Answer:
LN = 64 units
Step-by-step explanation:
Given M lies on LN, so LN = LM + MN --------------(1)
LN = 12x + 16
LM = 10x + 8
MN = 5x - 4
Substituting the values in equation 1, we get:
12x + 16 = (10x + 8) + (5x - 4)
12x + 16 = 15x + 4
15x - 12x = 16 -4
3x=12
Therefore x=4
LN= 12(4) + 16 = 64 units
A and a' are vertical angles, therefore a' = a
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b
8 x (5 x 2 + 3)=104 because 5 x 2 is 10, 10 + 3 is 13, and 13 x 8 is 104.
Answer:
9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define expression</u>
8 - 2 · 3 + 7
<u>Step 2: Evaluate</u>
- Multiply: 8 - 6 + 7
- Subtract: 2 + 7
- Add: 9