Y = 104°
z = 24
Angle y° and (5z - 44)° are linear pairs, meaning that the two measures together will add up to 180°.
To solve for z, know that (5z - 44)° and 76° are vertical angles, meaning that both angles are the same.
So simply set them equal to each other to find z:
5z - 44 = 76
5z = 76 + 44
5z = 120
z = 24
Now to solve for y, remember that since (5z - 44)° and 76° are vertical angles, they are the same, meaning you can denote (5z - 44)° as simply 76°. Like I said earlier, y and 76° are a linear pair so simply subtract 76 from 180 to find y:
180 - 76 = 104°
Answer:
B. The change in the total amount if money for every one additional ride she goes on
Step-by-step explanation:
Given,
y = 26 + 1.5x, where,
y = total amount of money Eva will spend
x = number of rides Eva rides on
Thus,
Set price of admission into the amusement park = $26
Price per ride = $1.5
Therefore, the 1.5 I'm the equation can be said to be "the change in the total amount if money for every one additional ride she goes on".
Answer:
8. Louis
9. Rose; Raymond
Step-by-step explanation:
8. An exponent represents the number of times the base appears as a factor in the product.
We use a coefficient to signify repeated addition: 3x means x+x+x.
We use an exponent to signify repeated multiplication. x³ means x·x·x.
So, the expression ...

You can see that the factor 4 appears 7 times in the product, so would be represented in exponential form as ...

Louis has correctly observed this fact. In general, we see that multiplying powers of the same base causes those powers to be added.
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9.
<u>Part A</u>. Rose is correct for the same reason as in problem 8.
5^5 · 5^2 = 5^(5+2) = 5^7
<u>Part B</u>. Raymond is correct. We know that division cancels similar terms from the numerator, so ...

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The rules of exponents we're using here are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)