12x=4(x-5)
distributive property to get rid of parenthesis 12x=4x-20
subtract x from one side to get the variable on one side 8x=-20
divide 8 by -20
x=-2.5
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:
23
Step-by-step explanation:
With f(4), we plug 4 into the function.
f(4) = 4² + 7
f(4) = 16 + 7
f(4) = 23
A) 2x-7=13
2x=20
x=10
B) 3x+4=25
3x=21
x=7