Answer:
Proved
Step-by-step explanation:
Given: EC || AC, DB || AC, ∠A = ∠F
Prove: ΔMDF ∼ ΔNCA
Solution
See diagram attached to the solution to better understand the following workings.
Redrawing ΔMDF or rotating to be facing the same direction.
EC is parallel to AC
DB parallel to AC
Using similar triangle theorem:
If ΔMDF ∼ ΔNCA
Ratio of Corresponding sides would be equal
(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)
DF/ CA = MD/NC = FM/AN
∠A = ∠F
∠M = ∠N
∠D = ∠C
Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.
ΔMDF ∼ ΔNCA
Answer:
A) Three times x to the second power added to two times y which is added to a half.
B) Six times x plus two multiplied by y added to one by two
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Answer: Point-Form : (2,-1)
Equation Form : x=2, y=-1
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Hope this helps you out! ☺
Answer:
1520.53
Step-by-step explanation:
V = pi * r^2 * h
the radius is half of the diameter and 11/2 = 5.5
V = pi * 5.5^2 * 16
V = 1520.53
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Hope this helps! :) If so, please mark my answer as brainliest!
Answer:
762.08.
Step-by-step explanation:
952.60x0.20=190.52
952.60-190.52=762.08
