Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem. The sink hole is 52.2 ft and the Perimeter of ABC is 172.2 ft
<h3>What are
congruent triangles?</h3>
Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.
In the image shown:
AC = CE, BC = ED and they have the same angle (opposite angles are congruent).
Hence:
Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem.
AB = DE = 52.2 ft
Perimeter of ABC = AB + BC + AC = 50 + 70 + 52.2 = 172.2 ft
Find out more on congruent triangles at: brainly.com/question/2938476
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Step-by-step explanation:
By rotating a figure,
The length of its sides remain the same.
Therefore line AB = line A'B'.
=> 5x - 14 = 4x + 4
=> x = 18
Hence, line AB = 5(18) - 14 = 76.
Based on the shaded region, the value of x which makes this region a gnomon is x = 1.
<h3>What is value of x?</h3>
Based on the dimensions of the side that isn't shaded, and the dimensions of the side that is shaded, the value of x can be found as:
3/ 6 = (1 + 3) / (x + 6 + x)
1/2 = 4 / (6 + 2x)
6 + 2x = 4 / (1/2)
2x = 8 - 6
x = 2/2
x = 1
Find out more on shaded regions at brainly.com/question/9767762.
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Answer:
i think that is 4
Step-by-step explanation:
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