Answer:
Step-by-step explanation:
<u>Given</u>
- DE = 3x + 2, EF = x + 5, DF = 23
<u>As per segment addition postulate</u>
<u>Substituting values:</u>
- 3x + 2 + x + 5 = 23
- 4x + 7 = 23
- 4x = 16
- x = 4
Answer:
A) 10-14
B) 45
C) 6.7%
Step-by-step explanation:
A) The interval that contain the most values can be gotten by looking at the histogram and selecting the interval with the highest frequency. Hence the interval 10-14 contains the most values because it has a frequency of 20.
B)The total number of swimmers is gotten by summing all the frequency of each individual lap. Hence:
Total swimmers on team = 10 + 12 + 20 + 0 + 3 = 45 swimmers
C) The percentage of swimmers who swam more than 14 laps = (number of swimmers that swam more than 14 laps/total swimmers) * 100%
The percentage of swimmers who swam more than 14 laps = [(0 + 3)/45] * 100% = (3/45) * 100% = 6.7%
Answer:
c=39
Step-by-step explanation:
c-7=32
c=7+32
c=39
Answer:
Step-by-step explanation:
We need to study the structure well
We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle
Then we remove the area of the four squared cut out from the big rectangle.
Total length of the rectangle is 5+1+1=7m
Then the length of the breath of the rectangle is 2+1+1=4m
So area of rectangle is given as length × breadth
Area= l×b
Area=7×4=28m²
Area of the big rectangle is 28m²
Then the squared is made of dimension 1m by 1m
Area of a square is s²
Then, a=1m
Area of the square= 1²=1m²
There are four squared side
Then, the total area of the four squared is 4×1=4m²
Then the required area is
Area=Total area - area of four squared side
Area=28m²-4m²
Area =24m²
Area of the figure is 24m²
The correct option is C.
