Answer:
64 degrees
Step-by-step explanation:
Since the triangles are similar they have the same angle measures
∠P = ∠S ∠R =∠U ∠Q=∠T
We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U
In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula
subtract 116 from both sides
Therefore ∠Q is equal to 64 degrees
Given:
Amount spent on 2 DVDs = $41.75
Sales tax = $3.15
Coupon = $1.00 off
To find:
The cost of each DVD.
Solution:
Let x be the cost of each DVD.
Then, cost of two DVDs = 2x
Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount
Divide both sides by 2.
Therefore, the cost of each DVD is $19.8.
The length of the shadow is 124.7 in
<u>Explanation:</u>
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Given:
Angle, θ = 30°
Height of the fence, h = 72 in
Length of the shadow, l = ?
Given:
tan 30° =
Therefore, the length of the shadow is 124.7 in