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
7 squared = 49 and 9 squared= 81 add up 49 and 81 and you get 130
I think the answer is 4 because you have to count all the numbers before the 3rd marking. Also count the actual 3rd marking.
Answer:
D. 68+(6x+4)=180
x = 18
Step-by-step explanation:
"Supplementary angles" are angles that add up to 180°
So we add the twi angles 68+(6x+4) and that equals to 180°.
68 + 6x + 4 = 180
add 68 and 4
72 + 6x = 180
subtract 72.
6x = 108
divide by 6.
x = 18
