Given
R is the interior of ∠ TUV.
m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.
Find the value of x and the m ∠TUV.
To proof
As given in the question
m ∠TUV=3x+16, and m ∠TUR=x+10
thus
m∠ RUV = m∠ TUV - m∠ TUR
= 3x + 16 - x -10
= 2x + 6
As given
m ∠RUV=30°
compare both the values
we get
30 = 2x + 6
24 = 2x
12 = x
put this value in the m ∠TUV= 3x+16
m ∠TUV= 12× 3 +16
= 52°
Hence proved
Answer:
Yes, these triangles are congruent
∠E≅∠M
Step-by-step explanation:
Yes, these triangles are similar.
<em>Proof:</em>
Each side in LNM is times longer than the sides in GFE
According CPCTC (corresponding parts of congruent triangles are congruent), angle E is similar to angle M.
Hope this helps :)
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Answer:
C
Step-by-step explanation:
3/6 = 1/2
The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.
Option D is correct.
<h3>What is the slope of a graph?</h3>
The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).
From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.
Learn more about the slope of a graph here:
brainly.com/question/19376563
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