The required simplified value of x and y is 32 and 84 respectively.
Given that,
To find the values of x and y. State which theorem(s) you used.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Vertical opposite angles
3x = 5x - 64
2x = 64
x = 32
Now,
5x - 64 = 5*32 - 64
= 160 - 64
= 96°
Now complementary angle y
y = 180 - 96°
y = 84°
Thus, the required simplified value of x and y is 32 and 84 respectively.
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Answer:
No, she did not multiply the negative integer tiles by the other negative integer tiles correctly.
Step-by-step explanation:
Answer:The area of the reduced backyard is 112.5 square feet
Step-by-step explanation:
The initial length of the backyard is 40.5 feet long.
The initial width of the backyard is 25 feet wide.
In order to install a pool, the yard needs to be reduced by a scale of 1/3. This means that the new length of the backyard is would be
40.5 × 1/3 = 40.5/3 feet lonng
The new width of the backyard would be
25 × 1/3 = 25/3 feet wide
The backyard is rectangular in shape. Area of a rectangle is length × width. The area of the reduced backyard becomes
40.5/3 × 25/3 = 1012.5/9 = 112.5 square feet
One hundred and three million, seven hundred and twenty-seven thousand, four hundred and ninety five.
