Answer:
9
Step-by-step explanation:
Simplifying
2y + -6 = 12
Reorder the terms:
-6 + 2y = 12
Solving
-6 + 2y = 12
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 2y = 12 + 6
Combine like terms: -6 + 6 = 0
0 + 2y = 12 + 6
2y = 12 + 6
Combine like terms: 12 + 6 = 18
2y = 18
Divide each side by '2'.
y = 9
Simplifying
y = 9
Answer:1c . 3a . 4b . 5d . 2e
Step-by-step explanation:sorry if wrong not super good
4/5 divided by 1/8
= 4/5 x 8/1
32/5
= 6.4 cupcakes or 6 cupcakes if they’re looking for a whole number
Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
The volume becomes 1/3 of the original. With a rectangular base, volume of a pyramid is V=(length*width*height)/3. Cutting the height to 1/3 of the original length will make the total volume 1/3 of the original volume.
