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:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC = 
= 
= 18 units²
Area of ΔBDE = 
= 
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²
Answer:
40,45,95
Step-by-step explanation:
The sum of the angles of a triangle are 180
2x+10 + 3x + 8x-25 = 180
Combine like terms
13x - 15 = 180
Add 15 to each side
13x - 15+15 =180 +15
13x = 195
Divide by 13
13x/13 = 195/13
x =15
The angles are
2x+10 = 2(15)+10 = 30+10 = 40
3x = 3(15) = 45
8x-25 = 8(15) -25 = 120-25 = 95
The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.
<h3>What is a rectangle?</h3>
It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.
Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).
Then the area of the rectangle is given as
Area = l × w
Then we have
w(2w + 5) = 50
More about the rectangle link is given below.
brainly.com/question/10046743
