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Paul [167]
2 years ago
7

10. JKLM is a rhombus KLN is a triangle. Find MKN.

Mathematics
1 answer:
rjkz [21]2 years ago
7 0

Answer:

65°

Step-by-step explanation:

JM = JK (all sides of a rhombus are equal)

Angle JKM = 25° (isosceles triangle)

Angle JKL = 50° (consecutive angles of rhombus)

Angle MKL = 25° (angle subtraction)

Angle MLK = 130° (opposite angles of a rhombus)

Angle KLN = 50° (angles on a straight line)

Angle LKN = 40° (angle sum of triangle)

Angle MKN = 65° (angle addition)

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Answer:

x > 17

Step-by-step explanation:

Add 8 to both sides:

6x - 8 > 4x + 26

6x > 4x + 34

Subtract 4x from both sides:

2x > 34

Divide each side by 2:

x > 17

So, the solution is x > 17

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Jobisdone [24]

Answer:

\frac{3}{5}.

Step-by-step explanation:

We have been given two sets as A: {71,73,79,83,87} B:{57,59,61,67}. We are asked to find the probability that both numbers are prime, if one number is selected at random from set A, and one number is selected at random from set B.

We can see that in set A, there is only one non-prime number that is 87 as it is divisible by 3.

So there are 4 prime number in set A and total numbers are 5.

P(\text{Prime number from A})=\frac{4}{5}

We can see that in set B, there is only one non-prime number that is 57 as it is divisible by 3.

So there are 3 prime number in set B and total numbers are 4.

P(\text{Prime number from B})=\frac{3}{4}

Now, we will multiply both probabilities to find the probability that both numbers are prime. We are multiplying probabilities because both events are independent.

P(\text{Prime number from A and B})=\frac{4}{5}\times \frac{3}{4}

P(\text{Prime number from A and B})=\frac{1}{5}\times \frac{3}{1}

P(\text{Prime number from A and B})=\frac{3}{5}

Therefore, the probability that both numbers are prime would be \frac{3}{5}.

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3 years ago
What is the answer for #4 ?
olya-2409 [2.1K]

Answer:

x>5 or x

Step-by-step explanation:

Isolate the absolute value term.

7|\frac{x}{7}|>5 \\ \\ |\frac{x}{7}|>35

Take about the absolute value sign.

\frac{x}{7}>5 or -\frac{x}{7}>5

Solve for each inequality.

x>5 or x

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