Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<
30.50-14= 16.50
16.50 divided by 2.75= 6
The answer is 6
The worth of the car in 10 years is $1,831.67 using an exponential equation approach.
What is an exponential equation?
An exponential equation is the one with exponents such X^3(the 3 is the exponent)
The exponential equation required here is the one where the future value would be lower than current value because the car reduces in value year-in-year-out.
FV=PV*(1-r)^N
FV=future worth of the car
PV=today's value=$25,000
r=depreciation rate=-23%
N=number of years=10
The fact that r is negative means the car is depreciating not appreciating.
FV=$25,000*(1-23%)^10
FV=$1,831.67
Find further explanation on exponential equation below in the link:
brainly.com/question/11832081
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