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Tcecarenko [31]
3 years ago
13

Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The oth

er triangle has a vertical side of 10 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?

(A) No, because they are not similar triangles
(B) No, because one is larger than the other
(C) Yes, because they are both right triangles
(D) Yes, because they are similar triangles
Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0

Answer:

Consider two right triangles: 1. ΔABC with vertices A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (vertical leg), AC=6 units (horizontal leg).2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).The equation of the line BC is Check whether points Y and Z lie on this line:Y(6,0):  - true;Z(36,-10):  - true.Answer:  the hypotenuses of these two triangles could lie along the same line

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Find the slope of the line?<br> the slope is____
chubhunter [2.5K]

Answer:

Slope is m= -1

Step-by-step explanation:

Use the slope formula to find the slope m .

y=mx+b

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3 years ago
In a video racing game, an obstacle randomly appears on the race track 3 times every 20 laps. Estimate the number of times the o
Black_prince [1.1K]

Answer:

15

Step-by-step explanation:

100 laps

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3 years ago
A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the
ale4655 [162]

Answer:

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

  1. Arithmetic Mean
  2. Median
  3. Mode
  4. Geometric Mean
  5. Harmonic Mean

Let us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

6 0
2 years ago
THIS IS URGENTE I AM BEING TIMED PLZ HELP, if you answer both correct i will mark you brainlyist
Lapatulllka [165]
Area would be 4.52 A= pi x radius squared
Circumference would be 7.54 C= 2 pi radius. Hope that makes sense.
4 0
3 years ago
At a store, 2 gallons of milk cost $6. Which is the value of the ratio of dollars to gallons of milk?
Nataliya [291]
1 gallon = $3 so the ratio would be 1:3 where 1 would represent the gallon and 3 the price
3 0
3 years ago
Read 2 more answers
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