Angle C is 40°.
The measure of Angle C is 50°.
The measure of Angle C is 90°.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0
<h2><u><em>B.</em></u><em>                      ......................................                                                   </em></h2>
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Answer:

24

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

a^{2} + b^{2} = c^{2}

The legs of the triangle are put into either a or b and the hypotenuse is put into c. In this case, they've already given you the hypotenuse, but now you need to find the leg:

45^{2} + b^{2} = 51^{2}

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<em><u>Subtract 2025 from both sides:</u></em>

2025 + b^{2} = 2601

-2025       -2025

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b^{2} = 576

<em><u>Square root:</u></em>

\sqrt{b^{2} } = \sqrt{576}

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Answer:

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Step-by-step explanation:

0.6(10n+25)=10+5n

Step 1: Simplify both sides of the equation.

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Step 2: Subtract 5n from both sides.

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Step 3: Subtract 15 from both sides.

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