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kotegsom [21]
1 year ago
9

What value of x would make KM ∥ JN?

Mathematics
1 answer:
stepan [7]1 year ago
4 0

Answer:

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if \dfrac{JK}{KL}= \dfrac{NM}{ML} , then KM ∥ JN.

Substitute the expressions into the proportion:

\dfrac{x-5}{x}= \dfrac{x-3}{x+4}

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

x(x) + x(4) - 5(x) - 5(4) = x(x) + x(-3).

Multiply and simplify:

x^2 +4x- 5x - 20 = x^2-3x\\-x-20=-3x\\$Collect like terms$\\-x+3x=20\\2x=20\\$Divide both sides by 2\\x=10

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

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4) Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days.
musickatia [10]

Answer:

20

Step-by-step explanation:

12+9=20

6 0
2 years ago
Sue played four games of golf.
alisha [4.7K]

Answer:

Sue's scores for the four games in ascending order are: 97, 98, 98, 107

Step-by-step explanation:

Her modal score was 98.  The mode is found by using the number that appears most often.  This means that 98 has to appear at least two times out of the four scores.

Her range was 10.  The range is found by taking the highest score and subtracting it from the lowest score.  The highest score had to be greater than 98 and the lowest score had to be less than 98 since we know the mode was 98.

Her mean score was 100.  This mean is found by adding all the numbers together and then dividing by the total numbers listed.  Adding the four scores together and dividing by 4 will equal 100.

Used guess and test:

Highest Number, 98, 98, Lowest Number

107 - 97 = 10 (meets range requirement)

97 + 98 + 98 + 107 = 400

400/4 = 100 (meets the mean requirement)

7 0
1 year ago
Read 2 more answers
1. & 2. In the diagram below, points A, B, and C are collinear. Answer each of the following questions. The figure shown bel
KiRa [710]

Answer:

a). AB = 8 in

b). AB = 9.75 in

c). AC = 6.5 in

d). BC = 1.5 in

Step-by-step explanation:

a). Since, AB = AC + CB

   Length of AC = 5 in. and CB = 3 in.

   Therefore, AB = 5 + 3 = 8 in.

b). Given : AC = 6.25 in and CB = 3.5 in

   Therefore, AB = AC + CB = 6.25 + 3.5

   AB = 9.75 in.

c). Given: AB = 10.2 in. and BC = 3.7 in.

    AB = AC + BC

    AC = AB - BC

    AC = 10.2 - 3.7

    AC = 6.5 in

d). Given: AB = 4.75 in and AC = 3.25 in.

   BC = AB - AC

   BC = 4.75 - 3.25 = 1.5 in.

4 0
1 year ago
What is the sum or difference?<br><br> 6x7 + 8x7
Agata [3.3K]
I think the answer is 98

7 0
2 years ago
Read 2 more answers
Given: -3(2x + 7) = -29 – 4x; Prove: x = 4
sergey [27]

Answer:

See steps below

Step-by-step explanation:

-3(2x+7)=-29-4x

Use the distributive property

-6x-21=-29-4x

Add 21 to each side

-6x=-8-4x

Add 4x to both sides

-2x=-8

Divide by -2

x=4

8 0
2 years ago
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