Answer:
length = 13 ft
Width = 3 ft
Step-by-step explanation:
Width = w ft
Length = ( w +10 ) ft
Area = 39 square ft
length * width = 39
(w +10)* w = 39
w *w + 10*w = 39
w² + 10w - 39 = 0
w² + 13w - 3w - 3*13 = 0
w(w + 13) - 3(w + 13) = 0
(w + 13) (w - 3) = 0 {Ignore w + 13 , as measurement cannot be in negative}
w - 3 = 0
w = 3
length = 3 +10 = 13 ft
y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
Answer:71.1%
Step-by-step explanation:
32/45
32÷45=0.71111111111.............
0.711111111.......×100=71.1111111111.......
Round off to the nearest tenths of %
71.1111111111111........=71.1%
Answer =71.1%
Answer:
D*1.2 (OR) 1.2D
Step-by-step explanation:
Because the new menu has one hundred percent of the original menu (D), plus twenty percent, the new menu is 120%, or 1.2
You can then multiply the number of items on the original menu (D), by the new menu's value, which is 1.2 (or 120%).
This brings you to the answer of 1.2D
