Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Given : m∠AOC = 160° m∠AOD= (3x-10)° and m∠ DOC= (x+14)°
Prove: x= 39°
Statement Reason
1. m∠AOC = 160°, m∠AOD= (3x-10)° 1. Given
and m∠ DOC= (x+14)°
2. m∠AOD+m∠DOC=m∠AOC 2. Because OD divides ∠AOC
into ∠AOD and ∠DOC
3. (3x-10)° +(x+14)°= 160° 3. By substitution
4. 4x+4 = 160° 4. By equating like terms
5. 4x= 156° 5. By subtraction property
of equality
6. x= 39° 6. By division property of equality
Answer:
Simplified - 2x(-x+4), Solution - -2x(-x+4)
The cost to equip all the stations in the chemistry lab is calculated as: $393.75.
<h3>How to Calculate Total Cost?</h3>
In this scenario, we are given the following:
Total number of stations = 21 stations
Length of rubber tubing each of the stations in the chemistry lab needs = 5 feet
Total length of rubber tubing needed for all stations in the chemistry lab = 21 × 5 = 105 feet
Cost of 1 rubber tubing = $6.25 per yard
Convert 5 feet to yard:
1 yard = 3 feet
x yard = 5 feet
x = (5 × 1)/3
x = 5/3 feet.
So, the cost of 1 rubber tubing = $6.25 per 5/3
Cost of total length of tubbing needed = (105 × 6.25)/5/3 = (105 × 6.25) × 3/5
Cost of total length of tubbing needed = $393.75
Therefore, the cost to equip all the stations in the chemistry lab is calculated as: $393.75.
Learn more about the How to Calculate Total Cost on:
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Answer:
A. 1/2 of a goal
Step-by-step explanation:
Hello!
Given the options:
A. 1/2 of a goal
B. 3/4of a goal
C. 1 goal
D. 4/3 goals
In a linear regression analysis the interpretation of the slope is:
> The modification of the average of Y when X increases one unit.
Given the variables
Y: Goals scored in the tournament.
X: Hours of training.
To calculate the slope, you have to use the y-intercept and choose two pairs of (Y;X) values that correspond to a value on the line, for example (1;1.5) and (2;1.5).
You can calculate the slope as b= ΔY/ΔX
1st value (X₁;Y₁)= (0;1)
2nd value (X₂Y₂)= (1;1.5)
So the average goals a player scores for every additional hour of practice is 1/2.
I hope this helps!
