Answer:
- Angle Bisector Theorem
- Sum of Adjacent Angles
- Co-interior angle property
- Additive law
Step-by-step explanation:
Note: Diagram for Question is attached
1. Angle Bisector Theorem
BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.
2. Sum of Adjacent Angles
Two adjacent angles can be added together to find the larger angle that is formed by the two angles.
3. Co-interior angle property
Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)
4. Additive law
By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.
There are total of 10 colors to choose.
6 are shades of purple and
4 are not shades of purple.
Tyler selects 5 colors, and exactly 2 are shades of purple. Therefore, the 3 other colors are not shades of purple.
I will use a quadratic formula:
Answer:
The answer is negative 5 degrees.
Step-by-step explanation:
You just have to subtract 3 by 8.
This question is incomplete
Complete Question
Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?
Answer:
1.33
Step-by-step explanation:
Time is proportional to Depth
Hence:
T ∝ D
T = kD
Where k is the constant of proportionality
After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.
Total number of hours now is 3 + 2 = 5 hours
5 = k × 3 3/4
5 = k × 3.75
k = 5/3.75
k = 1.33
