Answer:
Step-by-step explanation:
Comment
The angle supplementary to x and 3x are equal.
Supplementary angles = 180
Solution
x + 3x = 180
4x = 180 Divide by 4
4x/4 = 180/4
x = 45
The angle supplementary to x is 3x
3x = 3*45
3x = 135
This angle is vertically opposite y. Vertically opposite angles are equal. So y = 135
Answer
x = 45
y = 135
I only did the first part but maybe later I will solve the rest too. If there are any errors but tell me so I can update the pic.
Answer:
Hence he will be 4 large containers and 4 small containers
Step-by-step explanation:
Given data
Let the number of small containers be x
and the number of large containers be y
x+y= 8---------1
also
2x+4y= 24-----2
the system of equation to solve the problem is
x+y= 8
2x+4y= 24
from 1
x=8-y
put this in 2
2(8-y)+4y= 24
16-2y+4y= 24
2y= 24-16
2y= 8
y= 8/2
y= 4
put y= 4 in 1
x+4=8
x= 8-4
x= 4
Hence he will be 4 large containers and 4 small containers
Answer: the first option is the correct answer.
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine the tangent of angle A, we would apply the Tangent trigonometric ratio. It is expressed as
Tan θ, = opposite side/adjacent side. Therefore,
Tan A = 5/5√3 = 1/√3
Rationalizing the surd, it becomes
1/√3 × √3/√3
Tan A = √3/3
