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IgorC [24]
2 years ago
8

If NO = 17 and NP = 5x -6, find the value of x. Then find NO and OP.

Mathematics
1 answer:
yan [13]2 years ago
7 0
Well lets assume that NO = NP. If this is the case then 17 = 5x - 6. We then want to solve for x. So add 6 to each side, this equals 23 = 5x. I do not know if it is suppose to be a decimal, but I will do it anyway. Divide 23 by 5 which is 4.6. So x = 4.6. Now plug this into x. So NO = 17 and NP = 17. This is the only way I see possible to solve this problem. Let me know if it was correct please.
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In the diagram, . To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used? WV and XY
My name is Ann [436]

Step-by-step explanation:

To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent. Depending on which side is given to you, choose the one that conforming to it. For example:

Figure 1:

Side HJ is congruent with side ML, Angle J is congruent with angle M, Side IJ is congruent with side KM (SAS)

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5 0
2 years ago
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If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders
White raven [17]

Answer:

the seventh grader because the eighth graders got 58 which is more than 50 so the 7th grader would get the pts

Step-by-step explanation:

7 0
2 years ago
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On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4). What is the range of the function on the graph?
slavikrds [6]

Answer:

Step-by-step explanation:

2<y<4

all real numbers >2 and < 4

5 0
2 years ago
they paid $13 for each pepperoni pizza and $11for each plain pizza the club bought total of 18 pizzas for the party and paint a
jeka94

Complete question;

A booster club paid for pizzas for an  end of season party. They paid $13  for each pepperoni pizza and $11 for  each plain pizza. The club bought a

total of 18 pizzas for the party and  paid a total of $212.

Drag and drop the numbers to the  boxes to create an equation which  models this situation if x = the  number of pepperoni pizzas and y =  the number of plain pizzas bought.

Answer:

13x + 11y = 212

Step-by-step explanation:

They bought 2 different recipe of pizza. The first is the pepperoni pizza and the second kind is the plain pizza. The pepperoni pizza cost $13 each while the  plain Pizza cost $11 each. The total number of pizza bought is 18 in number.

The total cost of the pizza is also $212.

number of pizza bought = 18

total cost of pizza = $212

x = the  number of pepperoni pizzas

y =  the number of plain pizzas

The number of pepperoni pizzas multiply by the cost for each will give the cost of the pepperoni pizzas. This same method is applied to get the cost of the plain pizzas.

Therefore, adding the individual cost of the kinds of pizza will give the total cost of the pizzas.

13x + 11y = 212

4 0
2 years ago
Assume that the ages for first marriages are normally distributed with a mean of 26 years and a standard deviation of 4 years. W
Snowcat [4.5K]

Answer:

0.7743

Step-by-step explanation:

Mean of age = u = 26 years

Standard Deviation = \sigma = 4 years

We need to find the probability that the person getting married is in his or her twenties. This means the age of the person should be between 20 and 30. So, we are to find P( 20 < x < 30), where represents the distribution of age.

Since the data is normally distributed we can use the z distribution to solve this problem. The formula to calculate the z score is:

z=\frac{x-u}{\sigma}

20 converted to z score will be:

z=\frac{20-26}{4}=-1.5

30 converted to z score will be:

z=\frac{30-26}{4}=1

So, now we have to find the probability that the z value lies between -1.5 and 1.

P( 20 < x < 30) = P( -1.5 < z < 1)

P( -1.5 < z < 1 ) = P(z < 1) - P(z<-1.5)

From the z-table:

P(z < 1) = 0.8413

P(z < -1.5) =0.067

So,

P( -1.5 < z < 1 ) = 0.8413 - 0.067 = 0.7743

Thus,

P( 20 < x < 30) = 0.7743

So, we can conclude that the probability that a person getting married for the first time is in his or her twenties is 0.7743

6 0
2 years ago
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