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Elan Coil [88]
3 years ago
10

If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0

Since AB and BC are two parts of AC, AC = AB + BC

let's plug the expressions from the question into our equation above.

19 = 3x + 1 + 2x - 7

Combine like terms

19 = 5x - 6

Add 6 to both sides.

25 = 5x

Divide both sides by 5

5 = x

Nataly [62]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

Given that B is between A and C then

AB + BC = AC , substitute values

3x + 1 + 2x - 7 = 19 , that is

5x - 6 = 19 ( add 6 to both sides )

5x = 25 ( divide both sides by 5 )

x = 5

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4(n-1)+2 = -23 +7n
liubo4ka [24]

Answer:

<h2><em><u>n</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>7</u></em></h2>

Step-by-step explanation:

4(n-1)+2 = -23 +7n

=> 4n - 4 + 2 = - 23 + 7n

=> 23 - 4 + 2 = 7n - 4n

=> 21 = 3n

=  > n =  \frac{21}{3}

=> <em><u>n</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>7</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

6 0
3 years ago
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
kiruha [24]

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

5 0
3 years ago
Read 2 more answers
2 fractions between 3/5 and 4/5
Tasya [4]
Convert the fractions to decimals:

3/5=0.6
4/5=0.8

You have to find 2 fractions between these 2 numbers. You could pick anything.

7/10= 0.7 = less than 0.8 but greater than 0.6

75/100=0.75 = less than 0.8 but greater than 0.6

Hope this helps

3 0
3 years ago
On the number line above, points J, K, L, and M are integers, and JK:KL:KM = 2:1:3. What is the value of KM? number line shown b
Rama09 [41]

Answer:

<h2>F. 12</h2>

Step-by-step explanation:

The distance between A and M i.e JM = M - J = 5-(-19)

JM = 5+19

JM = 24

If JK:KL:KM = 2:1:3

The total ratio = 2+1+3

Total ratio = 6

Dividing each length based on ratio

length JK = 2/6 * JM

JK = 1/3 * 24

JK = 8

length KL = 1/6 * JM

KL = 1/6 * 24

KL = 4

length KM = 3/6 * JM

KM = 1/2 * 24

KM = 12

<em>Hence the value of KM is 12</em>

3 0
3 years ago
Which statement best describes the decimal equivalent of 5/9?
padilas [110]
The answer is c

Explanation:
A repeating decimal continues to go with the same number pattern. The terminating decimal stops the number pattern and does not keep repeating. The decimal for 5/9 is 0.5555... and it will keep repeating the number five.
3 0
3 years ago
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