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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Answer: 12 cakes
Step-by-step explanation:
1) x = 5y - 30
2) x = - 1.6y + 3.3
<em>im assuming these are 2 different questions</em>
<h3>
Explanation:</h3><h3>1)</h3>
Start with the equation:
x - 5y= -30
add 5y to both sides:
x = 5y - 30
Your answer is x = 5y - 30
<h3>2)</h3>
Start with the equation:
3x+5y=10
subtract 5y from both sides:
3x = -5y + 10
divide by 3 to get x singular
x = - 1.6y + 3.3
Your answer is x = - 1.6y + 3.3
Hope this helps :)
Answer:
(1/2,4)
Step-by-step explanation:
First, determine y in first equation: 2x+y=5 or y=5-2x
replace value of y determined in first equation (5-2x) into 2nd equation
4x-3(5-2x)=-10
4x-15+6x=10
10x=5
x=1/2
put value of x into either equation to solve for y so
2(1/2)+y=5
1+y=5
y=4
answer: x=1/2, y=4
check answer by substituting x and y into either equation:
4x-3y=-10
4(1/2)-3(4)=-10
2-12=-10
-10=-10
or
2x+y=5
2(1/2)+4=5
1+4=5
5=5
Answer:
maximum 4 Mimimum I'm 0 or maximum 10 minimum 0
