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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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f(x)=mx+b\to y=mx+b

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Substitute

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3 years ago
The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what
harkovskaia [24]

Answer:

78.88%

Step-by-step explanation:

We have been given that

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The z-score formula is given by

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For x_1=20

z_1=\frac{20-25}{4}\\\\z_1=-1.25

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z_2=\frac{30-25}{4}\\\\z_2=1.25

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

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6 0
3 years ago
Read 2 more answers
How to calculate slope?
LUCKY_DIMON [66]

Answer:

Rise/run    rise over run

Step-by-step explanation:

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Let x be the length and y be the width of a rectangle.
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Answer: When the dimension is doubled, the area is 4 times the original.
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8 0
3 years ago
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