They are vertical angles and here’s why.
Vertical angles are a pair of opposite angles formed by intersecting lines.
Supplementary angles are two angles that equal 180 when added together.
Adjacent angles are two angles that have a common side and a common vertex.
Complementary angles are two angles that add up to 90 degrees.
Hope this helped!
Given:
2 walls - 14ft by 9ft
2 walls - 20ft by 9ft
Wall 1 & 2 = 14ft * 9ft = 126 ft² x 2 = 252 ft²
Wall 3 & 4 = 20ft * 9ft = 180 ft² x 2 = 360 ft²
Total area = 252 ft² + 360 ft² = 612 ft²
Cost of 1 single roll: $20
612 ft² ÷ 18 ft² = 34 rolls * $20 = $680
Cost of double roll: $40
612 ft² ÷ 54 ft² = 11.33 rolls ⇒ 12 double rolls
12 * $40 = $480
If Christopher opts for 1 single roll of wallpaper, he'll spend $680.
If he opts for double roll of wallpaper, he'll spend $480.
Double roll of wallpaper is the cheaper option. He'll save $200 if he'll buy the double roll of wallpaper.
Answer:
Step-by-step explanation:
Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
