Answer:
<u>Statement | Reason</u>
1. AB = CB | Definition of isosceles triangle
2. AD = CD | Definition of median
3. BD = BD | Reflexive property
4. ΔADB ≅ ΔCDB | SSS (Side-side-side)
Answer:
In terms of π, the area of the shaded sector is 108πin²
Step-by-step explanation:
Area of the shaded sector, which is the major sector=x°/360(πr²)
A=270/360×π×(12in)²
A=¾π×144in²
A=108πin²( in terms of π)
Answer:
5
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 5x
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 5
y-intercept <em>b</em> = 0
Answer:
sqrt(144) = ±12
Step-by-step explanation:
sqrt(144)
What number, when multiplied by itself, gives 144
12*12 = 144
-12*-12 = 144
sqrt(144) = ±12
Answer:
<u>y = x + 7</u>
Step-by-step explanation:
Calculate the slope of a line that passes through (-2,5) and (1,8). The slope is the Rise/Run between the 2 points:
Rise = (8 - 5) or 3.
Run = (1-(-2)) = 3
Rise/Run, the slope m, is 3/3 or 1.
The equation can be written as y = 1x + b.
We need to find a value of b that forces the line though both points. Do that by entering one of the two points into y = 1x + b and solve for b. I'll use point (1,8)
y = x + b
8 = 1 + b
b = 7
The equation becomes <u>y = x + 7</u>
See the attached graph.