All categories

2 years ago

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Sho

Mathematics

1 answer:

Alchen [17]2 years ago

6 0

Answer:

Top Left (<A) = 86 degrees // Top Right (<B) = 112 degrees // Bottom Left (<C) = 68 degrees // Bottom Right (<D) = 94 degrees

Step-by-step explanation:

So with inscribed quadrilaterals opposing corners are supplementery. This means they will add to 180 degrees. So first what we can do is set (x + 2) and (x - 6) equal to 180 ----> 2x - 4 = 180 ----> 2x = 184 ----> x = 92

So if x = 92 then <A = 86 degrees //// <B = 112 degrees //// <C must equal 68 degrees because <B and <C are supplementery //// <D = 94 degrees

You might be interested in

Consider the probability distribution shown below. x 0 1 2 P(x) 0.15 0.80 0.05 Compute the expected value of the distribution. (

larisa [96]

Answer:

Expected value =0.9

Standard deviation = 0.4359

Step-by-step explanation:

Let's use the formula to find expected value or mean.

Expected value =Σ x *P(x)

x 0 1 2

P(x) ) .15 .8 .05

So, expected value = (0)(0.15) +1(0.8)+2(0.05)

= 0 +0.8 +0.1

=0.9

Expected value =0.9

Now, let's find standard deviation

x $(x- E(x))^{2}$ $(x-E(x))^{2} *p(x)$

0 $(0-0.9)^{2}$ $(0-0.9)^{2} *0.15$ =0.1215

1 $(1-0.9)^{2}$ $(1-0.9)^{2} *0.8$ =0.008

2 $(2-0.9)^{2}$ $(2-0.9)^{2} *0.05$ =0.0605

Now, add the last column together and then take square root to find standard deviation.

Standard deviation of the distribution = $\sqrt{0.1215+0.008+0.0605)}$

Simplify it, so standard deviation =0.4358898...

Round the answer to nearest four decimal places

Standard deviation = 0.4359

7 0

3 years ago

What is 9.72 divided by 0.72

Thepotemich [5.8K]

Answer: 0.074

Step-by-step explanation:

It’s simple actually! Just do 0.72/9.72 and it gives you 0.074.

Hope this helps!

7 0

3 years ago

Read 2 more answers

HELP PLEASE !!!

Nostrana [21]

Answer: the answer is c

Step-by-step explanation:

5 0

3 years ago

4.63 repeated in simplest form ( please reply quickly)

Natasha_Volkova [10]

Answer:

4.63 as simplified fraction is

463/100

Step-by-step explanation:

4.63 as a fraction in simplest form

To convert 4.63 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

4.63/1

As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator

4.63 × 100

1 × 100

=

463/100

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:

4 63/100

4 0

3 years ago

A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true? A) ABCD is

Strike441 [17]

Selection A is appropriate.

Adjacent sides are neither perpendicular nor the same length, but the figure is a parallelogram.