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vovangra [49]
3 years ago
8

Line segment XY is tangent to circle Z at point U. Circle Z is shown. Line segment U V is a secant. Line segment X Y is a tangen

t and intersects the circle at point U. The measure of arc U V is 84 degrees. If the measure of Arc U V is 84°, what is the measure of Angle Y U V?
Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0

Answer: A.(42)

Step-by-step explanation: got it right on edg2020

Yuri [45]3 years ago
3 0

Answer:

138°

Step-by-step explanation:

∠YUV creates arc YV. Circle Z is made up of arc UV (84°) and arc YV. Solve for the measure of arc YV. (A circle equals 360°)

84° + x = 360°

arc YV = 276°

arc YV is formed from a secant and a tangent. Because of this ∠YUV is half of arc YV.

276° ÷ 2 = 138°

∠YUV = 138°

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How many terms of series 64+16+4 have the sum 5461\64?
umka2103 [35]

Answer:

5th term will approximate 5461/64

Step-by-step explanation:

5th term will approximate 5461/64

64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33

3 0
3 years ago
Suppose your statistics professor reports test grades as​ z-scores, and you got a score of 2.49 on an exam. ​(a) Write a sentenc
Oduvanchick [21]

Answer:

a) A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

b) 1.39% of the class scored lower than your​ friend.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

You got a score of 2.49 on an exam. ​

(a) Write a sentence explaining what that means

A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

(b) Your friend got a​ z-score of negative 2−2. If the grades satisfy the Nearly Normal​ Condition, about what percent of the class scored lower than your​ friend? ​

This percentage is the pvalue of Z = -2.2

So 0.0139 = 1.39% of the class scored lower than your​ friend.

7 0
3 years ago
Question 14 of 25
olga2289 [7]

Answer:46%

Step-by-step explanation:

Just took test

7 0
3 years ago
Read 2 more answers
Factor completely 3x2 + y. x(3x + y) y(3x2) xy(3x + 1) Prime
Rainbow [258]

Answer:

Option (d) is correct.

The given polynomial 3x^2+y is a prime polynomial.

Step-by-step explanation:

Given : 3x^2+y

We have to factorize it completely.

Since , factorization is the process of reducing a given polynomial into a lower degree polynomial by taking common factors out into the simplest form.

Consider the given polynomial 3x^2+y

Since the given polynomial do not have any term common in both terms .

So we cannot factorized it further.

So, the given polynomial 3x^2+y is a prime polynomial.

Thus, Option (d) is correct.

 

5 0
3 years ago
Read 2 more answers
Seven tenths of a number plus fourteen is less than forty-nine
zloy xaker [14]
I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

n < 50

The answer is n < 50


5 0
3 years ago
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