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ruslelena [56]
3 years ago
15

What is the length of side A, in centimeters, on the enlarged trapezoid? 4 6 12 20

Mathematics
2 answers:
Illusion [34]3 years ago
7 0
Since all of the other sides were multiplied by four, therefore you’d multiply side A by four as well.

So,

The length of side A is 4 centimeters.
Kazeer [188]3 years ago
4 0

Answer:

C

Step-by-step explanation:

given the fact that the other side measures all multiply by 4 when they are enlarged in the second shape, we know that the scale factor is 4. 3 enlarged by a scale factor of 4 = 12

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Question in the picture!!!!!!!!
torisob [31]

Answer:

∠A and ∠C are vertical and equal in measure

∠C is adjacent to the angle that is 27°

∠C and ∠B are supplementary

∠A and ∠B are supplementary AND adjacent

All of them are correct

Step-by-step explanation:

<u><em>This is just how to find the angles.</em></u>

"When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex." - MathPlanet

The 27° and the 90° angles added up equal ∠B

∠B = 117°

360°-117°-117°=∠A & ∠C

∠A + ∠C = 126°

∠A=∠C=63°

8 0
3 years ago
Read 2 more answers
Construct a​ 95% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A random sam
aniked [119]

Given Information:  

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

CI = 628.5 \: to \: 661.5 \: hours

Step-by-step explanation:  

The confidence interval is given by

CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})

CI = 645 \pm 2.131(7.75})

CI = 645 \pm 16.515

CI = 645 - 16.515 \: and \: 645 + 16.515

CI = 628.5 \: to \: 661.5 \: hours

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

6 0
3 years ago
8 copies of the sum of 4 thirds and 2 more? (Show your work)
KengaRu [80]

Answer:

40

Step-by-step explanation:

8copies of sum 4/3 and 2

So let's solve

Sum of 4/3and 2

4/3+2

Lcm is 3

4+6/2

10/2

5

8copies means 8 multiply by the sum of 4/3 and 2

So 8(5)

=40

So the answer is 40

6 0
3 years ago
URGENT!!! 50 POINTS!!! URGENT!!!!!!! Consider the polynomial functions P (x) and Q (x)​ , where neither polynomial is a constant
Nutka1998 [239]

Answer:

Always

Always

Sometimes

Never

Step-by-step explanation:

P(X) + Q(X)

Sum of two polynomials is always a polynomial.

For example, Let P(x) = 3x² and Q(x) = 5x

$ \implies P(x) + Q(x) = 3x² + 5x

This is again a polynomial.

In other words, we can say that Polynomial is closed under addition.

P(x) . Q(x)

Product of two polynomials is again a polynomial.

Let P(x) = 2x and Q(x) = a constant function, 5

Then the product = 10x, is again a polynomial.

Multiplication of two polynomials is closed.

P(x) / Q(x)

This need not always be a polynomial. When Q(x) = a constant function zero, i.e., Q(x) = 0, then the function is not defined.

But let's say P(x) = 5x² and Q(x) = x.

$ \frac{P(x)}{Q(x)} $ = $ \frac{5x^2}{x} $ = 5x, a polynomial.

So, $ \frac{P(x)}{Q(x)} $ is a polynomial sometimes.

We can, say Division is not always closed.

1/Q(x)

This could never be a polynomial. This is not even in the form of a polynomial. So, $ \frac{1}{Q(x)} $ is never a polynomial.

Hence, the answer.

7 0
3 years ago
The distance from Mercury to the Sun is 28.5 million miles. The distance from Neptune from the Sun is 2.8 billion miles. Express
Mnenie [13.5K]
2.79715 times 10 to the tenth power
8 0
3 years ago
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