Givens
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DF = 8
FE = 2
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Find BF
By similar triangles
FC/FE = DF/FC
FC^2 = 8*2
FC = sqrt(16)
FC = 4
Find AC
Answer:
b = 5
Step-by-step explanation:
to get b, you see that is multiplied by 7. to get rid of the 7, you have to divide both sides by 7. this is because 7/7 = 1, so you would just have b. then, 35/7 equals 5, and it is on the other side of the equal sign, so you would have b = 5.
This creates a right triangle. One leg of the triangle is 25 feet and the other is 10 feet. To find the length of the ladder, we must use Pythagorean theorem.
a = 25
b = 10
c = ?
(25)^2 + (10)^2 = c^2. Square all the terms to the left of the equation and add them together.
725 = c^2. Take the square root of each side.
c = 26.93 feet.
The ladder needs to be 26.93 feet tall.
Given:
∠JEK + ∠DFH = 90°
Find:
relationship, if any, of ∠JEK to angles CFL, HFG, LFE
Solution:
We note that ∠DFG = 90° = ∠DFH + ∠HFG, so ∠JEK ≅∠HFG.
We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.
Evaluating the choices, we find
A) false. The angles are not complementary, they are equal.
B) false. The angles are not equal, they are complementary.
C) false. The angles are not supplementary, they are equal.
D) TRUE. The angles are equal.
The appropriate choice is ...
D) ∠JEK ≅∠CFL
Answer:
$658
Step-by-step explanation:
42 x 99 = 4,158
4,158 - 3,500 = 658
