Answer:
x = 50°
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
x° + 2(65°) = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Multiply: x + 130 = 180
- Isolate <em>x</em>: x = 50°
Since the side labeled 3 is 1/3 of 9 it's safe to assume the angle opposite is 1/3 of 90 degrees, making it 30 degrees. Here we are gonna use sin. The formula is gonna be sin(30)=3/x which can be turned into x(sin(30))=3 then divide both sides by sin(30) getting x=6. For Y, you're going to do Pythagorean Theorem. First, take 6^2 and subtract 3^2 which is 25 then square root that to get 5 which is the height of the smaller triangle. Then Pythagorean theorem again, 5^2 plus 9^2 equals 106 square root that to get roughly 10.3. Getting you the answeres of X=6 and Y=10.3
Answer: draw a diagonal line
Step-by-step explanation:
like this:
since it's going up, it's a positive slope
Answer: 2, 2, 2, 5, 13, 13.
Step-by-step explanation:
Here is the math in order to find the prime factorization
6760 ÷ 2 = 3380
3380 ÷ 2 = 1690
1690 ÷ 2 = 845
845 ÷ 5 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
