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tensa zangetsu [6.8K]

3 years ago

13

Write a complete two-column proof for the following information given

1 answer:

rosijanka [135]3 years ago

5 0

<u>Statement </u> <u>Reason</u>

1. AB = x + 16 1. Given

BC = 4x + 11

AC = 77

2. AB + BC = AC 2. Segment Addition Postulate

3. x + 16 + 4x + 11 = 77 3. Substitution Property

4. 5x + 27 = 77 4. Simplification <em>(added like terms)</em>

5. 5x = 50 5. Subtraction Property of Equality

6. x = 10 6. Division Property of Equality

7. AB = 10 + 16 7. Substitution Property

8. AB = 26 8. Simplification <em>(added like terms)</em>

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Two supplementary angles are in the ratio of 31:5 find angles

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Answer:

The angles are <u>155°</u> and <u>25°</u>.

Step-by-step explanation:

Given:

Two supplementary angles are in the ratio of 31:5.

Now, to find the angles.

The sum of two supplementary angles = 180°

Let the ratio of the angles be $31x\ and\ 5x$ .

So, according to question:

$31x+5x=180\°$

$36x=180\°$

<em>Dividing both sides by 36 we get:</em>

$x=5$

So, $31x=31\times 5=155\°.$

And, $5x=5\times 5=25\°.$

Therefore, the angles are 155° and 25°.

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Step-by-step explanation:

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Option B is tge right answer.

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A

Step-by-step explanation:

Because 6^3/6^6 is equivalent to 1/216.A is 1/36

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