They are vertical angles. They are congruent.
(2x+2)= (3x-52)
Add 52 to the other side.
2x+54=3x
Subtract 2x on both sides.
54=x
I hope this helps!
~kaikers
Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
9514 1404 393
Answer:
- surface area: 456 cm²
- volume: 408 cm³
Step-by-step explanation:
The surface area of the figure is the total of the areas of the two triangular bases and the three rectangular faces.
SA = 2(1/2)(8 cm)(6 cm) + (17 cm)(6 cm + 8 cm + 10 cm)
= 48 cm² + 408 cm²
SA = 456 cm²
__
The volume is the product of the area of the triangular base and the length of the prism.
V = (1/2)(8 cm)(6 cm)×(17 cm) = (24 cm²)(17 cm)
V = 408 cm³
Answer: 7.5 batches
Step-by-step explanation:
60/6 is 10, so she needs to make 10 batches in total.
10-2.5=7.5
