First option: correct. This is because angles WOX and XOZ are supplementary, so

Second option: correct. By the inscribed angles theorem, we have

Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.
Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means

Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.
Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have

Okay the answer is 3 3/4, 3÷4=.75 then put in the whole number and it is 3.75. 3.75 is bigger than 3.62.. so the answer is 3 3/4
Let's define variables:
x = Rate in $ / hr of the mechanic working 15hr
y = Rate in $ / hr of the mechanic working 5hr
We have the following system of equations:
x + y = 130
15x + 5y = 1400
Solving the system we have:
x = $ 75 / hr
y = $ 55 / hr
Answer:
the rate charged per hour by mechanics was:
x = $ 75 / hr
y = $ 55 / hr
Answer:
9.42 cube.yd
Step-by-step explanation:
Volume of cylinder= πr^2h
- 3.14 × 0.5 × 0.5 × 12
- 9.42 cube.yd
7526.44 because you look at the thousanth place (the 2) and since it is less than 5 you round down