A, B, and C are collinear. B lies between A and C. The ratio of AB and BC is 3: 1.
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Answer:
Step-by-step explanation:
1. The slope-intercept form of an equation of a line is y = mx + b.
- y = y-coordinate
- m = slope
- x = x-coordinate
- b = y-intercept
2. Since we're given the slope is 5 and the y-intercept is 3, we just plug in those values to their corresponding variable:
- y = 5x + 3
Answer:
The Proof is given below.
Step-by-step explanation:
Given:
P is the center of Circle
∠ONE ≅ ∠TEN
To Prove:
∠5 ≅ ∠6
Proof:
Exterior Angle Theorem:
Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.
STATEMENT REASON
1. So In ΔONE,
1. Exterior Angle Property of a Triangle.
2. Similarly In ΔTEN,
2. Exterior Angle Property of a Triangle.
3. But , ∠ONE ≅ ∠TEN 3. Given
4. And P is the center of circle So
4.radius of same circle
5. ΔPEN is an Isosceles triangle,
∴ ∠ 1 ≅ ∠ 2 5. Isosceles triangle property
6. ∴ ∠5 ≅ ∠6 6. From 3 and 5 Transitive Property.........Proved