7. Slope of AD = 4/16 = 1/4
8. ΔAEC = 3/12 = 1/4
.. ΔDFB = 2/8 = 1/4
9. The angles at E, G, and F are right angles. Lines CE and BF are parallel, so the alternate interior angles at B and C where the transversal AD crosses them are equal. The triangles of interest are similar by AA~.
10. See problem 7. The ratio is the same.
11. Hard to tell what rule they want you to state. Every axis-aligned right triangle with its hypotenuse on AD will have the same ratio of side lengths. (That's one of the features of the graph of a line. It has the same slope everywhere, measured over any distance.)
There is no solution to this
-10 + a = 6a - 7a
Rearrange the left hand side
a - 10 = 6a - 7a
Simplify 6a - 7a
a - 10 = -a
Add a on both sides
2a - 10 = 0
Add 10 on both sides
2a = 10
Divide by 2 on both sides
a = 5
Answer:
3(12-p)
Step-by-step explanation:
According to me D could be the right answer..but not sure about it