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Jobisdone [24]
3 years ago
11

Find the value of x if A,B,and C are collinear points and B is between A and C. AB=3x, BC=2x-7, AC=2x+35

Mathematics
2 answers:
Mariana [72]3 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

3x+2x-7=2x+35

then solve for x

bekas [8.4K]3 years ago
3 0

<u>Answer:</u>

x = 14

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

We are given that A, B and C are collinear points and B is in between A and C.

The length from A to B is 3 x, length from B to C is 2x - 7 and AC is 2 x + 35.

We are to find the value of x.

A B + B C = A C

3 x + 2 x - 7 = 2 x + 3 5

3 x + 2 x - 2 x = 3 5 + 7

3 x = 4 2

x = \frac { 4 2 } { 3 }

x = 14

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Sally needs 2/3 of a pound of potatoes. This is 1/3 of a pound more than 4/3 of the potatoes Sally has in her pantry
amid [387]

Lets assume, Sally has X pound of potatoes in her pantry.

So, 4/3 of the potatoes Sally has in her pantry = \frac{4}{3}X

Now, Sally needs 2/3 pound of potatoes and this 2/3 pound of potatoes is 1/3 pound more than that \frac{4}{3}X

So the representing equation will be:

\frac{2}{3} =  \frac{1}{3}+ \frac{4}{3}X

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\frac{1}{3}= \frac{4}{3}X

1= 4X (multiplying both sides by 3)

X =\frac{1}{4}

So, Sally has \frac{1}{4} pound of potatoes in her pantry.

4 0
3 years ago
Triangle JKL and Triangle MNO are similar triangles.
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We need to work out first the scale factor of the side length

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4 0
3 years ago
If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she
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Step-by-step explanation:

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Two different numbers are selected simultaneously and at random from the set {1,2,3,4,5,6,7,8,9,10}. What is the probability tha
ehidna [41]

The probability of getting positive difference between the numbers 3 or greater between 1,2,3,4,5,6,7,8,9,10 if two numbers are selected is 28/45.

Given Numbers:{ 1,2,3,4,5,6,7,8,9,10}

We have to find the probability that the positive difference between the numbers selected is 3 or greater.

Probability is the likelihood of happening an event among all the events possible.

Total number of combinations when two numbers are selected from 10 numbers is 10 C 2=10!/2!(10-2)!

=10*9*8!/2*1(8!)

=10*9/2

=45 combinations

Combinations of numbers whose difference will be 3 or more are: (10,7),(10,6),(10,5),(10,4)(10,3)(10,2)(10,1)(9,6)(9,5)(9,4)(9,3)(9,2)(9,1)(8,5)(8,4)(8,3)(8,2)(8,1)(7,4)(7,3)(7,2)(7,1)(6,3)(6,2)(6,1)(5,2)(5,1)(4,1)

Total numbers =28

Probability=numbers/total combinations

=28/45

Hence the probability that two numbers selected gives difference of 3 or more is 28/45.

Learn more about probability at brainly.com/question/24756209

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