Answer: b = 17
Step-by-step explanation: The figure shows a triangle which upon closer observation is actually two triangles placed one inside the other. We have triangle QTR (the larger one) and triangle PTS (the smaller one).
The line PS is parallel to line QR, so in effect what we have here are two similar triangles. The ratios of similarity can be derived as
Line QT/line TR = line PT/line TS OR
Line QT/line QR = line PT/line PS.
With these ratios in mind we can now write the following expressions from the similar triangles;
QT = 2b + (2b - 17) and
TR = 16 + 8
TR = 24
Hence,
2b/16 = 2b + (2b - 17)/24
(That is, PT/TS = QT/TR)
2b/16 = (4b - 17)/24
By cross multiplication we now have,
2b(24) = 16(4b - 17)
By expanding the brackets we now have
48b = 64b - 272
By collecting like terms, 64b now moves to the left side of the equation and becomes negative
48b - 64b = -272
-16b = -272
Divide both sides of the equation by -16
b = 17
**Note** A negative number divided by another negative number yields a positive answer.
Answer:
lemon easy peasy lemon Squeezy
Step-by-step explanation:
my lucky charmer lucky charm and surreal is here 2 + 2 is for your mum was gonna work for phone no no no no no 4 + 4 is 8 disgusting
Answer:Congurant
Step-by-step explanation:
Answer:
Your answer is -4
Hope that this is helpful. Tap the crown button, Like & Follow me
Answer:
4°
Step-by-step explanation:
Since it is said that the angles are corresponding angles so we know that corresponding angles are equal then,
<1 = <2
3x - 7 ° = x - 1°
3x - x = 7° - 1°
2x = 8°
x = 8° / 2
Therefore x = 4°
Hope it will help you :)