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
lesya [120]
3 years ago
14

Part 2. State what additional information is required in order to know that the triangles are congruent by ASA.​

Mathematics
1 answer:
Helga [31]3 years ago
7 0
<h3>Answer: Choice D. \angle SQR \cong \angle XQR</h3>

The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".

The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that \angle SQR \cong \angle XQR, then we can use ASA.

One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.

You might be interested in
Typing errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but inc
nordsb [41]

Answer:

a) X is binomial with n = 10 and p = 0.3

Y is binomial with n = 10 and p = 0.7

b) The mean number of errors caught is 7.

The mean number of errors missed is 3.

c) The standard deviation of the number of errors caught is 1.4491.

The standard deviation of the number of errors missed is 1.4491.

Step-by-step explanation:

For each typing error, there are only two possible outcomes. Either it is caught, or it is not. The probability of a typing error being caught is independent of other errors. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

10 word errors.

This means that n = 10

(a) If X is the number of word errors missed, what is the distribution of X ?

Human proofreaders catch 70 % of word errors. This means that they miss 30% of errors.

So for X, p = 0.3.

The answer is:

X is binomial with n = 10 and p = 0.3.

If Y is the number of word errors caught, what is the distribution of Y ?

Human proofreaders catch 70 % of word errors.

So for Y, p = 0.7.

The answer is:

Y is binomial with n = 10 and p = 0.7

(b) What is the mean number of errors caught?

E(Y) = np = 10*0.7 = 7

The mean number of errors caught is 7.

What is the mean number of errors missed?

E(X) = np = 10*0.3 = 3

The mean number of errors missed is 3.

(c) What is the standard deviation of the number of errors caught?

\sqrt{V(Y)} = \sqrt{np(1-p)} = \sqrt{10*0.7*0.3} = 1.4491

The standard deviation of the number of errors caught is 1.4491.

What is the standard deviation of the number of errors missed?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.3*0.7} = 1.4491

The standard deviation of the number of errors missed is 1.4491.

6 0
3 years ago
1. Which expressions are equivalent to 5^6x5^-3​
Olenka [21]
You just add both of the powers , so 6-3 is 3

the answer is 5^3
7 0
3 years ago
Read 2 more answers
Which BEST describes the construction of a triangle if given one side length of 10 cm and one right angle?
Svetach [21]
B, is the answer! :))))))))))))))
3 0
3 years ago
Read 2 more answers
20 POINTS <br> Identify the type of transformation in the following graphic and describe the change.
o-na [289]

Answer:

Translation +6 Left

and maybe a slight dilation that makes it bigger.

Hope this helps!

6 0
4 years ago
Total health care costs in the United States in 2003 were $2,000,000,000,000. Express this number in scientific notation.
Elan Coil [88]

2^12 power please give me stars and points


5 0
3 years ago
Other questions:
  • Substiution method: y + 9 = 1/5x and
    12·1 answer
  • Drag each expression to show whether it is equivalent to −1.3x−(−8.9x), −1.3x+(−8.9x), or neither.
    10·1 answer
  • The city has a section of land that is 3,694.7 feet long. The city wants to partition this lengths to form 10 equal-sized garden
    11·1 answer
  • Expand and simplify<br> (3y - 2)(y + 3)
    15·2 answers
  • Negative 24 divided 15
    13·1 answer
  • Trevor deposits $1500 in a simple interest account that pays 4.3% annually. After 15 years, how much total money would be in the
    5·2 answers
  • The sum of two numbers is 36 and the difference is 8.Find the numbers
    6·1 answer
  • Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and
    8·1 answer
  • Amplifica fractia 2 supra 5 pana cand numitorul o sa fie 100
    10·1 answer
  • The total cost of lunch is $3.50, consisting of a juice, a sandwich, and a pear. The juice cost 1.5 times as much as the pear. T
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!