Answer:
x = - 7
Step-by-step explanation:
- 3x + 7 = 28
- 3x + 7 - 7 = 28 - 7
- 3x = 21
- 3x/3 = 21/3
- x = 7
x = - 7
Answer:

Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces

step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height

step 3
Find the area of the base of the rectangular prism

step 4
Find the surface area

Answer:
$4.34
Step-by-step explanation:
Given the information:
- The original price: $5
- Discount : 20%
- Tax: 8.5%
We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:
= the original price (100% - discount rate)
= 5(100% -20%)
= $4
- The tax amount she need to pay is:
= The actual price*tax rate
= $4*8.5%
= $0.34
=> the total cost of the bunch of balloons :
The actual price + tax price
= $4 + $0.34
= $4.34
Hope it will find you well.
Answer:
Step-by-step explanation:
Given
See attachment for figure


Required
The scale factor (k)
Since point C is the center of dilation, the scale factor (k) is calculated using:

So, we have:


