Answer:
x = -4
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>
-15x + 5 = -10x + 25
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 15x on both sides: 5 = 5x + 25
- Subtract 25 on both sides: -20 = 5x
- Divide 5 on both sides: -4 = x
- Rewrite: x = -4
Answer:
7.85 cm
Step-by-step explanation:
The circumference of a circle can be found using the following formula.

The diameter is 2.5 centimeters. Therefore, we can substitute 2.5 cm in for d.

Now, find the circumference.
- In terms of pi:



-Using 3.14 as pi



-Using 3.14159... as pi


Answer:
Step-by-step explanation:
Since the triangle is equilateral, QR = RS = QS.
a. MS = (1/2)74
MS = 37
b. Half of the equilateral triangle makes a right triangle. Use Pythagorean Theorem to find QM.
a^2 + b^2 = c^2
37^2 + b^2 = 74^2
1369 + b^2 = 5476
subtract 1369 from both sides
b^2 = 4107
take the square root if both sides
b = 64.1
QM = 64.1