Question

① use substitution to match these solutions to their equations. (7, 36, 42, 3)
\\(\frac{a}{3}=4, a = ___\\)
\\(b = 6, b=___\\)
\\(\frac{36}{c}=8, c=___\\)
② use the commutative property to write an equivalent expression.
7 + h =
③ identify if the question is statistical or non - statistical.
\what is your favorite movie?\
④ graph and label the polygon: (1, 2), (7, 2), (3, 5), (9, 5)
⑤ graph and label the polygon: (2, - 7), (5, - 3), (9, - 3), (9, - 7)

Explanation:

Step1: Solve the first - type equations

For $\frac{a}{3}=4$, multiply both sides by 3.
$a = 4\times3=12$
For $\sqrt{b}=6$, square both sides.
$b = 6^{2}=36$
For $\frac{56}{c}=8$, cross - multiply to get $56 = 8c$, then divide both sides by 8.
$c=\frac{56}{8}=7$

Step2: Use the commutative property

The commutative property of addition states that $a + b=b + a$. So for $7 + h$, the equivalent expression is $h + 7$.

Step3: Determine if the question is statistical

A statistical question has variability in the answers. The question "What is your favorite movie?" has different answers for different people, so it is a statistical question.

Step4: Graph the first polygon

The points of the first polygon are $(1,2),(7,2),(3,5),(9,5)$. Plot these points on the coordinate - plane and connect them in order to form a polygon.

Step5: Graph the second polygon

The points of the second polygon are $(2, - 7),(5, - 3),(9, - 3),(9, - 7)$. Plot these points on the coordinate - plane and connect them in order to form a polygon.

Answer:

1. $a = 12$, $b = 36$, $c = 7$
2. $h + 7$
3. Statistical
4. Graph the polygon with vertices $(1,2),(7,2),(3,5),(9,5)$
5. Graph the polygon with vertices $(2, - 7),(5, - 3),(9, - 3),(9, - 7)$