Answer:
No, the height cannot be 25 feet because the resulting area is inconsistent with the information given.
Step-by-step explanation:
Given that the base of the first floor is 75 feet, we can answer this question in two different ways:
1) Solve for Area using the given height and compare the results to that of the question.
Using the formula for Area:
<em> A = b x h,</em>
<em>A = (75) x (25) = </em><em>1875 </em>
Because the given height results in an area of 1875 feet, and not 1575 feet, the base of this parallelogram cannot be 25 feet.
2) Solve for Height using the given base and Area
Using the formula for Height:
<em>h = A / b,</em>
<em>h = (1575) / (75) = </em><em>21</em><em> ft</em>
The base of this parallelogram could not be 25 feet because when solving for height using the given base and area, the resulting measurement is 21 feet.
Multiply the first 3 prime numbers that are 2 3 and 5 so the answer would be 30
1. An expression that will represent the amount of money that Ms. Thomas will spend is <u>p + 45n - c.</u>
2. The amount of money that Ms. Thomas will spend on the comedy tickets for herself and her 2 friends is <u>$155</u>.
<h3>What is a mathematical expression?</h3>
A mathematical expression is a statement that involves two or more variables that require some mathematical operations.
Most commonly, a mathematical expression contains numbers, variables, and operators, which show a value after the mathematical operations.
<h3>Data and Calculations:</h3>
Parking fee = $35
Ticket fee per person = $45
The number of people on the show = 3 (Ms. Thomas and her two friends)
Coupon = $15
Amount of money spent = p + 45n - c
where p = parking fee, n = number of visitors, and c = coupon received.
= 35 + 45 x 3 - 15
= $155
Learn more about mathematical expressions at brainly.com/question/1852123
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Answer:
Step-by-step explanation:
(3x + 2) + (x - 4) = 90
4x - 2 = 90
4x = 92
x = 23
m∠A = (3(23) + 2) = 71°
