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wlad13 [49]
3 years ago
14

How do I solve for K on the bottom triangle?

Mathematics
1 answer:
vitfil [10]3 years ago
3 0

Answer:

k = 3

Step-by-step explanation:

The two triangles are congruent;

Triangle EFD is and enlargement of triangle QRP by scale factor 2;

So we can get side RP (k) by halving FD.

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7 0
3 years ago
Find missing side length SH. ROUND answer to nearest tenth please.
vovangra [49]

Answer: SH = 19.23 ft

Step-by-step explanation:

Considering the given triangle SHX, to determine angle SH, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

SH/SinX = XH/SinS = XS/SinH

The sum of the angles in a triangle is 180. Therefore,

X = 180 - (66 + 61) = 53°

Therefore

22/Sin 66 = SH/Sin 53

Cross multiplying, it becomes

SHSin 66 = 22Sin 53

0.9135SH = 22 × 0.7986

0.9135SH = 17.5692

SH = 17.5692/0.9135

SH = 19.23 ft

7 0
4 years ago
There are 12 inches (in). in 1 foot (ft). which expression can be used to find the number of inches in 2.5 feet?
Ludmilka [50]
Given:
12 inches in 1 foot
number of inches in 2.5 feet

2.5 feet * 12 inches/1foot = 2.5 * 12 inches = 30 inches

1 foot + 1 foot + 0.5 foot = 2.5 feet
12 inches + 12 inches + 6 inches = 30 inches

12 inches : 1 foot = x : 2.5 feet
12 inches * 2.5 feet = x*1foot
30 inches * feet = x * foot
30 inches = x
3 0
3 years ago
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