Answer:
Option 1, 2 and 4
Step-by-step explanation:
3x-4y-8= 12
3x-4y= 12+8 (bring constants to 1 side)
3x-4y= 20 (simplify)
For a point to be a solution of the above equation, substitute the x and y coordinates into 3x-4y and see if it equals to 20.
Option 1: (0, -5)
3(0)-4(-5)= 20
This is correct
2) (4, -2)
3(4)-4(-2)=20
This is correct
3) (8,2)
3(8)-4(2)= 16
This is incorrect.
4) (-16, -17)
3(-16)-4(-17)= 20
This is correct.
5) (-1, -8)
3(-1)-4(-8)= 29
This is incorrect.
6) (-40, -34)
3(-40)-4(-34)= 16
This is incorrect.
Answer:
x = 15°
Step-by-step explanation:
165 and x are on a straight line which means they are supplementary.
Set up the equation and solve for x:
165 + x = 180
x = 180 - 165
x = 15
Answer:
A = 84
Step-by-step explanation:
To find the area of a trapezoid, use this equation:
a = top base
b = bottom base
h = height
Let's classify all the sides:
a = 4 ft
b = 10 ft
h = 12 ft
Now, let's plug all these into the equation:
Add what's in the numerator
Divide 14 by 2
A = 84 Multiply 7 by 12
So, the area of the trapezoid is 84 .
Hope this helps!!
Let the three sides be: x, %28x%2B2%29, %28x%2B4%29
then the perimeter:
p+=+x+%2B+%28x%2B2%29+%2B+%28x%2B4%29
p+=+3x+%2B+6
- the longest side is it is 22 units shorter than the perimeter, so you will have
%283x%2B6%29+-+%28x%2B4%29+=+22
3x+%2B+6+-+x+-+4+=+22
2x+%2B+2+=+22
2x+=+22+-+2
2x+=+20
x+=+10, ........the shortest side
then
10+%2B+4+=+14 units is the longest side
Answer:
corresponding angles- 4 and 8, 3 and 7, 1 and 5, 2 and 6
same side interior angles- 2 and 5, 3 and 8
alternate interior angles- 3 and 5, 2 and 8
alternate exterior angles- 1 and 7, 4 and 6
Step-by-step explanation: