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4 years ago

Is it possible for a triangle to have sides with the given lengths? Explain. 5 in., 8 in., 15 in.

2 answers:

5 0

Hello.
No, it is not. With a triangle, the sum of 2 lengths of any 2 sides will always be greater than the third side.
In the problem 5 + 8 is 13, which is less than 15. So this cannot be a triangle.

Nitella [24]4 years ago

4 0

<span>Triangle Inequality Theorem

</span><span>the sum of two side lengths of a triangle is always greater than the third side.
</span>
5+8=13
your answer = no

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ZA and B are supplementary angles.

yKpoI14uk [10]

Answer:

135°

Step-by-step explanation:

a supplementary angle is equal to 180°. since you already have the measure of ZA, all you need to do is subtract 45°, the measure of ZA, from 180°, the total measure of a supplementary angle, in order to figure out the measure of ZB.

180 - 45 = 135, therefore the measure of ZB = 135°.

5 0

3 years ago

To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certai

Nataliya [291]

Answer:

$\frac{\alpha }{2} = 2.5 \%$

$N = 25$

Step-by-step explanation:

From the question we are told that

The number of bootstrap samples is n = 1000

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally the percentage of values that must be chopped off from each tail for a 95% confidence interval is mathematically evaluated as

$\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%$

=> $\frac{\alpha }{2} = 2.5 \%$

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

$N = 1000 * \frac{\alpha }{2}$

=> $N = 1000 * 0.025$

=> $N = 25$

4 0

3 years ago

A family drives 425 miles the first day, 187 miles the second day and 243 miles the third day of their vacation. The odometer re

Andreas93 [3]

The reader should say 48,481

7 0

4 years ago

5(x+2)=6x+3x-14 please solve

zavuch27 [327]

Answer:

5(x+2)=6x+3x−14

Step 1: Simplify both sides of the equation.

5(x+2)=6x+3x−14

(5)(x)+(5)(2)=6x+3x+−14(Distribute)

5x+10=6x+3x+−14

5x+10=(6x+3x)+(−14)(Combine Like Terms)

5x+10=9x+−14

5x+10=9x−14

Step 2: Subtract 9x from both sides.

5x+10−9x=9x−14−9x

−4x+10=−14

Step 3: Subtract 10 from both sides.

−4x+10−10=−14−10

−4x=−24

Step 4: Divide both sides by -4.

−4x

−4

−24

−4

x=6

Answer:

x=6

7 0

3 years ago

If g(x) = x2 + 2, find g(3). (2 points) a 9 b 8 c 11 d 6

kap26 [50]

Answer:

c) 11

Step-by-step explanation:

g(x)= x² + 2

x = 3

substitute x for 3

g(3) = (3)² + 2

g(3) = 9 + 2

g(3) = 11

4 0

3 years ago