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Aloiza [94]
3 years ago
9

Find xandeach of theinterior angles.​

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

Part 1) x=27

Part 2) The measure of the interior angles are 64°-67°-49°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In this problem

(3x-17)^o+(x+40)^o+(2x-5)^o=180^o

Solve for x

Combine like terms

(6x+18)^o=180^o

Subtract 18 both sides

6x=180-18

6x=162

Divide by 6 both sides

x=27

step 2

Find the measure of each interior angle

substitute the value of x in each measure

(3(27)-17)=64^o

(27+40)=67^o

(2(27)-5)=49^o

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dsp73

\displaysyle (\sqrt 2)^{3}=(2^{\frac{1}{2}})^3=2^{\frac{1}{2} \cdot 3}=2^{\frac{3}{2}}=\sqrt {2^3}=\sqrt 8

√8 is between 2 and 3, because 2²=4<8, but 3²=9>8. Also, our value is closer to 3 than to 2, so it is more than 2.5 and we have C and D options left.

Among these two numbers we find the one which is closer to √8.

C. 27=√729 ⇒ 2.7=√7.29

D. 28=√784 ⇒ <u>2.8=√7.84</u>

Hence our answer is D) 2.8

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3 years ago
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3 What is the y-intercept of the line with the equation Y = 1/2 - x - 3?
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Answer:

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Step-by-step explanation:

Given Equation :

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3 years ago
Last year there were 1,435 8th grade students enrolled at your sc hool. This year there are 1,220. What is the percent change in
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Answer:

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Step-by-step explanation:

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(Hopefully this is correct, have a nice day!)

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