32% of 150 is 48
hope this helps
Answer:
The answer is below
Step-by-step explanation:
A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.
An object is congruent to another object if the object can be mapped to the other object when transformed.
Answer: A)
The first one because the x don’t repeat
Answer:
The length of the longest section x = 36 ft
Step-by-step explanation:
Total length of the wire = 51 ft
Let first section of wire = x
Second section of wire = y
Third section of wire = z
According to given data
x = 3 y & y = 4 z
Total length of the wire = x + y + z = 51
![y + 3 y + \frac{y}{4} = 51](https://tex.z-dn.net/?f=y%20%2B%203%20y%20%2B%20%5Cfrac%7By%7D%7B4%7D%20%3D%2051)
![\frac{17}{4} y = 51](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B4%7D%20y%20%3D%2051)
y = 12
x = 3 × 12 = 36
![z = \frac{y}{4} = \frac{12}{4} = 3](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7By%7D%7B4%7D%20%3D%20%5Cfrac%7B12%7D%7B4%7D%20%3D%203)
Therefore the length of the longest section x = 36 ft
Complete Question:
Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.
Write an equation using the Pythagorean Theorem to find the value of x.
How far are Ava's feet from the balloon?
Answer:
Ava's feet is 17ft away from the balloon
Step-by-step explanation:
Given
![height = 8ft](https://tex.z-dn.net/?f=height%20%3D%208ft)
![distance = 15ft](https://tex.z-dn.net/?f=distance%20%3D%2015ft)
The attached image represents the scenario
Using Pythagoras theorem (from the attachment), we have:
![x^2 = 8^2 + 15^2](https://tex.z-dn.net/?f=x%5E2%20%3D%208%5E2%20%2B%2015%5E2)
![x^2 = 64 + 225](https://tex.z-dn.net/?f=x%5E2%20%3D%2064%20%2B%20225)
![x^2 =289](https://tex.z-dn.net/?f=x%5E2%20%3D289)
Take square roots of both sides
![x = \sqrt{289](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B289)
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)