The measure of the side SQ from the given diagram is 19/6
<h3>Similar shapes</h3>
Similar shapes are shapes that has equal length and equal side measures and angles.
From the given diagram, the measure of the sides TSis congruent to SP and the measure of MS is congruent to SQ.
Using the expression below to determine the value of x
MS/ST = SQ/SP
Given the following parameters
MS =30
ST = 10
SQ = 6x-1
SP = 3 - 2x
Substitute the given parameters into the formula to have:
30/10 = 6x-1/3-2x
Cross multiply
10(6x-1) = 30(3-2x)
Expand
60x - 10 = 90 - 60x
60x + 60x = 90 + 10
120x = 100
x = 10/12
x = 5/6
Determine the measure of SQ
SQ = 6x - 1
SQ = 5(5/6) - 1
SQ = 25/6 - 1
SQ = 19/6
Hence the measure of the side SQ from the given diagram is 19/6
Learn more on similar triangles here: brainly.com/question/4163594
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Since she makes $13 per hour, she would have to work 5 hours to make $65.
The first thing we must do for this case is to find the surface area of the rectangular prism.
We have then:
A = 2 * (l * h) + 2 * (h * w) + 2 * (w * l)
Where,
w: width
l: long
h: height
Substituting values we have:
A = 2 * (10 * 8) + 2 * (8 * 8) + 2 * (8 * 10)
A = 448 in ^ 2
Answer:
the least amount of wrapping paper needed to wrap the gift box answer is:
A = 448 in ^ 2
[ (3 · 7) - 6 ] · 5 = [ 21 - 6 ] · 5 = 15 · 5 = 75
The answer is 3/10
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