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2 years ago

State what additional information is required in order to know that the triangles are congruent for the reason given.

Mathematics

2 answers:

STALIN [3.7K]2 years ago

4 0

I believe that would be B! Good luck I hope this helps

Amiraneli [1.4K]2 years ago

4 0

Answer:

B) PQ ≅ VR

Step-by-step explanation:

Reason given:

SAS, side-angle-side

Required information:

Two sides and the included angle

Information given:

∠RQP ≅ ∠QRV
QR ≅ RQ, same side

Addition information needed, the other side, adjacent to given angle:

PQ ≅ VR

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You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

svetoff [14.1K]

Answer:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

$ME = 50$ margin of error desired

$\sigma = 1000$ the standard deviation for this case

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=0.01$ . And for this case would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

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2 years ago

Describe the domain and range of y=2(3)^x-2+5

allochka39001 [22]

Answer:

Step-by-step explanation:

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2 years ago

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Solve for x 3(ax + 9) = -4 (-2 - 10x)

ivolga24 [154]

Answer:

----- = x

40-3a

Step-by-step explanation:

3(ax + 9) = -4 (-2 - 10x)

Distribute

3ax +27 = 8+40x

Subtract 3ax from each side

3ax-3ax +27 = 8+40x-3ax

27 = = 8+40x-3ax

Subtract 8 from each side

27-8 = 8-8+40x-3ax

19 = 40x-3ax

Factor an x on the right side

19 = x(40-3a)

Divide each side by 40-3a

19/(40-3a) = x(40-3a)/(40-3a)

----- = x

40-3a

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2 years ago

What is the dividend of 20 times 50

Kipish [7]

Answer:

1000

Step-by-step explanation:

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2) In the following diagram, a ladder is leaning against the building. What is the

bogdanovich [222]

Answer:

I believe the answer is about 34

Step-by-step explanation:

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3 years ago