If vertical angles are congruent you know
84=4x
21=x
You also know that angle M is supplementary to the angle
, measuring 84. Supplementary means it adds to 180 so if you take the difference you get
180-84=M
96=M
Also M is vertical to the last unknown angle so since vertical angles are congruent the last angle is also 96
In the above problem, you want to find the number of multiples of 7 between 30 and 300.
This is an Arithmetic progression where you have n number of terms between 30 and 300 that are multiples of 7. So it is evident that the common difference here is 7.
Arithmetic progression is a sequence of numbers where each new number in the sequence is generated by adding a constant value (in the above case, it is 7) to the preceding number, called the common difference (d)
In the above case, the first number after 30 that is a multiple of 7 is 35
So first number (a) = 35
The last number in the sequence less than 300 that is a multiple of 7 is 294
So, last number (l) = 294
Common difference (d) = 7
The formula to find the number of terms in the sequence (n) is,
n = ((l - a) ÷ d) + 1 = ((294 - 35) ÷ 7) + 1 = (259 ÷ 7) + 1 = 37 + 1 = 38
Create a histogram with five intervals from this data set: 21, 37, 56, 87, 32, 45, 77, 71, 65, 67, 21, 34
dusya [7]
Answer:
The histogram and data are shown in the figures below
504 because every 9 feet is 3 yards and you would multiply the three yards ( 9 feet) by your 56 balloons
