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:
B ------- DE ≅ RS
it's B because DE and RS both contain the equal angles.
If it's just a vertical line, then it could be displayed as: x = 5.
A vertical line is not actually a function, and because of such, the entire line is just the value of the x value, as it will never have enough x value.
Answer:
JM is the diameter or 180°
MK = diameter - 21° = 159°
Step-by-step explanation:
Answer:
$8.27
Step-by-step explanation:
First we need to find the tip. We know it was 18% of the total. So...
x (the variable we need to find) 18%
__ = ___
10.08 (the total bill including tip) 100%
cross multiply
100x = 181.44
-------------------- (divide by 100 to get x by itself)
100
x = 1.81 (The 18% tip that was given)
So now we know how much the tip was, we subtract it from the bill
10.08 - 1.81 = $8.27