Step-by-step explanation:
4x + 12° = 64° ( vertically opposite angle )
4x = 64° - 12°
4x = 52°
x = 52° / 4
x = 13°
hence the value of x is 13°
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
;
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
Answer:
3/1
Step-by-step explanation:
you need to count the hight of the line from the (0,2) which will be 3 and then how much of the distance of x is. I used rise over run.
The angle diagonal to 103° is equal to 103°. So here's your equation:
(103+14x+7)°=180°
So now you can simplify:
110°+14x=180°
now subtract 110 on both sides
14x=70°
now divide by 14 on both sides
so the answer is x=5°
hope this helps
Perpendicular, slope is reciprocal and opposite
so answer is C. -7