1. we can add them to eliminate y's
3x-4y=-16
<u>-x+4y=24 +</u>
2x+0y=8
2x=8
divide by 2
x=4
sub back
-x+4y=24
-4+4y=24
add 4 both sides
4y=28
divide by 4
y=7
(x,y)
(4,7)
3.
add them to eliminate y's
-5x+3y=12
<u>-2x-3y=-33 +</u>
-7x+0y=-21
-7x=-21
divide both sides by -7
x=3
sub back
-2x-3y=-33
-6-3y=-33
add 6 to both sides
-3y=-27
divide both sides by -3
y=9
(x,y)
(3,9)
1. (4,7)
3. (3,9)
Answer:
The answer in the procedure
Step-by-step explanation:
Part A)
we know that
The measures of interior angle in a triangle must be equal to 180 degrees
In the triangle AUL


-----> by supplementary angles


The sum of the two nonadjacent interior angles is equal to

therefore
m<4 is equal to the two nonadjacent interior angles
Part B)
----> see the Part A)
The formula for the area of a rhombus is s^2=A. Plug in and solve:
s^2=25
<em>*Take the square root of both sides*</em>
s=5
Hope this helps!!
Answer:
( 19/3, -1)
Step-by-step explanation:
3x + 4y = 15
3x + 4(-1) = 15
3x -4 = 15
3x= 19
x= 19/3
C) randomly assign each household a number and use a random generator to generate 25 numbers