Answer:
x=8
Step-by-step explanation:
3(x-10)=-6
3x-30=-6
3x=24
x=8
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Answer:
Step-by-step explanation:
In parallelogram adjacent angles are supplementary
∠U +∠V = 180
9x + 15 + 6x + 15 = 180
Combine like terms
9x + 6x + 15 + 15 = 180
15x + 30 = 180
Subtract 30 from both sides
15x = 180 - 30
15x = 150
Divide both sides by 15
x = 150/15
x = 10
∠U = 9x + 15
= 9*10 + 15
= 90 + 15
∠U = 105
∠V = 6x + 15
= 6*10 + 15
= 60 + 15
∠V = 75
Answer:
C) (a-12b)(a+12b)
Step-by-step explanation:
a^2-144b^2 = (a-12b)(a+12b)
This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.
This can be explained by multiplying them.
(a-12b)
<u> *(a+12b) </u>
a²- 12ab
<u> +12ab - 144b² </u>
<u> a² +0 - 144b² </u>
We see we get the same answer as applying the formula above.
3x + 5x = 320
8x = 320
x = 40
3(40) : 5(40) = 120 : 200
The best answer would be Option C.