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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2.4 because 4.8/2 is 2.4. 14.4/4 is also 2.4. Constant of variation is the unit rate
Answer:
Step-by-step explanation:
Answer:
440 miles
Step-by-step explanation:
First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.
Hope this helps! :)
