Answer:
45
Step-by-step explanation:
You already solved that the 2 angles of the triangle are 55° and since all of the angles are on a straight line, they add up to 180°
and the equation becomes...
3x-10+55=180
3x+45=180
Subtract 45 from both sides
3x=135
Divide by 3
x= 45
Then to double check you plug 45 as the value of x in.
3(45)-10+55=180
135-10+55=180
125+55=180
180=180
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Answer:
3
Step-by-step explanation:
In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.
So the slope is the 3 in front of the x value.
Answer:
I will assume that the end of the top section if it were cut at 0 degrees would be cut at right angles to the length of the section.
Joining a top section with a 37 degree end angle to a side piece with a 50 degree end angle will result in the length of the side piece being at an angle of
37 + 50 = 87 degrees to each other.
The same will be true for the other side.
If the sides were parallel, then going up one side, across the top and then down the other side will result in a change of direction of 180 degrees. However, in this frame the direction turns 87 degrees at the first top corner and another 87 degrees at the second top corner. This is a total of
87 + 87 = 174 degrees instead of 180 degrees.
The two sides diverge at an angle of
180 - 174 = 6 degrees from each other as they extend downwards from the top of the frame
Step-by-step explanation:
Answer:
Answer:x=
−3z−1
0
Step-by-step explanation:x=
Step 1: Add -2x to both sides.
2x+3z+4+−2x=2x+3+−2x
3z+4=3
Step 2: Add -3z to both sides.
3z+4+−3z=3+−3z
4=−3z+3
Step 3: Add -4 to both sides.
4+−4=−3z+3+−4
0=−3z−1
Step 4: Divide both sides by 0.
0
0
=
−3z−1
0
x=
−3z−1
0