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:
a
Step-by-step explanation:
simplify 5(x+3) = 5x+15
You can round 976 to 1000 and 522 to 500. So it would be
1000 - 500 = 500. The answer you would get after subtracting 976-522 would be more than 400 if you round it.
C=4 this is as long as you distribute the terms
An exterior angle is an angle supplementary to one of the interior angles.
In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
Option D is the correct one!
