Answer:
the ramp's vertical distance is <u>60</u>
Step-by-step explanation:
Think about what a ramp looks like from the side (right triangle). Use the Pythagorean Theorem.
The wheelchair ramp (hypotenuse) is given to be 109, if one of the sides is 91, simply plug in the numbers and solve for the other side.
Hope this helps!
Answer:
The probability of drawing a purple marble is 3/10
Easy
make denomenators the same
Step 1
multiply both sidesby (x)(c)(b+c)
(a)(c)(b+c)+(b)(x)(b+c)=(a)(x)(c)
Step 2
distribute
acb+ac²+xb²+bxc=axc
Step 3
minus (acb+ac²) from both sides
xb²+bxc=axc-acb-ac²
Step 4
minus axc from both sides
xb²+bxc-axc=-acb-ac²
Step 5
undistribute x
x(b²+bc-ac)=-acb-ac²
Step 6
divide both sides by (b²+bc-ac)
Answer:
B
Step-by-step explanation:
12x3<u>></u> 35
Answer:
The value of x is 14
The length of each diagonal is 24 units
Step-by-step explanation:
Let us revise the properties of the rectangle
- Each two opposite sides are parallel and equal
- Its four vertices are right angles
- Its diagonals equal each other and bisect each other
In rectangle TUVW
∵ TV and UW are its diagonals
∴ TV = UW
∵ TV = 2x - 4
∵ UW = x + 10
- Equate them to find x
∴ 2x - 4 = x + 10
- Subtract x from both sides
∴ x - 4 = 10
- Add 4 to both sides
∴ x = 14
The value of x is 14
Substitute the value of x in the expression of TV <em>OR</em> UW to find the length of each diagonal
∵ TV = 2(14) - 4
∴ TV = 28 - 4
∴ TV = 24 units
The length of each diagonal is 24 units
