Answer:
UX ≈ 4.5
△UVW = 49.5 ft²
Step-by-step explanation:
[] We can assume that UX is the midline of this triangle.
22 ft / 2 = 11 ft
XW and VX = 11 ft
[] Now that we have 2 sides of a right traingle, we can find the third.
a² + 11² = 12²
a² + 121 = 144
a² = 20
a = about 4.5, which is side UX
[] Since we have all three sides of the triangle, we can also solve for the total triangle's area. To solve for the area of a triangle, we do base times height divided by 2
22 * 4.5 = 99
99 / 2 = 49.5 ft²
Have a nice day!
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- Heather
Given
An algebraic expression is the difference between seven times a number and three times that number.
To find:
The algebraic expression.
Solution:
Let x be the unknown number.
Multiplication is used for times and subtraction is used for difference.
7 times of a number = 7x
3 times of that number = 3x
The difference between seven times a number and three times that number is


Therefore, the algebraic expression for the given statement is 7x-3x and its simplified form is 4x.
Answer:Since -2 can not equal 0, there is no solution. The lines are parallel. It is an inconsistent system.
Step-by-step explanation:
The first step in solving a system of equations by substitution is solving one of the equations for one of the variables
x - y = 0 Equation 1
x - y + y = 0 +y Add y to each side
x = y Simplify
After solving an equation for one of the variables, substitute that value into the other equation. In this problem, I can substitute y for x.
x - y - 2 = 0 Equation 2
y - y - 2 = 0 Substitute the value of x from equation 1
0 - 2 = 0 Inverse Property of addition
-2 = 0 Identity Property of addition
Answer:
If it is a rectangular prism (this formula only works with that 3d shape, the answer is 2016 cm²
Step-by-step explanation:
SA=2(hl+hw+lw)
SA=2(18×19+18×18+18×19)
Sa=2(342+324+342)
sa=2(1008)
sa=2016 cm²
Answer:

Step-by-step explanation:

basically we want to get rid of the √3 on the denominator
to do so we multiply it by itself so it is a perfect square
but whatever we do to the top we must do to the bottom so we multiply the numerator and denominator by √3

notes : √3 × √3 = √9 which is a perfect square that simplfies to 3