Answer:
y = -18
Step-by-step explanation:
Given that,
y+29 =11
We need to find the value of y.
Subtract 29 to both sides of the above equation.
y+29-29 =11-29
y = -18
So, the value of y is equal to -18.
Complimentary angles add up to 90 degrees
2x + 4x = 90
6x = 90
x = 90/6
x = 15 <==
Assign variables to the groups. "S" stands for senior citizens and "C" stands for children.
3S + 9C = 75
8S + 5C = 67
We must cancel one of these variables out; I did this by multiplying the top equation by 8 and the bottom equation by 3.
24S + 72C = 600
24S + 15C = 201
Subtract these two expressions and you get C = 7. Plug 7 in for C into any of the above expressions and solve for S. You will find that S = 4.
3/4+2/5 is 1 and 3/20 because first, you have to find the common denominator, which is 29. Next you have to multiply the numerator by the number that you multiplied the denominator by. You will then get 15/20+8/20. Next you add 15+8, which is 23. Then you get 23/30, which you then simplify to 1 and 3/20.
Answer:
Step-by-step explanation:
Triangle VWX is a right angle triangle.
From the given right angle triangle,
VX represents the hypotenuse of the right angle triangle.
With m∠X as the reference angle,
WX represents the adjacent side of the right angle triangle.
VW represents the opposite side of the right angle triangle.
To determine m∠X, we would apply
the tangent trigonometric ratio. It is expressed as
Tan θ = opposite side/adjacent side. Therefore,
Tan X = 2/1 = 1
m∠X = Tan^-1(1)
m∠X = 45°