Set up an equation of ratios as shown below:
h 24 ft 4
----- = ---------- = ---
4 6 ft 1
Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)
The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:
< (4x + 8) + < 72° = 180°
Combine like terms:
4x + 80 = 180°
Subtract 80 from both sides:
4x + 80° - 80° = 180° - 80°
4x = 100
Divide both sides by 4 to solve for x:
4x/4 = 100/4
x = 25
To verify whether the value of x is correct, substitute its value into the equality statement:
< (4x + 8)° + < 72° = 180°
< [4(25) + 8]° + < 72° = 180°
< (100 + 8)° + < 72° = 180°
< 108° + < 72° = 180°
180° = 180° (True statement. Therefore, the correct answer is x = 25).
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Answer:
Is an experimental study
Step-by-step explanation:
In an observational study you don't control any aspect of the investigation you just observe the variables that you determined since the beginning without any intervention.
In this case you are controlling who sees one or the other video, then you are controlling one of the variables that is the type of video each group sees and because of this it is an experimental study. Researchers designed an experiment to prove the null hypothesis they had.
#1 is 4
#2 is 9
#3 is 16
#4 can't read the numbers
Answer:
C
Step-by-step explanation:
We are trying to find the profit for every pizza sold. Since looking at the x axis, the point in which its x coordinate is 1 cannot be easily identified. Thus, we shall derive the answer using a point that can be easily identified.
We observe that the two points, (10,12) and (20,24) sits nicely on the graph. I will be using the first coordinate above to derive the answer.
For every 10 pizzas sold, $12 of profit is made.
10 pizzas ----- $12 profit
1 pizza ----- $12 ÷10= $1.20
Hence, the unit rate of profit for the pizzas is $1.20 per pizza.