Answer:
B
Step-by-step explanation:
So far, we know that:
∠D = ∠J.
And that:
DE:JK = 14:7 = 2:1
So, to prove that ΔDEF ~ ΔJKL by SAS, DF must be similar to JL, as those are the sides between the angle.
So:
DF:JL = 2:1.
Our answer is B.
Answer:
The length of the flagpole be 41.2 ft .
Option (A) is correct .
Step-by-step explanation:
As given
The angle looking up at the sun is 70°.
A flagpole casts a shadow of 15 ft .
Now by using the trignometric identity .
BC = 15 ft
tan 70° = 2.75 (Approx)
AB = 2.75 × 15
= 41.2 ft
Therefore the length of the flagpole be 41.2 ft .
Option (A) is correct .
Answer:
There was an 11% increase.
Step-by-step explanation:
The formula to find a percent increase is this: (original amount - new amount / original amount) * 100
If you fill in the formula, you get this:
(164,000 - 182,040 / 164,000) * 100
Solve:
(-18,040 / 164,000) * 100 ---> If the number being divided is negative, find the absolute value.
(18,040 / 164,000) * 100 =
0.11 * 100
11%
Answer:
<u>y = 6 x=8</u>
Step-by-step explanation:
(3х + 5y = 54)-2 times by -2
6х +4y = 72
-6х + -10y = -108 now combine the equations
6х + 4y = 72
-6y = -36 now divide
y = 6
Plug 6 in 6х +4 * 6 = 72
x=8
