Answer:
it is -7
Step-by-step explanation:
An additive inverse is a term which when added to another term yields the additive unity=0.
7+ (-7)=0
Answer/Step-by-step explanation:
a. m<h = x°
Two angles to use in finding x are <h and 55°
Angle pair formed: linear pair angles
b. x° + 55° = 180° (linear pair)
Subtract 55° from each side
x + 55 - 55 = 180 - 55
x = 125°
c. Given: m<n = y°
Two angles to use in solving for y are: <h and <n
Angle pair formed: alternate exterior angles
d. m<n = y° (given)
m<n = x° = 125° (as solved in 2b)
Therefore:
y = x (alternate exterior angles are congruent)
thus:
y = 125° (substitution)
Answer:
n = 34.4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Set Up</u>
Let's let our number be set by variable <em>n</em>.
We add 7 to it: n + 7
We then double that entire expression: 2(n + 7)
That expression is equal to 82.8: 2(n + 7) = 82.8
<u>Step 2: Solve for </u><em><u>n</u></em>
- [Division Property of Equality] Divide 2 on both sides: n + 7 = 41.4
- [Subtraction Property of Equality] Subtract 7 on both sides: n = 34.4
∴ Caroline's original number is 34.4.
