All categories

3 years ago

Quadrilateral ABCD is inscribed in a circle. Angle B measures 19°. What is the measure of angle D?

Mathematics

1 answer:

kherson [118]3 years ago

5 0

Answer:

$D = 161^o$

Step-by-step explanation:

Given

$\angle B = 19^o$

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

$B + D = 180^o$ ---- opposite $sides$ of a $cyclic \\$ quadrilateral

Make D the subject

$D = 180^o -B$

$D = 180^o -19^o$

$D = 161^o$

You might be interested in

g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d

professor190 [17]

Answer:

The variance and standard deviation of X are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - X) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable X is defined as, X = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

$P (X)=\frac{4}{20}=0.20$

A random sample of n = 3 items are selected at random.

The random variable X follows a Binomial distribution with parameters n = 3 and p = 0.20.

The variance of a Binomial distribution is:

$V(X)=np(1-p)$

Compute the variance of X as follows:

$V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48$

Compute the standard deviation (σ (X)) as follows:

$\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693$

Thus, the variance and standard deviation of X are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

$V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48$

Compute the standard deviation of (20 - X) as follows:

$\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693$

Thus, the variance and standard deviation of (20 - X) are 0.48 and 0.693 respectively.

3 0

3 years ago

Can All mixed numbers can be renamed as decimals?

ohaa [14]

Answer:

We can convert a mixed number (or mixed fraction) to a decimal. Strategies to convert mixed fractions to decimals: Change the mixed fraction to an improper fraction and then divide. Convert the fractional part only and then add it to the whole number.

8 0

2 years ago

Read 2 more answers

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa

yarga [219]

Answer:

[c] The value of w cannot be a negative number.

[d] Substitution is used to replace the variable l with a value of 20.

[e] The subtraction property of equality is used to isolate the term with the variable w.

Step-by-step explanation:

To figure out which steps of the solution are true, let us solve.

2 l plus 2 w equals 62 -> 2l + 2w = 62

----

2l + 2w = 62

2(20) + 2w = 62 <- Substitution is used to replace the variable l with a value of 20.

40 + 2w = 62

2w = 22 <- The subtraction property of equality is used to isolate the term with the variable w.

w = 11

This means that the value of w is not 10 feet so the first option is incorrect. This shape is a rectangle, so the value of w cannot be 0. Since we cannot have a negative measurement, option three is incorrect. This leaves us with the last three options as our answer, shown by the work above.

Read more about this question here:

brainly.com/question/12856278

6 0

2 years ago

5280 x 13 = FREE BRAINLIST EVEN THO I KNOW THE ANSWER

lara [203]

Answer:

Step-by-step explanation:

5280*13= 68640

4 0

3 years ago

Read 2 more answers