Let x be the degree of angle a.
Angle b: 20+3x
Angle c: 55+x
We know that all angles add up to 180 degrees.
180=x+(20+3x)+(55+x)
180= 5x+75
180-75=5x
105/5=x
21=x
Angle a: 21 degrees
Angle b: 20+3(21) => 83 degrees
Angle c: 21+55 => 76 degrees
Hope I helped :)
7+9=x+1
X=15. I think this is what you are asking not sure tho
X^n ×X^n=X^10
X^n+n=X^10
X^2n=X^10
2n=10
n=10÷2
n=5
I hope you understand
Use the Pythagorean theorem, tan is y/x so y = -3 and x= -2. Because cos is negative and R is always positive. You need to find R- which is the hypotenuse;
3^2 + 2^2 = r^2
9 + 4 = r^2
13 = r^2
√13 = r.
So you already have tan<span>θ,
cot</span><span>θ= 2/3
sin</span>θ= -3/√13 BUT
you have to rationalize, so you get -3 √13/ 13
cscθ= √13/ -3
cosθ= -2/ √13 BUT
you have to rationalize, so you get -2√13/ 13
secθ= √13/ -2
Evan does 33 more push-ups than Lucy
let x be the number of push-ups Lucy does , then
Evan does 4x - 9 push-ups
The total number of push-ups is 61
hence x + 4x - 9 = 61 has to be solved
that is 5x - 9 = 61
add 9 to both sides
5x = 61 + 9 = 70
divide both sides by 5
x =
= 14
Lucy does 14 push-ups and Evan does 4x - 9 =(4 × 14) - 9 = 47
Thus Evan does 47 - 14 = 33 more push-ups than Lucy