Answer: 17.50
Step-by-step explanation:
20% of x = 3.50
(20/100) x = 3.50 Divide top and bottom of the left number by 20
(20÷20) / (100÷20) * x = 3.50
(1/5) x = 3.50 Multiply both sides by 5
x = 3.50 * 5
x = 17.50
The meal cost 17.50
The value of x is 84°.
Solution:
Measure of intercepted arc = 168°
Measure of angle x = ?
<u>Tangent-chord relationship:</u>
<em>If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.</em>
The value of x is 84°.
Answer:
a + b + c + d = 230
Step-by-step explanation:
So first, I am going to write down everything that I can find out from the picture.
a + b = 115
c + d + (180 - a) + (180 - b) = 360
Now, I can use a + b = 115 to simplify c + d + (180 - a) + (180 - b) = 360.
c + d + (360 - (a + b)) = 360
c + d + (360 - 115) = 360
c + d +245 = 360
c + d = 115
Now I know that:
a + b = 115
c + d = 115
Now I can find a + b + c + d
a + b + c + d = (a + b) + (c + d) = 115 + 115 = 230
a + b + c + d = 230
Answer:
76
2 real solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
- Positive - 2 solutions
- Equal to 0 - 1 solution
- Negative - No solutions/Imaginary
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 6x - 10 = 0
<u>Step 2: Identify Variables</u>
<em>Compare quadratic.</em>
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
<u>Step 3: Find Discriminant</u>
- Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)
- [Discriminant] Evaluate exponents: 36 - 4(1)(-10)
- [Discriminant] Multiply: 36 + 40
- [Discriminant] Add: 76
This tells us that our quadratic has 2 real solutions.
