angle D = 92°
Step-by-step explanation:
Since the two figures are congruent.
angle D = angle K
20x + 12 = 25x - 8
5x = 20
x = 4
Substituting this value into angle D, we see that
angle D = 20x + 12
= 20(4) + 12
= 92°
Answer:
0.75m
Step-by-step explanation:
The volume of a prism is:
the area of the cross section × length
In this case the cross section is the circle so the formula is
v = πr²h
volume = 21m³
height or length = 12m
Sub in the values:
21 = πr² × 12
1.75 = πr² (I divided both sides by 12)
0.5570423008 = r² (I divided both sides by π)
r = 0.74635... (I square rooted both sides)
r ≈ 0.75m (to 2 d.p)
Answer:
Mean of resulting data = 7 times mean of original data=7a
Step-by-step explanation:
Given that all values in a data set are multiplied by 7. to find the mean of the new set.
Let {x1,x2....xn} be the original data set.
The mean of this data set a= 
Now multiply all values by 7
New data set
= {7x1, 7x2...7xn}
Sum of these = 7(x1+x2+..+xn) = 7 times sum of original data set
No of element = n for both the sets
Hence new mean = 7 * mean of original set.=7a
in other words, if the mean of the values in a data set is a. If each of the values in the data set were multiplied by 7, new mean would be 7a.
Answer:
y intercept= 0
Step-by-step explanation:
in the formula y=mx+b, m is the slope and b is the y intercept. here we are not given "b" so the y intercept it 0
55 miles per hour, to answer questions like these you need to calculate the time (T=D/R) for each individual portion of the trip, add the time together to get total time, and then divide the total distance by the total time in order to get the average velocity in mph.
