30% converted to a decimal is 0.30
310 x 0.3 = 93 students play an instrument
5. The reason you would need 5 cups is simple. For 48 cookies you need 3 cups of flour meaning that 48/3 is 16 cookies PER CUP. In order to find out how many cups is needed for 80 in simple. You found out that 1 cup of flour makes 16 cookies. Divide 80 by 16 (80/16) and you get 5. You would need 5 cups of flour.
16. To find the area of a triangle, the formula is B (base) x H (height) x 1/2. The base of the shaded triangle is 4, and the height of the shaded triangle is 8. Times that together, you get 32. Times 1/2 means divide it by a half, so 32 divided by 2 equals to 16.
Answer/Step-by-step explanation:
The angles where two unequal sides of a kite meet are congruent to each other. Thus, these two opposite angles in a kite are equal to each other.
Therefore:
7. <E = <G
Sum of interior angles of a quadrilateral = 360
Thus,
<E = (360 - (150 + 90))/2
<E = 120/2
<E = 60°
<E = <G (set of congruent opposite angles of a kite)
Therefore,
<G = 60°
8. <H = <F (set of congruent opposite angles of a kite)
<F = right angle = 90°
Therefore:
<H = 90°
<G = 360 - (90 + 110 + 90) (sum of quadrilateral)
<G = 70°
9. Based on trapezoid midsegment theorem, the equation should be:
MN = (AB + DC)/2
Thus:
8 = (14 + DC)/2
8 * 2 = 14 + DC
16 = 14 + DC
16 - 14 = DC
2 = DC
DC = 2
10. A kite has only one set of opposite angles that are congruent to each other. The angles where the unequal sides meet, <B and <D, is the only set of angles that are congruent.
Therefore, m<A ≠ 50°
Rather, m<B = m<D = 120°
m<A = 360 - (120 + 120 + 50) (sum of quadrilateral)
m<A = 70°
For 1 bags of leaves
= $15/5
= $3
Martin can earn $3 for each bag
so,
For 24 bags of leaves
= $3 x 24
= $72
