Answer:
B
Step-by-step explanation:
Answer:
A. 5x° + (2x + 7)° = 90°
Step-by-step explanation:
Complementary angles add up to give us 90°.
From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.
Therefore:
5x° + (2x + 7)° = 90°
The Pythagorean Theorem states that: "the sum of the squares of the legs is equal to the square of the hypotenuse."
a² + b² = c² or c² = a² + b²
Note¹: <span>Hypotenuse is the side opposite the right angle.
</span>Note²: The legs are the sides that are not opposite the right angle.
Examples: (<span>Use the attachments for better understanding:)
</span>
<span>*First example
</span>
![x^2 = 9^2 + 12^2](https://tex.z-dn.net/?f=x%5E2%20%3D%209%5E2%20%2B%2012%5E2)
![x^2 = 81 + 144](https://tex.z-dn.net/?f=x%5E2%20%3D%2081%20%2B%20144)
![x^2 = 225](https://tex.z-dn.net/?f=x%5E2%20%3D%20225)
![x = \sqrt{225}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B225%7D%20)
![\boxed{x = 15}\end{array}}\qquad\quad\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%2015%7D%5Cend%7Barray%7D%7D%5Cqquad%5Cquad%5Ccheckmark)
Second example:
![x^2 = 10^2 + 40^2](https://tex.z-dn.net/?f=x%5E2%20%3D%2010%5E2%20%2B%2040%5E2)
![x^2 = 100 + 1600](https://tex.z-dn.net/?f=x%5E2%20%3D%20100%20%2B%201600)
![x^2 = 1700](https://tex.z-dn.net/?f=x%5E2%20%3D%201700)
![x = \sqrt{1700}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B1700%7D%20)
Answer:
$82.65
Step-by-step explanation:
First, find the cost with the discount:
78.72(0.85)
= 66.91
Then, find the amount of the tip:
78.72(0.2)
= 15.74
Then, add together the cost and tip:
66.91 + 15.74
= 82.65
So, the total cost of the meal was $82.65
Answer:
24 slices of pizza were available to be eaten
Step-by-step explanation:
Here, we want to get the number of slices of pizza available to be eaten
From the question;
a slice is 1/6 of a pizza
So the number of slices in a full pizza would be 1 divided by 1/6 = 1* 6/1 = 6 slices
In each of the pizzas, there were 6 slices;
So the number of slices in 4 pizzas would be 6 * 4 = 24 slices
So, 24 slices of pizza were available to be eaten by the girls