Answer:
The third side must be smaller than 20 inches and greater than 4 inches

Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then

Use this rule in your case. So, if a=12 and b=8, then

Hence, you get

From these inequalities, you can state that

So, c must be smaller than 20 inches and greater than 4 inches.
No, you do not capitalize "is" after "!" unless you are forming a new and complete sentence.
Do not capitilize:
"Hello!" is okay to say.
Capitilize:
"Hello!" Is she okay, she has never greeted us before...
Answer:
x=10,−10
Step-by-step explanation:
one of those two
Answer:
16
Step-by-step explanation:
This problem requires PEMDAS
Parentheses ( )
Exponents ^
Multiplication
Division
Add
Subtract
Start by solving anything in parentheses. There's an exponent within the parentheses, so we change that 2^2 into 4 and also make sure to multiply 5 x 2 before subtracting.
-4 - (2 + -24 - 4 - (4-10))
-4 - (2 + -24 - 4 - (-6))
Again, solve parentheses first.
-4 - (-22 - 4 - (-6))
-4 - (-26 + 6)
-4 - (-20)
-4 + 20
Answer is 16
Answer:
$30,000 and $55,000
Step-by-step explanation:
If 4.5% loan is x, and the 6% loan is y, then:
x + y = 85000
0.045x + 0.06y = 4650
Solve the system of equations with substitution or elimination. Using substitution:
0.045x + 0.06(85000 − x) = 4650
0.045x + 5100 − 0.06x = 4650
450 = 0.015x
x = 30000
y = 55000