Answer: The area of rectangle WXYZ is 18 square inches
Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as
Ratio = 10/5
Ratio = 2/1 (or 2:1)
However rectangle ABCD has its area as 70 square inches, which means the other side is given as
Area = L x W
70 = 10 x W
70/10 = W
7 = W
Therefore the width of the other rectangle is determined as,
10/5 = 7/W
10W = 5 x 7
10W = 35
Divide both sides of the equation by 10
W = 3.5
Having calculated the width of the other rectangle as 3.5, the area is now determined as
Area = L x W
Area = 5 x 3
Area = 17.5
Rounded off to the nearest integer, the area equals 18 square inches
Answer:
Step-by-step explanation:
y can be found using the Law of sines as explained below:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Thus,
Multiply both sides by 0.961 to solve for y
(to the nearest tenth)
<u> 12x³ - 12x </u><u /> = 3/7 - 1/56x² - 3/7 = 3/7 - 3/7 - 1/56x² = -1/56x²
28x³ - 56x² + 28x
The two complementary angles are:
95° and 15°
Step-by-step explanation:
Let x be one angle
then the other angle will be 90-x
As the sum of complementary angles is 90
So,
then according to statement
The two complementary angles are:
95° and 15°
Keywords: Angles, triangles
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