The Length of FD = 26 cm
According to the given information
FE = FC = 12cm
As FE, FC both are radius of circle
The tangent segments to a circle from a external point are equal
Hence
CD = ED
13x - 16 = 4x + 11
13x - 4x = 11 + 16
9x = 27
x = 27/9
x = 3
CD = 13x - 16
= 13 × 3 - 16
= 23 cm
ED = 4x + 11
= 4 × 3 + 11
= 23 cm
In Triangle FED
FE is perpendicular to ED
According to Pythagoras Theorem
=
= 673
FD = 26 cm approx.
The Length of FD = 26 cm
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<u>Answer:</u>
A = 70
B = 90
<u>Step-by-step explanation:</u>
We know that Car A travels 20 mph faster than Car B.
Assuming the speed of Car B to be x and the speed of Car A to be x+20, we can write:
Taking the reciprocal of both sides to make x the subject:
---> speed of Car A
Finding the speed of Car B:
Therefore, the speed of Car A = 70 and the speed of Car B = 90.