Question

Conti. 7-10 thanks a lot!

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Answer 1

Answers:

10. b.
`\displaystyle 13`

9. b.
`\displaystyle 20`

8. a.
`\displaystyle 33`

7. a.
`\displaystyle 25°`

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

`\displaystyle 3x - 5 = x + 7 \hookrightarrow (-12)/(-2) = (-2x)/(-2) \\ \\ 6 = x`

Plug this back into the equation to get
`\displaystyle 13`on both sides.

9. All edges in a square obtain congruent right angles and edges, so set
`\displaystyle 45`equivalent to the given expression:

`\displaystyle 45 = 2x + 5 \hookrightarrow (40)/(2) = (2x)/(2) \\ \\ \boxed{20 = x}`

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

`\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow (165)/(5) = (5x)/(5) \\ \\ \boxed{33 = x}`

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

`\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}`

I am joyous to assist you at any time.