Answer:
3
Step-by-step explanation:
7 plus three is 10, adding -10 to that equals zero.
(10x - 65) degrees is equal to (9x - 49) degrees, therefore you can set them into an equation.
(10x - 65) = (9x - 49)
By subtracting 9x in both sides,
(10x - 9x) - 65 = (9x -9x) - 49
x - 65 = -49
By adding 65 in both sides,
x - 65 + 65= -49 + 65
x = 16
Next, to find the value of z, it’s important to know that the straight line has 180 degrees. Then you would substitute the x value you found into one of your equation and subtract it from 180.
10 (16) - 65 = 160 - 65 = 95
Now you know that (10x - 65) degrees is equal to 95 degrees,
180 - 95 = z = 85
Answer: x = 16
z = 85
Answer:
Diameter is equal to 38 cm.
Step-by-step explanation:
We know that the circumference equals πd (where d is the diameter).
If we round the value of π to 3.14 then we will get...
πd = 119.32
(3.14)d = 119.32
d = 119.32 / 3.14
d = 38 cm
Therefore the diameter is equal to 38 cm
The area of the circle is 314.16
The formula is a= pi times the radius squared
Answer:
Part 1) The scale factor is 
Part 2) The dimensions of the enlarged prism are
a.Length=(8)(2)=16 ft
b.Width=(2)(2)=4 ft
c.Height=(6)(2)=12 ft
Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}
Step-by-step explanation:
we now that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
Part 1)
Find the scale factor
we know that
If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to 
Part 2)
we know that
To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor
so
Length=(8)(2)=16 ft
Width=(2)(2)=4 ft
Height=(6)(2)=12 ft
Part 3) Find the surface area of the smaller rectangular prism
we know that
The surface area of the rectangular prism is equal to the area of its six rectangular faces
SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}