Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
Answer:
70 degrees
Step-by-step explanation:
In the parallelogram KLMN, the sum of the adjacent angle is 180 degrees
Hence;
m<K + m<L = 180
110 + m<L = 180
m<L = 180-110
m<L = 70degrees
Hence the measure of m<l is 70 degrees
P(x)9(%) in fog gve VRV hobby to see what the name of the
10x = -80
Note the equal sign. What you do to one side, you do to the other.
Divide 10 from both sides
10x/10 = -80/10
x = -80/10
x = -8
-8 is your answer for x
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