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Licemer1 [7]
3 years ago
7

Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of

segment AB.
Select one:
a. 23
b. 9
c. 19
d. 3
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer:

C

Step-by-step explanation:

AB + BC = AC , that is

5x + 4 + 4x - 8 = 23

9x - 4 = 23 ( add 4 to both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Then

AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C

You might be interested in
The range of three numbers is 17.the mode is 24 and the median is 24 ? What are the three numbers?
vivado [14]

The answer is 7, 24, 24.

The median is the middle number.

The mode is the number which occurs the most.

The range is the difference between the largest number and the smallest number.

Since 24 is the middle number, it is the median.

Since 24 is also the number which occurs the most often, it is also the mode.

To find range, do 24-7 which is equal to seventeen.

<em>Hope it helps</em>


3 0
3 years ago
Read 2 more answers
Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville. Thirty people selected Coke
Aleksandr-060686 [28]

Answer:yo

Step-by-step explanation:yo

4 0
3 years ago
Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
Slav-nsk [51]

Answer: No

Step-by-step explanation:

To find out if it is a right triangle then use the formula  a^2 + b^2 = c^2 where a and b are the legs which are the two small sides  and c is the hypotenuse the longest side.  Input the values for  a, b, and c and solve.

a = 12

b = 16

c= 25

12^2 + 16^2 = 25^2

144 + 256 = 625

   400 = 625

This means that it is not a right angle because 400 does not equal to 625.

7 0
3 years ago
The following steps can be used to compute
grin007 [14]

Answer:distributive property

Step-by-step explanation:

8 0
3 years ago
According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year,
12345 [234]

Answer:

(1) a. 0.0009

(2) d. 0.640

(3)

  • a. P(A and B) = 0.06.
  • b. P(A or B) = 0.70.

(4)Not disjoint

(5) a. nearly 0.

(6)b. 0.919

Step-by-Step Explanation:

(1)Probability of a baby being born with a birth defect =3%=0.03

The probability that both babies have birth defects=0.03 X 0.03= 0.0009.

(2)The probability of contracting the influenza virus each year = 20%=0.2

Therefore, the probability of not contracting the influenza virus =1-0.2=0.8

The probability that neither baby catches the flu in a given year:

=0.8 X  0.8

=0.64

(3)

P(A)=0.1

P(B)=0.6

P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7

P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06

(4)

P(A)=0.2

P(B)=0.9

Event A and B cannot be disjoint.

(5)

The probability of an American woman aged 20 to 24 having Chlamydia infection  =\dfrac{2791.5}{100000}

The probability that three randomly selected women in this age group have the infection

=\dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \\\\=0.00002175\\\approx 0

(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection  =1-\dfrac{2791.5}{100000}

The probability that three randomly selected women in this age group do not have the infection

=\left(1-\dfrac{2791.5}{100000}\right)^3\\\\=0.9186\\\approx 0.919

7 0
4 years ago
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