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mario62 [17]
3 years ago
13

Given that B is the midpoint of segment AC, find the unknown values.

Mathematics
1 answer:
shusha [124]3 years ago
5 0
Hi! for x, you need to do 2x-8 = x+17 and solve, because since b is the midpoint, ab and bc would be congruent.

2x-8 = x+17
1x-8 = 17
1x = 25
x = 25

in order to find ab, you plug in the x into the expression.

ab = 2x-8
ab = 2(25)-8
ab = 42

do the same for bc:

bc = x + 17
bc = 25 + 17
bc = 42

and for ac, combine the two expressions and plug in the value for x.

ac = ab + bc
ac = 2x-8 + x+17
ac = 2(25)-8 + 25+17
ac = 84

i hope this helped! have a good day/night :)

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What is the probability that a randomly chosen male voter is a registered Democrat? Round your answer to the nearest tenth of a
grin007 [14]

Answer:

49%

Step-by-step explanation:

Well, you would just divide the "male democrat" category and the "male total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

\frac{600}{1222}=0.49

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

49%

7 0
4 years ago
What is probability of rolling a 5 on fair, six -sided number cube if you know that you rolled an odd number?
krok68 [10]

The probability is 1/3 to get a 5 if a die rolled an odd number.

<u>Step-by-step explanation:</u>

A six-sided fair cube with numbers from 1 to 6 have the possible outcomes such as {1,2,3,4,5,6}.

  • Of those six outcomes, you already know that you rolled an odd number.
  • Now, the total outcomes would be the odd numbers such as {1,3,5}.

The total no. of outcomes with odd numbers is {1,3,5} = 3  outcomes.

<u>To find the probability to get a 5 :</u>

Probability (get a 5) = No.of outcomes with 5 / Total no.of odd outcomes.

We know that,

There is only one possibility to get a 5 out of 3 odd outcomes.

⇒ P(get a 5) = 1/3

∴ The probability is 1/3 to get a 5 if a die rolled an odd number.

4 0
4 years ago
A camping ground began with 240 pounds of food and each day consumed about 12 pounds. After how many days did they have 180 poun
mash [69]

Answer:

5 days

Step-by-step explanation:

Set up linear equation; food= 240-12(day) f=240-12d

f(1)=240-12(1)=240-12=228

f(2)=240-12(2)=240-24=216

Now set food to equal 180, solve for days:

180=240-12d

-240  -240

-60=-12d

/-12  /-12

5=d

To check: f(5)=240-12(5)=240-60=180

3 0
3 years ago
Read 2 more answers
Answer for B and C and explanation if possible
sesenic [268]
B) The area of the garden and path is:

8 x 6 = 48


C) the area of just the path is:

48 - 35 = 13
5 0
3 years ago
Read 2 more answers
Solve the solution using the substitution method <br><br>3x +5y = 29<br>y= -4x -1
Artist 52 [7]
3x + 5y = 29         first equation
y = -4x - 1             second equation

substitute the second equation to the first equation;
3x + 5(-4x - 1) = 29
-17x - 5 = 29

solve for x;
-17x - 5 = 29
-17x = 34
x = -2

substitute x = -2 into the second equation to find y;
y = -4x - 1
y = -4(-2) - 1
y = 8 - 1
y = 7

so;
x = -2,  y = 7

hope this helps, God bless!
3 0
3 years ago
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