Answer:
since they are alternate exteriors, we put a equal sign
2x+78=5x+15
next we subtract 78 on both sides
2x+78-78=5x+15-78
2x=5x-63
then we subtract 5x on both sides
2x-5x=5x-5x-63
-3x=-63
after that we divide -3 on both sides
-3x/-3=-63/-3
and the answer is
x=21
Step-by-step explanation:
First one:
cos(A)=AC/AB=3/4.24
cos(B)=BC/AB=3/4.24
Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1
Second one:
To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).
If that's the case, AE is a transversal of parallel lines AB and DE.
And Angle A is congruent to angle E (alternate interior angles).
Therefore sin(A)=sin(E)=0.5
<u>Answer:</u>
<h2>
θ ≈ 81.37°</h2>
<u>Explanation:</u>
let the angle the ladder makes with the ground be θ
θ = cos⁻¹(3/20)
θ = cos⁻¹(0.15)
θ ≈ 81.37°
The anwser is along the lines of "there are 26 teams in the league, and if each team has 18 players then 26 times 18 is equal to 468 players in the league.
hope this helps and dont forget to hit that heart :)
Take the mixed number apart and have a whole number and a fraction
1+4 and 5/8 + 7/8
1+4=5
5/8 + 7/8 = 12/8
12/8 = 1 4/8
Add 5 to 1 4/8
5 + 1 4/8 = 6 4/8
1 5/8 + 4 7/8 = 6 4/8
In simplest term, the answer is also 6 1/2
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Another way to solve it is by turning both 1 5/8 and 4 7/8 into improper fractions.
1 5/8 = 13/8
4 7/8 = 39/8
Add them.
13/8 + 39/8 = 52/8
Turn 52/8 into a mixed number.
52/8 = 6 4/8
Simplify it to get 6 1/2.
