<span>Most likely 70% to 85% of the town belongs to the fitness center.</span>
ABCSolve for x
x + 30 + 2x - 4 + 4x = 180 All triangles have 180°. collect like terms.
7x + 26 = 180 subtract 26 to both sides.
7x = 154 Divide by 7
x = 154/7
x = 22
A = x + 30 = 22 + 30 = 52
B = 2x - 4 = 2(22) + 30 = 44 - 4 = 40
C = 4x = 4*22 = 88
Check<A + <B + <C = 180
<52 + <40 + <88 = 180°
180 = 180
It checks and we are done with this triangle.
A'B'C'
2x + 8 + x + 18 + 5x - 22 = 180 Collect the like terms.
8x + 4 = 180 Subtract 4 from both sides.
8x = 180 - 4
8x = 176 Divide by 8
x = 176 / 8
x = 22
A' = 2x + 8
A' = 2(22) + 8 = 44 + 8 = 52
B' = x + 18 = 22 + 18 = 40
C' = 5x - 22 = 5*22 - 22 = 110 - 22 = 88
ConclusionA = A'
B = B'
C = C'
All three angles of one triangle are equal to all three angles of the other. So by AA the two triangles are similar.
CommentNote: the dilation of 12 has nothing to do with this answer. If you were asked about similarity of sides then the 12 would be something to do with the problem.
Answer:
0.75 3/4, 0.30 3/10, 0.05 1/20
Step-by-step explanation:
25x3 is 75 but because its 75 cents its 0.75
and 3/4 means 0.75 (3 divided by 4 is 0.75)
10x3 is 30 but because its 30 cents its 0.30
and 3/10 means 0.30 (3 divided by 10 is 0.30)
1x5 is 5 and because its 5 cents its 0.05
and 1/20 means 0.05 (1 divided by 20 is 0.05)
