Answer:
Equation: 4x = 128
Step-by-step explanation:
(Linear pair angles)
- -> (x + 52)° + (3x)° = 180°
- -> 4x = 128 ( This is the required equation)
Answer:
the third one!
Step-by-step explanation:
Answer:
Step-by-step explanation:
They give us the slope so this makes it a lot easier.
Slope intercept formula is
y=mx+b
(m) is slope
(b) is y intercept
we can apply our slope into the formula
y=-3/2x+b
Now we can replace (y) with the (y) from the ordered pair they gave us (4, 10), and replace the (x) with the (x) from the ordered pair they gave us
(4, 10)
10=-3/2(4)+b
Now solve
10=-6+b
Add 6 to each side
16=b
Now we we put both our slope and intercept into the formula.
Answer:
Scale factor is 2.5
Value of X: 27.5
Value of y: 12
Value of z: 7.5
Step-by-step explanation:
Okay so. A scale factor is the number by which the shape is increasing, or decreasing by. Like if a square went from 5 cm on all sides to 10 cm on all sides, the scale factor would be 2. This shape has been rotated, so you want to rotate it back so the sides match up when you compare them. The only two sides with a number (without a variable) are 8 and 20, for 8 to be able to get to the number 20, it had to be multiplied by 2.5. To get all the other sides answers, you need to multiply any numbers by 2.5 if it the shape of the left, if it is the shape on the right you need to divide it by 2.5.
#18
The base area is 14 in ²
The volume is 30.8 in ³
For a prism of any cross-sectional area,
Volume = base area * height
=>
30.8 = 14 * height
Solve for height
Height = 30.8/14 = 2.2 inches.
Ans. Joseph has to make the box 2.2 inches high.
19. Hexagonal prism
Given
Cross section area = 17.01 m ²
Height = 16.2 m
Using above formula for volume,
Volume = 17.01 m ² * 16.2 m
=275.562 m ³
Answer: The volume of stone is 275. 56 m ³ approximately.
