Answer:
Y = 26
W = 73
X = 81
Step-by-step explanation:
∠W = 3∠Y - 5
∠X = ∠W + 8 = 3∠Y - 5 + 8 = 3∠Y + 3
∠Y + ∠W + ∠X = 180
substitute in the formula
Y + (3Y - 5) + (3Y + 3) = 180
7Y -2 = 180
7Y = 182
Y = 26
W = 3(26) - 5 = 73
X = 73 + 8 = 81
In the above word problem, If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles, Quarter 8-inch tiles will cover the same area as one 2-inches.
<h3>What is the justification for the above?</h3>
Note that the area of the one 2-inch tiles is given as:
A1 = 4in²
The area of the quarter 8-inch tiles is:
A2 = 1/4 x 8 x 8
A2 = 16inch²
Divide both areas
A2/A1= 16/4
= 4
This implies she'll need four 2-inch tiles to cover the same amount of space as a quarter 8-inch tile.
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Full Question:
A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4 inches, and 2 inches. State if you agree with each statement about the tiles. Explain your reasoning.
If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles,
Complementary angles - the sum of two angles equals 90 degrees
Exterior angle theorem- the sum of the remote interior angles of a triangle equals the outside angle
Isosceles triangle- has two equal sides and two equal angles
Supplementary angle- the sum of two angles equals 180 degrees
Triangle sum theorem- the sum of of interior angles equal 180
Vertical angles- congruent angles that are opposite of each other.
Answer:
6.25
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
divide by 10
