solve each problem. drag the correct answer to the red box. 9. how many are in choir and pep club? 10. what…

Explanation:

Step1: For question 10 (slope of y = x - 4)

The slope - intercept form is y=mx + b, where m is the slope. For y = x - 4, m = 1.

Step2: For question 11 (simplify (w^{2}\cdot w^{8}=w^{?}))

Use the rule (a^{m}\cdot a^{n}=a^{m + n}), so (w^{2}\cdot w^{8}=w^{2 + 8}=w^{10}).

Step3: For question 12 (rate of change of function in table)

Rate of change (=\frac{\Delta y}{\Delta x}=\frac{22 - 15}{2-0}=\frac{7}{2}=3.5) (using first two points ((0,15)) and ((2,22))).

Step4: For question 13 (height of cylinder)

The volume formula of a cylinder is (V=\pi r^{2}h). Given (V = 188.4), (r = 2) and (\pi=3.14). Substitute into the formula: (188.4=3.14\times2^{2}\times h), (188.4 = 3.14\times4\times h), (188.4=12.56h), (h=\frac{188.4}{12.56}=15).

Step5: For question 15 (value of x in (25=x^{2}))

Take the square - root of both sides. (x=\pm5). Since we are likely looking for a non - negative solution in a basic context, (x = 5).

Step6: For question 14 (missing angle in right - triangle)

In a right - triangle, if one non - right angle is not given and the other non - right angle is assumed to be (45^{\circ}) (not enough information in the picture, but if it's an isosceles right - triangle), the missing angle is (45^{\circ}). If we assume it's a general right - triangle and no other information, we can't solve it. Let's assume basic cases, if it's a (30 - 60-90) triangle and one non - right angle is (30^{\circ}), the other is (60^{\circ}). Without more info, we can't be sure.

Step7: For question 16 (measure of angle a)

Without enough information about the angles formed by the lines (such as parallel lines and transversals information), we can't solve it.

Answer:

10. 1
11. 10
12. 3.5
13. 15
14. 5
15. Insufficient information
16. Insufficient information