For this question, we can assume that RS + ST = RT. So now, we just have to plug in the expressions for these lengths, and solve the equation.
(3x+1) + (2x-2) = 64
Because we are only dealing with one operation, the parentheses aren't necessary.
3x + 1 + 2x - 2 = 64
Next, we should combine like terms on the left side of the equation. We know that 3x + 2x = 5x, and that 1 - 2 = -1.
5x - 1 = 64
The goal of an equation is to get the variable alone. To do this, we have to get rid of the -1 on the left side of the equation. So, we are going to add 1 to both sides of the equation, to cancel out the -1 on the left side.
5x = 65
Finally, we are going to divide both sides by 5, as this is the inverse operation of multiplication, which is how the 5 and the x are connected.
x = 13
Therefore, the value of x is 13.
Tower one- 2145046422.09Tower two- 8947346861.26
Both together- 11092393283.4
Answer:
14. 4 + x - 2
15. 8k - 3k
16. 5 + 2y + 15
Step-by-step explanation:
14. "sum" means adding, "minus" means subtract
sum of four and x: 4 + x
minus two: 4 + x - 2
15. "product" means multiplying, "decreased by" means subtract, "times" means multiply
the product of k and 8: 8k
three times k: 3k
the product of k and 8 decreased by three times k: 8k - 3k
(Depending on what the question is asking, you may or may not need to simplify this to 5k (8k - 3k = 5k))
16. "more" means add, "plus" means add, "twice" means multiply by two
five: 5
plus twice y: 5 + 2y
fifteen more: 5 + 2y + 15
Answer:
Option C is correct.
Step-by-step explanation:
Given the dimension of the surfaces i.e length, width and height of podium. we have to calculate the surface area of the victory podium.
As Surface area of cuboid is 2(LW+WH+HL)
In the given figure, the upper cuboid has dimension
L=2.5 ft. , W=1.5 ft, H=1.5 ft


The upper face is occuring twice therefore it must be subtracted to find the area
Dimensions of lower podium are
L=7.5 ft. , W=1.5 ft, H=1.5 ft

Now, Surface area of podium included bottom is
19.5+49.5-3.75=65.25 square feet.
Hence, option C is correct.
Answer: OPTION A.
Step-by-step explanation:
By definition, a dilation can be an enlargement or a reduction of the shape.
An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.
When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.
It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.
Knowing this, we can say that the scale factor that will result in an enlargement is:
