Answer:
The area of the trapezoid is 57.5 square inches
Step-by-step explanation:
we know that
The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD
see the attached figure to better understand the problem
step 1
The area of rectangle is given by the formula

we have
----> altitude

substitute

step 2
Find the area of the isosceles right triangle
The area of triangle is given by the formula

we have
---> because is an isosceles triangle
substitute

step 3
Adds the areas

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by
.
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.

So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
It is less than 324.21, because as you can see, all the numbers are equal until you get to the 0 & 1, and 1 is greater than 0
Answer:
a = 93°, b = 120°, c = 150°
Step-by-step explanation:
b + 36 = 78 × 2 => b + 36 = 156 => b = 120°
87 × 2 - b = the minor arc between a and 78
=> 174 - 120 = 54
54 + b + 36 + c = 360
=> 54 + 120 + 36 + c = 360
=> c = 150°
(c + 36) ÷ 2 = a
=> (150 + 36) ÷ 2 = a
=> a = 93°