Answer:
x = 34
Step-by-step explanation:
This is a right angle. This means that the square to the bottom right is 90 degrees. There is also an angle that is 124, but that is a linear pair to the angle on the inside. This means that 124+__=180 degrees
180-124= 56
So now we know 2 angles, which are 90 degrees and 56 degrees. Because we know that the sum of the angles of a triangle equal 180 degrees, we can subtract 90 and 56 from 180 to get our answer, 34.
Answer:
x < 4
OR
x > - 2.25
= 4 > x > - 2.25
Step-by-step explanation:
5x - 19 < 1
5x < 1 + 19
5x < 20
x < 20/5
x < 4
OR
- 4x + 3 < - 6
- 4x < - 6 - 3
- 4x < - 9
x > 9/- 4
x > - 2.25
Answer:
She need <u>96 square feet</u> carpet to cover the room.
Step-by-step explanation:
Given:
Tina covers the floor of a room with carpeting. She uses carpet squares that measure one foot on each side.
Now, to find carpet squares does she need to cover a room that 8 feet wide by 12 feet long.
So, the dimensions of room are:
Length = 12 feet.
Width = 8 feet.
Now, getting the area by putting formula:
<u><em>Area of room = Length × width</em></u>


Therefore, she need 96 square feet carpet to cover the room.
Answer:
a=1
Step-by-step explanation:
Multiply all terms by a and cancel:
6+−6a=3+−3a
−6a+6=−3a+3(Simplify both sides of the equation)
−6a+6+3a=−3a+3+3a(Add 3a to both sides)
−3a+6=3
−3a+6−6=3−6(Subtract 6 from both sides)
−3a=−3
−3a
−3
=
−3
−3
(Divide both sides by -3)
a=1
Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture: