Answer:
x = 6
Step-by-step explanation:
subtract 10 from both sides -> 4x = 24
divide by 4 to get x = 6
Answer:
Dilation.
Step-by-step explanation:
From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .
Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.
But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.
Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".
Take the common denominator and divide by 3
Let's solve this problem step-by-step.
Let's first establish the following formula:
Angle sum of a triangle = 180°
Also, note that the square shape in the top-right corner of the triangle indicates that it is a right-angle. This means that, that angle is equal to 90°.
Now, let's establish the equation we will be using to solve this problem based on the previous information as displayed below:
m + 38° + 90° = 180°
We will now simply solve the equation in order to obtain the value of ( m ) as display below:
m + 38° + 90° = 180°
m = 180 - 38 - 90
m = 52°
ANSWER:
Therefore, the answer is:
C. 52 degrees.
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