+122 The triangles are similar.
What is the value of x?
https://static.k12.com/nextgen_media/assets/1544620-IM2_141011_020901.jpg
The triangles are similar.
What is the value of x?
https://static.k12.com/nextgen_media/assets/1544628-IM2_141011_020906.jpg
What is ED?
https://static.k12.com/nextgen_media/assets/8103943-NG_GMT_DP024_319_002.jpg
Hunter designs two flags for his adventure club.
What is the length of the base, x, of the larger flag?
Enter your answer, as a decimal, in the box.
https://static.k12.com/nextgen_media/assets/8103945-NG_GMT_DP024_320_001.jpg
A hockey player passes a puck to his teammate by bouncing it off a wall. The angles formed when the puck hits the wall and bounces off are congruent. Some of the distances are shown.
What is the distance, x, from Player 1 to the wall?
Enter your answer, as a decimal, in the box. Round your answer to the nearest hundredth.
https://static.k12.com/nextgen_media/assets/8103948-NG_GMT_DP024_321_001.jpg
+9464 The triangles are similar:
What is the value of x ?
Notice that...
3 * 4 = 12
5 * 4 = 20
To make the bigger triangle, take each side of the smaller triangle and multiply it by 4 .
So...to find x , take the corresponding side on the smaller triangle and multiply it by 4 .
+9464 The triangles are similar.
What is the value of x ?
Like the last problem, notice...
7 * 4 = 28
24 * 4 = 96
each side of the bigger triangle = 4 * the corresponding side of the smaller triangle
25 * 4 = 6x + 28
100 = 6x + 28 Subtract 28 from both sides.
72 = 6x Divide both sides by 6 .
12 = x
+9464 
What is ED ?
m∠AEB = m∠DEC because they are vertical angles.
m∠EBA = m∠ECD because they are alternate interior angles.
Therefore △AEB ~ △DEC by AA similarity. And...
AB / CD = AE / ED
9 / 6 = (2x + 4) / (x + 4) Cross multiply.
9(x + 4) = 6(2x + 4)
9x + 36 = 12x + 24 Subtract 9x and 24 from both sides.
36 - 24 = 12x - 9x
12 = 3x Divide both sides by 3 .
4 = x
And... ED = x + 4 = 4 + 4 = 8
+9464 Hunter designs two flags for his adventure club. What is the length of the base, x, of the larger flag?
These two triangles are similar by AA similarity, so...
5/4 = x/5 Multiply both sides of the equation by 5 .
25/4 = x
6.25 = x
+9464 A hockey player passes a puck to his teammate by bouncing it off a wall. The angles formed when the puck hits the wall and bounces off are congruent. Some of the distances are shown. What is the distance, x, from Player 1 to the wall?
These two triangles are similar by AA similarity.
12 / 9 = x / 8 Multiply both sides by 8 .
96 / 9 = x
10.67 ≈ x
