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AnnZ [28]
3 years ago
10

Find the value of x if A, B, and C are collinear points and B is between A and C.

Mathematics
1 answer:
Andrew [12]3 years ago
7 0

Answer:

x = 6

Option A.

Step-by-step explanation:

We know that

If A, B and C are collineal points, they all pass through a common line.

<--------------14-------------->

A-----------B----------------C

<-----x-----><------x+2---->

Based on the problem and the diagram above,

(x) + (x+2) = 14

(2x+2) = 14

(2x) = 12

(x) = 6

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The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9
QveST [7]

Answer:

  78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

  the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

  t + o = 15 . . . . . . the sum of digits is 15

  (10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

  9o -9t = 9 . . . . collect terms

  o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

  (t +o) +(o -t) = (15) +(1)

  2o = 16

  o = 8

  t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0
2 years ago
Mrs. Spect lost 1.25 pounds last week. She lost 2 pounds two
kenny6666 [7]

Answer:

On average she looses 1.33 pounds per week

Step-by-step explanation:

3/4=0.75

1.25+2+0.75=4 -> total weight loss

There are 3 weeks in total.

4/3=1.33

5 0
2 years ago
Solve for x I need help on this question
AlexFokin [52]

Answer:

x\approx7.8

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

sin(\theta)=\frac{opposite}{hypotenuse}

sin(23^\circ)=\frac{x}{20}

20sin(23^\circ)=x

x=20sin(23^\circ)

x\approx7.8

Therefore, the length of the opposite side is about 7.8 units

3 0
2 years ago
What does one equal 10+ b over 25 equal
max2010maxim [7]

Answer:

b is 15.

Step-by-step explanation:

Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.

8 0
2 years ago
Read 2 more answers
A certificate of deposit earns 1% interest every three months. The interest is compounded.
dsp73
A certificate of deposit earns 1% interest every three months. The interest is compounded.


What is the value of a $35,000 investment after 6 years?


$37,153.21

$39,438.88

$44,440.71

$56,295.30

A. 37,153.21
5 0
3 years ago
Read 2 more answers
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