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Leya [2.2K]
3 years ago
12

Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i

s made up of two opposite rays.
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°

needs to be a actual two column proof with statements and reasons. im just not really understanding it

Mathematics
2 answers:
kramer3 years ago
6 0

Answer:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement                                        Reason

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Hence proved

Brums [2.3K]3 years ago
4 0

Answer:

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Step-by-step explanation:

Listed in the above answer!

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H(x)=-2x-10 <br> H(8)<br> Find x if h(x)=14
worty [1.4K]

Part 1

Plug in x = 8 and simplify

h(x) = -2x-10

h(8) = -2(8)-10

h(8) = -16-10

<h3>h(8) = -26</h3>

================================

Part 2

Replace h(x) with 14. Follow PEMDAS in reverse to solve for x.

h(x) = -2x-10

14 = -2x-10

14+10 = -2x

24 = -2x

24/(-2) = x

-12 = x

<h3>x = -12</h3>

If x = -12, then h(x) = 14

In other words, h(-12) = 14

------

Check:

h(x) = -2x-10

h(-12) = -2(-12)-20

h(-12) = 24-20

h(-12) = 14

5 0
3 years ago
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SashulF [63]

Final Answer: w = -4

Steps/Reasons/Explanation:

Question: Solve -0.6w = 2.4.

<u>Step 1</u>: Divide both sides by -0.6.

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<u>Step 2</u>: Simplify \frac{2.4}{0.6} to 4.

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3 years ago
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lys-0071 [83]

Answer:

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Step-by-step explanation:

The constraints on protein, minerals, and vitamins give rise to the inequalities ...

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To minimize cost, the daily feed should be ...

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Answer:

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