The value of x in the pairs of similar triangles are:
5. x = 5
6. x = 5
7. x = 3
8. x = 7
How to Find the Side Lengths of Similar Triangles?
If two triangles are similar, their corresponding side lengths have the same ratio, that is, they are proportional to each other.
5. CD/UV = DE/VE [corresponding sides are proportional]
Substitute
15x - 3/30 = 156/65
(15x - 3)65 = (30)(156)
975x - 195 = 4680
975x = 4680 + 195
975x = 4875
x = 5
6. CD/CQ = CE/CR [corresponding sides are proportional]
Substitute
99/54 = 77/9x - 3
99(9x - 3) = (77)(54)
891x - 297 = 4158
891x = 4455
x = 5
7. UV/AB = VW/BC [corresponding sides are proportional]
Substitute
20/8 = 8x + 1/10
8(8x + 1) = (20)(10)
64x + 8 = 200
64x = 200 - 8
64x = 192
x = 3
8. QR/QK = QS/QL [corresponding sides are proportional]
Substitute
70/2x = 65/13
(70)(13) = (2x)(65)
910 = 130x
910/130 = x
x = 7
Therefore, the value of x in the pairs of similar triangles are:
5. x = 5
6. x = 5
7. x = 3
8. x = 7
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