Answer:
8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
6(x - 2) = 36
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 6 on both sides: x - 2 = 6
- Add 2 on both sides: x = 8
To know what kind of triangle is it. use the pythagorean theorem:
A^2 + B^2 = C^2,
where C is the longest side of the triangle
if it satisfies the equation then it is a right triangle
if it does not then A^2 + B^2 > C^2 so it is acute triangle
if A^2 + B^2 < C^2 it is obtuse triangle
18^2 + 13^2 ? 27^2
324 + 169 ? 729
493 < 729 so it is obtuse triangle
Answer:
C
Step-by-step explanation:
The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.
x is the hypotenuse (side opposite of 90 degree angle).
We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.
For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:
<em>Now we can use property of radical to simplify:</em>
Correct answer is C
Answer:
intersecting
Step-by-step explanation:
Answer:
Option c -2.8571
Step-by-step explanation:
z-score are calculated as
.
We are given that mean=120 and standard deviation=S.D=35 as X~N(120,35).
Sample size=n=25.
We have to find z-score for x-bar=100. So,
z-score=[100-120]/[35/√25]
z-score=[-20]/[35/5]
z-score=-20/7
z-score=-2.8571.
Thus, the z-score associated with x-bar = 100 is -2.8571.