Answer:
AB = JK = 49
Step-by-step explanation:
Since ABC = JKL
We know the length of AB has to equal the length of JK.
AB = JK
14x+7 = 5x+34
Subtract 5x from each side.
14x-5x +7 = 5x-5x+34
9x+7 = 34
Subtract 7 from each side
9x+7-7 = 34 -7
9x = 27
Divide each side by 9.
9x/9 = 27/9
x =3
AB = 14x+7
Substitute x=3
14(3) +7
42+7
AB = 49
Answers:
<u>Reduce:</u>
Here we gave to simplify the expressions:
9) 
Grouping similar terms:

Applying common factor
in the first parenthesis and common factor
in the second parenthesis:
This is the answer
11) 
Rearranging the terms:

Applying common factor
in the first parenthesis and common factor
in the second parenthesis:
This is the answer
<u>Multiply:</u>
19) 
Multiplying both fractions:

Dividing numerator and denominator by 3 and simplifying:
This is the answer
21) 

Operating with cross product:


Grouping similar terms and factoring:
This is the answer
<u>Divide:</u>
29) 

Simplifying:
This is the answer
33) 

Factoring numerator and denominator:

Simplifying:
This is the answer
37) 

Applying the distributive property in numerator and denominator:

Grouping similar terms and factoring by common factor:

Dividing by
in numerator and denominator and simplifying:
This is the answer
Answer:
(f - g)(3) = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x - 2
g(x) = x + 1
<u>Step 2: Find</u>
<em>Find (f - g)(x)</em>
- Substitute: (f - g)(x) = 4x - 2 - (x + 1)
- Distribute -1: (f - g)(x) = 4x - 2 - x - 1
- Combine like terms: (f - g)(x) = 3x - 3
<em>Find (f - g)(3)</em>
- Substitute: (f - g)(3) = 3(3) - 3
- Multiply: (f - g)(3) = 9 - 3
- Subtract: (f - g)(3) = 6
Answer:
$2.25
Step-by-step explanation:
10*0.10= $1.00
5*0.25= $1.25
1+1.25= $2.25
Answer:
Option C is correct.
Step-by-step explanation:
We need to find the pattern as the exponent decreases.
the first value in the table is 125.
if we divide 125 by 5 i.e 125/5 we get 25
the next value in the table is 25
if we divide 25 by 5 i.e 25/5 we get 5
the next value in the table is 5
if we divide 5 by 5 i.e 5/5 we get 1
the next value in the table is 1
if we divide 1 by 5 i.e 1/5 we get 1/5
the next value in the table is 1/5
if we divide 1/5 by 5 i.e 1/5*5 we get 1/25
the next value in the table is 1/25
So, the pattern is if we divide the previous value by 5 we get the next value in the table.
So, Option C is correct.