Answer:
7x -2y
Step-by-step explanation:
5x−4y+2(y+x)
Distribute
5x -4y +2y +2x
Combine like terms
5x +2x -4y +2y
7x -2y
Answer: Width = 5 inches
Concept:
Here, we need to know the idea of the perimeter.
A perimeter is a path that encompasses/surrounds/outlines a shape.
Perimeter of rectangle = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = 3w - 2
P = 36 inches
<u>Given formula</u>
P = 2 (w + l)
<u>Substitute the value into the formula</u>
36 = 2 (w + 3w - 2)
<u>Simplify values in the parentheses</u>
36 = 2 (4w -2)
<u>Divide 2 on both sides</u>
36 / 2 = 2 (4w - 2) / 2
18 = 4w - 2
<u>Add 2 on both sides</u>
18 + 2 = 4w - 2 + 2
20 = 4w
<u>Divide 4 on both sides</u>
20 / 4 = 4w / 4
w = 5
Hope this helps!! :)
Please let me know if you have any questions
Answer:

Step-by-step explanation:
Given

Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:

Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:


Having said that:
The expression can be further simplified as:

Substitute values for sin and cos
becomes

Answer:
78°
Step-by-step explanation:
The angular distance of an arc is twice the angle that forms it if that angle lies of the edge of the circle.
By this, Arc AK has angular distance 158°.
Arc JL = 202°.
Arc KL = 122°.
By subtracting these we get 80° for Arc JK.
Arc KA = 158°.
Arc AJ = KA - JK
AJ = 158-80
AJ = 78°