Answer:
Since there is 10% off of the price, the new cost is 90% of the original. So we just multiply the price by 0.9
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
The area of any circle is equal to

, where r is the radius.
We know that the diameter is 12. The radius is always half of the diameter, so the radius of our circle must be 6.
Substitute 6 for r in our equation and simplify.
π6² = π6×6 =
36π in²
Answer:
1. 8.5 x 10^8
2. 93/10000 - 4 x 10^12
3. 9.95 x 10^12
Step-by-step explanation:
Answer:
28 = x
Step-by-step explanation:
62 = angle BAC since they are vertical angles
angle ABC is a right angle since KL is perpendicular to FG
Adding the angles in triangle ABC
BAC + ABC + BCA = 180
62 + 90 + BCA = 180
152 + BCA = 180
BCA = 180-152
BCA = 28
BCA = x since they are vertical angles
28 = x