Answer:
94
Step-by-step explanation:
The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion to find KY.

Cross multiply to solve for KY.
95.2(KY) = 168(34)
95.2KY = 5,712
KY = 60
Add KY to 34 to find x.
60 + 34 = 94.
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Foil it out:
(7x)(4x)+(7x)(9)+(-8)(4x)+(-8)(9)
28x^2+63x-32x-72
28x^2+31x-72
Lily has saved $ 7
<em><u>Solution:</u></em>
Given that bracelet costs $30
The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved
Cost of bracelet = $ 30
From given statement,
Cost of bracelet = 5 times the amount she has saved - 5
Let "x" be the amount saved by lily
Cost of bracelet = 5 times x - 5
Here "times" represents multiplication
30 = 5(x) - 5
30 = 5x - 5
30 + 5 = 5x
5x = 35
On dividing 35 by 5 we get 7
x = 7
Thus Lily saved $ 7
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.