Answer: 10 inches
Step-by-step explanation:
If the two triangles are similar, that means their sides are proportional to each other.
- JK = 15
- JL = 15 + 6 = 21
- JM = 14
<em>The proportion would look like this:</em>
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<em>Substitute in the values:</em>
<em />
<em>Cross-multiply and solve for JN:</em>
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First, the angles of triangle MNP add up to 180º. Since angle M is 142º and angle P is 24º, angle N must be (180-24-142)º or 14º.
Now angle N is congruent to angle U.
2x - 50 = 14
2x = 64
x = 32
Segment NP is congruent to segment US, so 13 = 2x - y AND x=32.
13 = 62 - y
y = 49
3×3×3=27
3^3=27
3 Cubedis when you multiply 3 by 3 by 3, or in another words 3 by 3 times.
I hope this helped.
Answer:
Step-by-step explanation:
The area of a regular polygon is
where a is the apothem and p is the perimeter. Perimeter is simple: just count the number of sides the polygon has and multiply it by 3 (the length of one side).
p = 3(9) is 27 inches for the perimeter.
We have what we need now to find the area:
and
so
A = 55.35 square inches
