Answer:
x = 13
RQ = 160°
Step-by-step explanation:
Inscribed angles are half the intercepted arc angle.
5x + 15 = ½ (RQ)
RQ = 10x + 30
Arc angles add up to 360°.
10x + 30 + 9x + 17 + 6x − 12 = 360
25x + 35 = 360
25x = 325
x = 13
Therefore, RQ = 160°.
Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x
<h3>Variation</h3>
y = k × x
4 = k × 2
4 = 2k
k = 4/2
k = 2
when y = 2 and x = 4
y = k × x
= 2 × 4
y = 8
y = k/x
4 = k / 2
8 = k
when y = 2 and x = 4
y = k/x
2 = k/4
2 × 4 = k
k = 8
So,
y = k/x
y = 8/x
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Answer:
Step-by-step explanation:
To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

n = 4
k = 3





Answer:
20 + 35x
Step-by-step explanation:
We have the expression 5(4 + 7x) and are asked to distrbute it.
When distributing, it's very simple, all you have to do is multiply the number outside the parenthesis with the numbers inside the parenthesis.
Therefore :
(5(4) + 5(7x))
20 + 35x
You have to divide the numerator (top number) by the denominator (bottom number). For example, 1/2 is 0.5
However, some end up as never-ending decimals, like 1/3, which converts to 0.333 repeating.