Answer:
70° and 110°
Step-by-step explanation:
It is given that, two parallel lines l and m are intersected by a transversal t.
The interior angles on same side of transversal are (2x−8)° and (3x−7)°.
We need to find the measure of these angles.
We know that, the sum of interior angles of the same side of the transversal is equal to 180°. So,
(2x−8)° + (3x−7)° = 180°
⇒ 5x-15=180°
⇒5x=180°+15
⇒5x=195
⇒x=39
Put x = 39 in (2x−8)°,
(2x−8)° = (2(39)-8)°
=70°
Again put x = 39 in (3x−7)°,
(3x−7)° = (3(39)-7)°
=110°
So, the measure of these angles are 70° and 110°.
Answer:
$103.88
Step-by-step explanation:
$98 + 6% is 103.88.
Answer:
f(x) + g(x) = x + 20
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 6x - 4
g(x) = -5x + 24
<u>Step 2: Find f(x) + g(x)</u>
- Substitute in functions: f(x) + g(x) = 6x - 4 + (-5x + 24)
- Combine like terms (x): f(x) + g(x) = x - 4 + 24
- Combine like terms: f(x) + g(x) = x + 20
