Answer:
8) <em>x</em>=9
10) 23 degrees
Step-by-step explanation:
8) vertical angles are congruent to each other so we can set the expressions as such and solve:
<u>7x</u> + 3 = <u>10x</u> - 24
<u>3</u> = 3x<u> - 24</u>
<u>27</u> = <u>3x</u>
9 = x
10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for <em>x</em>:
<u>12x</u> + 7 + <u>6x</u> - 7 = 90
18x <u>+ 7 - 7</u> = 90
<u>18x</u> = <u>90</u>
x = 5
now we plug it back into the expression equivalent to the measure of angle O:
<u>6(5)</u> -7
<u>30 - 7</u>
23 degrees
<span>Let the number of hours she works be x
2x+15 15 more than twice the
3x-15 15 less than 3 times the hours she worked
2x+15=3x-15
3x-2x= 30
x= 30
the number of hours she worked is 30
</span>
Answer:
523.333 cubic yards
Step-by-step explanation:
The formula for the volume of a sphere is 
where 
is the radius.
The radius of the given sphere is 
yards and 
.
Therefore, we can substitute in the radius and solve:
cubic yards
It would be B I believe!!
Ax^2 + bx + c
a = 1
b = -4
c = -5
x^2 -4x-5
-5x1 = -5
-5+1 = -4
(factors of c that also add up to b)
ANSWER: (x-5) (x+1)
