Answer:
Step-by-step explanation:
<u><em>To Determine:</em></u>
Solve for x and find angle LMN.
<u><em>Fetching Information and Solution Steps:</em></u>
Considering the angle 
As MO bisects the angle
into two equal angle parts. These equal angles are:


As these angles are equal. i.e.












Hence, 
As
was cut into two equal parts
and 
So,
= 
= 
= 
=
∵ 
= 
Therefore, 
Keywords: angle bisector, congruent angles
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Answer:
f(x) + g(x) = 3x + 7
Step-by-step explanation:
f(x) = 2x + 2, g(x) = x + 5
f(x) + g(x) = 2x + 2 +x + 5
f(x) + g(x) = 2x +x + 5 +2
f(x) + g(x) = 3x + 7
Answer:
4x³ + 12x²
Step-by-step explanation:
I assume the denominators are x² and 4x although that is not what you wrote.
x² = x² (already factored)
4x² + 12x = 4x(x + 3)
LCD = 4 × x² × (x + 3)
LCD = 4x³ + 12x²
B. Hundredths
It goes tenths, hundredths, thousandths
Answer:
9(n + 22) ≤ -15
Step-by-step explanation:
9 times the sum of a number and 22 is at most −15
Let n = number
Times = multiplication
Sum = Addition
9 * n + 22
We must add parenthesis on the end on 22 and before n
We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22
We would have 9(n + 22)
9(n + 22) is at most -15
At most meaning that -15 is the highest number that 9(n + 22) can equal
Because it says at most 9(n + 22) can equal -15 or anything less than -15
So at most can be replaced with ≤
9(n + 22) ≤ -15