Answer:
The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
x -----> the possible lengths of the third side
Applying the Inequality Theorem
1) 12+8 > x
20 > x
Rewrite
x < 20 in
2) 8+x > 12
x> 12-8
x > 4 in
therefore
4 in < x < 20 in
The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches
Answer:
1. 
2. 
Step-by-step explanation:
<u>Problem #1:</u>
1. Find the GCF (Greatest Common Factor)

2. Factor out the GCF and simplify.

3. Factor 
<u>Which two numbers add up to 7 and multiply to 10?</u>
2 and 5
<u>Rewrite the expression using the above.</u>

4. Done!

<u>Problem #2:</u>
1. Find the GCF (Greatest Common Factor)

2. Factor out the GCF and simplify.

3. Use the perfect square formula. 


4. Done!

Answer: 5
List out the numbers from 1 to 50. Then go through that list and circle any numbers that have 9 in them. Those numbers are:
9, 19, 29, 39, 49
So there are 5 houses with 9s painted
Answer:

Step-by-step explanation:


The train Chug-a-Lug must be going 153.5 miles to match the same speed as Old Steamy so they can arrive at the station at the same time.