Using proportions, the lengths of the unknown sides are given as follows:
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the triangles are similar, hence the lengths of it's sides follow the proportion given next:
Applying cross multiplication:
2x(x - 3) = 20
2x² - 6x - 20 = 0
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0.
Then the positive solution is:
x - 5 = 0 -> x = 5.
And the lenghts are:
More can be learned about proportions at brainly.com/question/24372153
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Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
As angle CAB is a linear pair and is 109 degrees. We need to simply subtract it by 180. So 180-109=71. So angle CAE is 71 degrees.
Y = 3x - 7
6x - 2y = 12
6x - 2(3x-7) = 12
6x - 6x -7 = 12
-7 = 12
6x - 2y = 12
6x = 12 + 2y
x = 12/6 + 2y/6
x = 2 + y/3
y = 3x - 7
y = 3(2 + y/3) - 7
y = 6 + 3y/3 - 7
y = 6 + y - 7
y - y = 6-7
0 = -1
B.) THERE IS NO SOLUTION.
Answer:
I'm gonna say the third one, 5 units left and 1 unit up
Step-by-step explanation:
Subsitute -4y for x
-4y+6y=18
2y=18
divide both sides by 2
y=9
sub back
x=-4y
x=-4(9)
x=-36
(x,y)
(9,-36)
