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
The attached image represents the scenario
Using Pythagoras theorem (from the attachment), we have:
Take square roots of both sides
The information given about the proof does that Daniel made an error on line 2.
<h3>How to illustrate the information?</h3>
Given:
1. AB = 3x +2; BC = 4x + 8; AC = 38
2. AB + BC = AC incorrect (not an angle angle addition postulate)
3. 3x+2 + 4x + 8 = 38 correct
4. 7x + 10 = 38 correct
5. 7x = 28 correct
6. x = 4
Daniel made an error on line 2.
Here is the complete question:
Daniel wrote the following two-column proof for the given information. Given: AB = 3x + 2; BC = 4x + 8; AC = 38 Prove: x = 4 Statements Reason 1. AB = 3x + 2; BC = 4x + 8; AC = 38 1. Given 2. AB + BC = AC 2. Angle Addition Postulate 3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality 4. 7x + 10 = 38 4. Combining Like Terms 5. 7x = 28 5. Subtraction Property of Equality 6. x = 4 6. Division Property of Equality On which line, did Daniel make his error? line 2 line 3 line 4 line 5
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Answer:
A) 1/6
Step-by-step explanation:
Common Ration means you need to divide second term/first term, third term/2nd term
12/72 = 1/6
2/6 = 1/6
Therefore the common ratio is 1/6
Answer:
Step-by-step explanation:
Let the numbers be x,y, where x>y
The geometric mean is
The Arithmetic mean is
The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.
We can write the equation;
or
l
and
or
Make y the subject in equation 2
Put equation 3 in 1
When x=1, y=10-1=9
When x=9, y=10-9=1
Therefore x=9, and y=1
The ratio of the smaller number to the larger number is
