Answer:
m<1 = 45°
m<2 = 76°
m<3 = 80°
Step-by-step explanation:
<u>Points to remember</u>
1). Vertically opposite angles are equal
2). Sum of angles of a triangles is 180°
<u>To find the measures of given angles</u>
From the figure we get,
m<1 = 45° [Vertically opposite angles]
By using angle sum property <2 + 59 + 45 = 180
m<2 = 180 - 104
m<2 = 76°
Also m<1 + m<3 + 55 = 180
m<3 = 180 - (m<1 + 55)
= 180 - (45 + 55)
= 180 - 100
m<3 = 80°
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1
5x-2x=7x+2x-24
3x = 9x -24
3x - 9x = -24
-6x = -24
x = -24/-6
x = 4
Answer:
Option B, (-9, -5), 3
Step-by-step explanation:
<u>The point slope form in: y - y1 = m(x - x1)</u>
m is the slope
(x1, y1) is the point
<u>Step 1: Determine what the slope and point is their equation</u>
y + 5 = 3(x + 9)
3 is the slope
(-9, -5) is the point
Answer: Option B, (-9, -5), 3
