Answer:
x = 8
Step-by-step explanation:
The angle above the 6x-8 = 180 -140 = 40
The angle on the opposite side is 40 degrees as well because they are vertical angles
6x-8 = 40 degrees
Add 8 to each side
6x= 48
Divide by 6
6x/6 = 48/6
x = 8
Answer:
b = 43
Step-by-step explanation:
So let's plug things in first:
y= 2x - 20 and y= -5x +b which can become →
2x - 20 = -5x + b (now you said that x=9 so let's plug that in)
2(9) -20 = -5(9) + b (now try solving that)
18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)
43 = b ( and there's your answer )
L + 3 = 2w.
48 + 6 = 54.
54 divided by 6 = 9.
The width is 9 and the length is 16. Hope it helps!
Answer:
The surface area of the larger prism is 4 times the surface area of the smaller one.
(which agrees with answer B in your list)
Step-by-step explanation:
Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H
Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:
B x H to --> 2 B x 2 H = 4 (B x H)
that is 4 times the original lateral face's area.
with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.
When doing this equation, draw a big X on your paper. At the top of the x you do A times C. At the bottom, you put the B. To factor, you need to find what two numbers MULTIPLY together to equal the A times C, and that add together to get the B.
In all you will get (q+7) (q-6)