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3 years ago

What is the length of DE?

Mathematics

1 answer:

g100num [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Yes

Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.

∠A and ∠B are complementary, and ∠C and ∠B are complementary.

Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.

Prove: ∠A ~= ∠C.

Statements Reasons

1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given

2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary

3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality

4. m∠A = m∠C Substitution (step 3)

5. ∠A ~= ∠C Definition of ~=

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4 years ago

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3 years ago

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Step-by-step explanation:

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3 years ago

<img src="https://tex.z-dn.net/?f=2x-7y%3D9%5C%5Cx%2B2y%3D10" id="TexFormula1" title="2x-7y=9\\x+2y=10" alt="2x-7y=9\\x+2y=10" a

coldgirl [10]

Answer:

x=8 y=1

Step-by-step explanation:

you have first and second equation, YOU MUST FIND THE THIRD EQUATION

SOLUTION

FIND equation 3 from 2

x+2y=10

x=10-2y...........3

Substitute equation 3 from first (not from the equation where you got equation 3)

2 (10-2y)-7y=9

20-4y-7y=9

-11y=9-20

-11y= -11

-11y/-11= -11/-11

y=1

Find the value of x from the third equation

x=10-2 (1)

x=8

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3 years ago