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.
So for example 4/2 is a improper fraction. First think how many times can two go into 4 and that is 2 so the answer is two. Let's try 7/4. 4 can go into 7 one time but there is some reminders so u take the remainder and use it as the numerator. Then u keep the same denominator and so the answer is 1 3/4
The best i got is 6units
Hope this helpsssss, gl tho :)
Answer:
224 im pretty sure
Step-by-step explanation:
area of a triangle= base x height / 2
if we plug the values from the problem into the equation, we get 8 x 10 / 2 which simplifies into 80 / 2, which is 40. because this is a square pyramid, we know it has 4 triangles, so we multiply 40 by 4, which is 160. now, we find the area of the square, which can be found with the equation length x width. since all sides of square are equal, the equation becomes 8 x 8, which is 64. finally, we add the area of the triangles to that of the square, and we get 224. hope this helps!
Answer:
The correct answer is the tor mar nada tor buda tor buni ami chai