1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
defon
3 years ago
9

It is given

Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

  • (C) DF=4 cm, ∠A=80⁰

Step-by-step explanation:

<h3>Question </h3>
  • It is given the ∆ABC≅∆FDE and AB=4 cm, ∠B=40⁰ and ∠E=60⁰, then which of the following is true.
  • (A) DE=4cm, ∠A=80⁰
  • (B) DE=4 cm, ∠C=80⁰
  • (C) DF=4 cm, ∠A=80⁰
  • (D) DF=4cm, ∠C=80⁰​
<h3>Solution</h3>

<u>Corresponding sides and angles are:</u>

  • AB ≅ FD
  • ∠A≅∠F, ∠B≅∠D, ∠C≅∠E

<u>Given</u>:

  • AB = 4 cm, so FD = 4 cm
  • ∠B = 40⁰ and ∠E = 60⁰, so  ∠D = 40⁰ and ∠C = 60⁰

and

  • ∠A = ∠F = 180⁰​ - (40⁰​ + 60⁰​) = 80⁰​

Considering all above we see that correct answer option is (C) ​

You might be interested in
What is 2<br>two plus two
bagirrra123 [75]

The answer is 2+2=4 LOL

4 0
3 years ago
Read 2 more answers
NEED HELP FAST 15 POINTS
Flauer [41]

Answer:Can somebody please help

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find x. and rounddddd
Lerok [7]

Answer:

X=117.9

Step-by-step explanation:

I got itttt

6 0
3 years ago
The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
nadya68 [22]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We can use as an estimator for p \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

3 0
3 years ago
Calculate the surface area of a cylinder at waste bucket without a lid that measures 28 cm height and 18 cm in diameter give you
Debora [2.8K]

28500.53 Square Inches into Square Centimeters:

183,874.019348

7 0
3 years ago
Read 2 more answers
Other questions:
  • 4. The square root of 5 less than twice a number is 7. Find the number.
    10·1 answer
  • 2) Simplify 675 divided by (6+9 divided by 3)=
    13·1 answer
  • Problem page a suit is on sale for $197.20 , which is 34% of the regular price. what is the regular price?
    5·1 answer
  • I really need help with this math problem.
    14·1 answer
  • A shipping box in the shape of a cube has an edge length of 8 inches. It can hold 8 mugs with no extra space between them. If th
    5·2 answers
  • How do you collect and distribute this?
    9·1 answer
  • Express 0.7 as a rational number.
    10·1 answer
  • Please answer to this question ​
    15·1 answer
  • For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a
    12·1 answer
  • The equation for the line of best fit is f(x) ≠1. 8x â’ 5. 4 for the set of values in the table. A 2-column table with 7 rows.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!