The value of x in the triangle is (d) 7
<h3>How to solve for x?</h3>
The complete question is in the attached image.
From the attached image of the triangle, we can see that the triangle is a right triangle, and x can be solved using the following sine function

Evaluate sin(45)

Solve for x

Divide
x = 7
Hence, the value of x in the triangle is (d) 7
Read more about special triangles at:
brainly.com/question/654982
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Answer:
B) 4.5
Step-by-step explanation:
The area of the first figure is 10x
The area of the second figure is 6(x+3)=6x+18
To solve, find the x that makes 10x=6x+18
1) 10x=6x+18
2) 4x=18
3) x=4.5
To check work)
1) 10(4.5)=6(4.5)+18
2) 45=27+18
3) 45=45
6 2/3 = 20/3 = 60/9
4 4/9 = 40/9
60/9 - 40/9 = 20/9 = 2 2/9
Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
Step-by-step explanation:
Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.
A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.
Also, the corresponding angles of similar triangles are congruent.
Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.