-1/3 m = 5+7
-1/3m=12
m= -36
Area of backyard is not being used 7792 square feet.
Solution:
Length of the backyard = 181 ft
Width of the backyard = 48 ft
Area of the backyard = length × width
= 181 × 48
Area of the backyard = 8688 square feet
Base of the triangle = 16 ft
Height of the triangle = 28 ft
Area of the triangle = 

Area of the triangle = 224 square feet
Length of the rectangle = 32 ft
Width of the rectangle = 21 ft
Area of the rectangular vegetable garden = length × width
= 32 × 21
Area of the rectangular vegetable garden = 672 square feet
Area of backyard not used
= Area of backyard – Area of the triangle + Area of the rectangle
= 8688 – 224 – 672
= 7792 square feet
Area of backyard is not being used 7792 square feet.
Answer:
The measure of each angle remains the same after each transformation. The reason is because when you undergo a reflection, a rotation, or a translation, the triangle remains the same size and shape (congruent), therefore there is no change to the angles. The only thing changing is the position of the shape.
Step-by-step explanation:
The horizontal distance covered by pilot is 17,972.2 feet.
Step-by-step explanation:
Given,
Distance covered descending = 1000 feet
Diagonal distance = 18,000 feet
The horizontal distance will form a right triangle, therefore, we can find the horizontal distance by using pythagoras theorem.
Here,
a = 1000
b = horizontal distance
c = 18000

Taking square root on both sides

The horizontal distance covered by pilot is 17,972.2 feet.
Keywords: pyathoras theorem, square root
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