Answer:
perimeter = 6x + 15
Step-by-step explanation:
The perimeter of the triangle is the distance around the triangle.
We need to apply our ability to convert word problems in to mathematical expressions.
We were told that the bottom of the triangle is x units.
From the diagram perimeter 4x + 12 + x + 3 + x = 6x + 15
Four times the length of the bottom will be 4x .
12 more than 4 times the bottom will be 4x + 12.
Hence another side of the triangle is 4x + 12.
Finally we were told that the last side is 3 more than the bottom, that will be x + 3.
3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
1)

2)

each of other angles measures 82.5 degrees
3)

4)sorry I don't know the last one
Answer:I believe it's -5√41/41
Step-by-step explanation:
ANSWER

EXPLANATION
The given function is,

The parent function of this ceiling function is

When this function is shifted horizontally 3 units to the left, we obtain the transformed function,

The correct answer is option D.
See attachment.