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galben [10]
4 years ago
7

Please help guys I'm frustrated with this ​

Mathematics
2 answers:
r-ruslan [8.4K]4 years ago
5 0

OL is perpendicular to ON, which means that there is a 90 degree angle being created between these two line segments. So, angle LON is equal to 90 degrees. Because LON is a 90 degree angle and we have two angles within it, those two angles are complimentary. We can add LOM and MON together and they will equal 90 degrees.

3x - 15 + 5x - 23 = 90

8x - 38 = 90

8x = 128

x = 16 degrees

Angle MON = 5x - 23

5(16) - 23 = 57 degrees

Angle MON = 57 degrees

Hope this helps!! :)

julsineya [31]4 years ago
3 0

Answer:

LOM 3x-15  Lets say x is 15 = 3x

3x= 45-15 = 30

MON, therefore 5x-23= 75-23=52

It is a right angle we want 8 more divided by 3+5=8/8

Lets say x is now 16

LOM 3x= 48  48-15 = 33  

MON 5x -23= 80 = 80-23= 57

Both angles add up to 90 degree making the right angle.

Step-by-step explanation:

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FromTheMoon [43]

Answer:

The constant of proportionality k = 11.5.

The equation will be: \mathbf{y=11.5(x)}

Step-by-step explanation:

If x represents number of hours than y represents miles

We are given:

x        y

4         46

5         57.5

6         69

The constant of proportionality can be found using formula: k=\frac{y}{x}

Putting values and finding k

x        y               k (k=\frac{y}{x})

4         46            11.5

5         57.5         11.5

6         69            11.5

So, the constant of proportionality k = 11.5

Now, The equation will be:

k=\frac{y}{x}\\or \\y=kx\\Put \ k=11.5\\y=11.5(x)

So, the equation will be: \mathbf{y=11.5(x)}

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3 years ago
Which ordered pairs are solutions to the inequality y - 3x < -8?
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Answer:

Option B,C and E are solution to given inequality y - 3x < -8

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality y - 3x < -8

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

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So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

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So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

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So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

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So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

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So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality y - 3x < -8

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