The answer is 184. 23 * 8 = 184. 184 * 2 = 368. 368 ÷ 2 = 184
Answer:

Step-by-step explanation:
<h3><u>Given that:</u></h3>
Exterior angle of L = 5x + 12
M = 3x - 2
N = 50
<h3><u>Statement:</u></h3>
- Exterior angle is equal to the sum of non-adjacent interior angles.
So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.
Here,
Exterior angle of L = M + N
5x + 12 = 3x - 2 + 50
5x + 12 = 3x + 48
Subtract 12 to both sides
5x = 3x + 48 - 12
5x - 3x = 36
2x = 36
Divide 2 to both sides
x = 18
So,
<h3><u>Measure of angle M:</u></h3>
= 3x - 2
= 3 (18) - 2
= 54 - 2
= 52°
Now,
<h3><u>Measure of angle L:</u></h3>
<u>We know that,</u>
- Sum of all the interior angles of triangle is 180 degrees.
L + M + N = 180°
L + 52 + 50 = 180
L + 102 = 180
Subtract 102 to both sides
L = 180 - 102
L = 78°
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Answer: 681 square inch
Step-by-step explanation:
Hi, we have to apply the formula for the surface area:
A = 2wl + 2lh + 2hw
Where:
w: width
l: length
h: height
Replacing with the values given:
A = (2x12x18.25) + (2x12x3)+(2x18.25x3)
A= 438+72+109.25
A=619.5 in2
Since it has to be 10% more than the surface.
619.5 x (10/100) = 61.95 in2
Adding that value to the surface area
619.5+61.95 = 681.45in2 = 681 in2
X + (4x+15) = 180
5x+15=180
5x=165
x=33
4(33)+15=147. (Or you could subtract 33 from 180)
Check answer: 33+147=180 yes