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4 years ago

Is it possible to draw a triangle that is both obtuse and equilateral explain why it why not

2 answers:

8 0

No, it is not. An equilateral triangle has 3 congruent angles. For this to be true, all angle measurements in an equilateral triangle would need to be 60 degrees, which cannot be obtuse.

Hope this helps!

aliina [53]4 years ago

3 0

It is not possible. Each angle in an equilateral triangle must be 60 degrees. 60 degrees is an acute angle.

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Answer: D. Infinite solutions

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4 0

4 years ago

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The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –3 6 3 4

Maksim231197 [3]

Answer

A. Many solution

Step by step explanation

Points on line 1 : (-3, 6) and (3, 4)

Points on line 2: (-6, 7) and (9, 2)

Now let's find the slope of the line 1

Slope formula = $\frac{y2 - y1}{x2 - x1}$

Slope of line 1 = (4 - 6) / (3 - (-3)

= -2/(3 + 3)

= -2/6

Slope of line 1 = -1/3

The equation of the line y - y 1 = m(x - x1)

y - 6 = -1/3 (x - (-3))

y -6 = -1/3 (x + 3)

y -6 = -1/3x - 1

y = -1/3x + 5

Slope of line 2 = (2 - 7) / (9 -(-6))

= -5/(9 + 6)

= -5/15

Slope of line 2 = -1/3

The equation of line

y - y1 = m(x - x1)

y - 7 = -1/3(x - (-6))

y - 7 = -1/3(x + 6)

y -7 = -1/3 x - 2

y = -1/3 x + 5

The line 1 and line 2 have the same slopes and the same y-intercept. Both are the same equation. Therefore, there will be many solution.

Answer : A. 0 Solution

Thank you.

7 0

4 years ago

a normal distribution has a mean of 56 and a standard deviation of 8. Find the percentage of data values that are in the given i

vekshin1

Answer:

12) Between 40 and 64 = 0.815

13) Between 32 and 40 = 0.0235

14) Between 56 and 64 = 0.34

15) At most 56 = 0.515

16) At least 72 = 0.025

17) At most 64 = 0.855

Explanation:

To answer this, we will convert each of the values into their standardized form to make this easier.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ

x = Each value

μ = Mean = 56

σ = Standard deviation = 8

12) Between 40 and 64

For 40,

z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2

For 64

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

So,

Between 40 and 64 = Between -2 and 1

From the curve, noting that the central point is the mean, with standard score of 0, the lines before it move in step of 1 standard deviation towards the negative side, that is, -1, -2, etc. And the lines before the central point move towards the positive side, that is, 1, 2, 3, etc.

So,

Between -2 and 1 = 0.135 + 0.34 + 0.34 = 0.815

13) Between 32 and 40

For 32,

z = (x - μ)/σ = (32 - 56)/8 = (-24/8) = -3

For 40,

z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2

So,

Between 32 and 40 = Between -3 and -2 = 0.0235

14) Between 56 and 64

For 56,

z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0

For 64,

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

Between 56 and 64 = Between 0 and 1 = 0.34

15) At most 56

For 56,

z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0

At most 56 = At most 0 = 0.0015 + 0.0235 + 0.15 + 0.34 = 0.515

All the regions before z = 0)

16) At least 72

For 72,

z = (x - μ)/σ = (72 - 56)/8 = (16/8) = 2

At least 72 = At least 2 = 0.0235 + 0.0015 = 0.025

(All the regions from z = 2 to the end)

17) At most 64

For 64,

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

At most 64 = At most 1 = 0.0015 + 0.0235 + 0.15 + 0.34 + 0.34 = 0.855

(All the regions before z = 1)

Hope this Helps!!!

4 0

3 years ago