Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }

Cross multiply
EF * 15 = 27 * 7.5

EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles


AC = 37.5 cm
Answer:
6.2y - 3.7
Step-by-step explanation:
−y+5.3+7.2y−9
Subtract 9 from 5.3 to get −3.7.
−y−3.7+7.2y
Combine −y and 7.2y to get 6.2y.
6.2y−3.7
Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
<u>Given the following data;</u>
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining

Answer:
Distributive
Step-by-step explanation:
In any problem with a form of A(b+c) you are distributing the A to both b and c
As you can see in your example, you are distributing the 7 to both the 8 and the two
If you were to solve this problem the final answer would be 70
The property is Distributive