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gtnhenbr [62]
2 years ago
14

Which list could represent the four angle measures of a quadrilateral if one angle measures 125°?

Mathematics
2 answers:
IceJOKER [234]2 years ago
6 0

Answer:

D. 55, 55, 125, 125

Step-by-step explanation:

To solve this problem we first need to know what the total degrees of a 4 angle quadrilateral is. The answer to this is 360°. Knowing this, we need to figure out which combination of numbers adds up to 360. To do this, I go through the list and check all of the options.

A.) 10+10+125+125=270

B.) 15+15+25+125=180

C.) 15+15+115+125=270

D.) 55+55+125+125=360

k0ka [10]2 years ago
4 0

Answer: D

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°.

55+55+125+125=360

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Help PLease! PLease explainn how to do these types of equations!
leonid [27]

Answer:

4xy See image.

Step-by-step explanation:

Remember for division questions to use Keep, Change, Flip. You will Keep the first term the same. Change the divide to times. And Flip the second term (turn it upside down, in math this is called the reciprocal)

Also, you need to know when you you get to the part where everything is times, then you times: top×top, and bottom×bottom.

Once everything is times, you can rearrange the order and cancel (cancel is not really the mathy thing happening, you are dividing---

x/x is 1 and y/y is 1,

10/5 is 2, 6/3 is 2) See image.

7 0
2 years ago
Question 3
nalin [4]

Answer:

idk

Step-by-step explanation:

i+d+k= idk

6 0
3 years ago
39. Kate recorded the time it took six children of
scZoUnD [109]

Answer:

y=-11x+261

Step-by-step explanation:

As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.

m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

Where B(11,137) and C(12,126)

m=\frac{126-137}{12-11}=-11

So, the slope of the line that best fits is -11, approximately.

Now, we use the point-slope formula to find the equation.

y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261

Therefore, the line that best fits is y=-11x+261 approximately.

Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.

4 0
3 years ago
A track runner is eager to see if practicing helps her improve. She has plotted data on her weekly 100-meter dash times (s) as w
insens350 [35]

Answer:

\displaystyle s = -\frac{1}{5}h + 20

Step-by-step explanation:

<em>Time</em><em> </em>is the dependent variable, so you set your function equal to <em>s</em>. Then, the correlation of the graph has a \displaystyle -\frac{1}{5}<em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] from the y-intercept of \displaystyle [0, 20],so we choose this answer choice.

I am joyous to assist you anytime.

4 0
3 years ago
A center for medical services reported that there were 295,000 appeals for hospitalization and other services. For this group, 4
pshichka [43]

Answer:

a) 0.0025 = 0.25% probability that none of the appeals will be successful.

b) 0.0207 = 2.07% probability that exactly one of the appeals will be successful.

c) 0.9768 = 97.68% probability that at least two of the appeals will be successful

Step-by-step explanation:

For each appeal, there are only two possible outcomes. Either it is succesful, or it is not. The probability of an appeal being succesful is independent of other appeals, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

45% of first-round appeals were successful.

This means that p = 0.45

Suppose 10 first-round appeals have just been received by a Medicare appeals office.

This means that n = 10

(a) Compute the probability that none of the appeals will be successful.

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.45)^{0}.(0.55)^{10} = 0.0025

0.0025 = 0.25% probability that none of the appeals will be successful.

(b) Compute the probability that exactly one of the appeals will be successful.

This is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{10,1}.(0.45)^{1}.(0.55)^{9} = 0.0207

0.0207 = 2.07% probability that exactly one of the appeals will be successful.

(c) What is the probability that at least two of the appeals will be successful

This is P(X \geq 2)

Either less than two appeals are succesful, or at least two are. The sum of the probabilities of these events is decimal 1. So

P(X < 2) + P(X \geq 2) = 1

P(X < 2) = P(X = 0) + P(X = 1) = 0.0025 + 0.0207 = 0.0232

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0232 = 0.9768

0.9768 = 97.68% probability that at least two of the appeals will be successful

6 0
3 years ago
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