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Answer:
Each circle (A, B, and C) contain shapes that all share at least one characteristic. Some shapes are contained in more than one circle because they share more than one characteristic. For example, shape 3 fits the rule for circles A and B, but not circle C. It lies within circles A and B, but not circle C.
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
13x+1 = 11x+9
13x-11x = 9-1
2x = 8
x = 4
Answer:
<P = 26 degrees
<N = 130 degrees
Step-by-step explanation:
The sum of angle of a triangle is 180, hence
<M + <N + <P = 180
If the Measure of angle N is five times the Measure of angle P, then;
<N = 5<P
<M = 24 degrees
Substotute into the formula
24 + 5<P + <P = 180
24 + 6<P = 180
6<P = 180-24
6<P = 156
<P = 156/6
<P = 26 degrees
Since <N = 5<P
<N = 5(26)
<N = 130 degrees
Hence the measure of <P is 26 degrees and that of <N is 130 degrees