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Goshia [24]
3 years ago
10

Find the length of BC.

Mathematics
2 answers:
gavmur [86]3 years ago
8 0

Answer:

B) 8

Step-by-step explanation:

The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.

Thus, AB+BC=AC, and we can substitute:

AB+BC=AC

(4x+8)+(3x-4)=32

4x+8+3x-4=32

7x+4=32

7x=28

x=4

Now that we have x, we can plug it in for segment BC:

BC=3x-4

3(4)-4

12-4

8

Therefore, choice B is correct

Umnica [9.8K]3 years ago
3 0

Answer:

BC = 8

Step-by-step explanation:

AB + BC = AC

4x + 8 + 3x - 4 = 32

7x + 4 = 32

7x = 32 - 4

7x = 28

x = 28/7

x = 4

BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8

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Prove that 3 power p + 1 - 3 power P upon 2 multiply 3 power p is equal to 1 ​
Anit [1.1K]

Answer:

see explanation

Step-by-step explanation:

note that 3^{p+1} = 3^{p} × 3 ( when multiplying exponents are added )

Given

\frac{3^{p+1}-3^{p}  }{2.3^{p} } ← factor out 3^{p} on numerator

= \frac{3^{p}(3-1) }{2.3^{p} }

= \frac{2.3^{p} }{2.3^{p} }

= 1

7 0
3 years ago
A survey was done on the number of people in eachcar leaving a Shopping
ycow [4]

Answer:

a) Mode number = 2

b) Median  = 64.5  = 4 people in car as 0.5 in 64.5 is close to 76

              = 4 people

c) Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with =  3 people

Step-by-step explanation:

45  is 1

198 is 2

121 is 3

76 is 4

52 is 5

13 is 6

Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.

Median is shown in the answer as we add up.

Mean we add up all frequency and divide by the amount of subjects = 6.

a) Mode number = 2

b) Median = 13, 45, 52, here 76, 121, 198    mid number between

             = (76-52 )/ 2  + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number    

median  = 64.5  in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.

c. Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with 3 seats

For cumulative frequency we can relist numbers like this

45

45 +198 = 243

243 +  121 = 364

364+76 = 440

440 + 52 = 492

492+13 = 505 to plot graph.

But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.

8 0
3 years ago
5634 ÷ 18 and show work
katen-ka-za [31]

Answer:

313

Step-by-step explanation:

hello I hope this helps you

6 0
3 years ago
Read 2 more answers
Jerome has 1/2 of the group's video games at his house. Mario has 2/5 of the group's video games at his
larisa86 [58]

Answer:

9/10

Step-by-step explanation:

you find the lowest common denominator in this case is 10

then you take 1/2 and multiply it by 5 both the bottom and top and then you should get 5/10

next you do the same with 2/5 but this time to the get the denominator to 10 you multiply by 2 again multiply both bottom and top and you should get 4/10

now you just add 4/10 and 5/10 together and you get 9/10 or 0.9 as a decimal

8 0
3 years ago
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