<span>The answer to the question is A. 48 degrees. In a complimentary angle, both of the angles have to add up to 90 degrees. For this case, with 42 degrees, the complimentary would be 48 degrees as they both add up to 90 degrees in the problem presented above.</span>
Answer:
x=5
Step-by-step explanation:
You first have to distribute. So multiply the 3 with whats inside the parenthesis. So 3 times 2x is 6x. And 3 times -3 is -9. That means that so far you have 6x-9. Now on the other side you have 4x+1. So you move the 9 over to the other side by doing the opposite of it. Meaning +9. So you add 9 to 1 giving you 10. Now you have, 6x=4x+10. Just subtract 4x from 6x, which gives you 2x. Lastly, you divide the 10 by 2x because division is the opposite of multiplication
Answer:
(s +1)²(s +5)
Step-by-step explanation:
Factors of the first denominator are ...
s² +2s +1 = (s +1)²
Factors of the second denominator are ...
s² +6s +5) = (s +1)(s +5)
The least common denominator will be the product of the unique factors to their highest power.
LCD = (s +1)²(s +5)
I find it most useful to leave the denominator in this form. Your computer may require it be multiplied out.
LCD = (s² +2s +1)(s +5) = s³ +2s² +s + 5s² +10s +5
LCD = s³ +7s² +11s +5
Y=-4x+5 I believe you just rewrite the equation like this
Answer:
∠H = 120
Step-by-step explanation:
See the attached figure
HALT is a parallelogram
So, angles H and T are supplementary.
∠H = 2x + 60 and ∠T = x + 30
∠H + ∠T = 180
∴ 2x + 60 + x + 30 = 180
∴ 3x + 90 = 180
∴ 3x = 180 - 90 = 90
∴ x = 90/3 = 30
So, ∠H = 2x + 60 = 2 * 30 + 60 = 60 + 60 = 120
