All categories

2 years ago

Quadrilateral ABCD is inscribed in this circle.

Mathematics

1 answer:

murzikaleks [220]2 years ago

7 0

Answer:

C = 80

Step-by-step explanation:

A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.

It has 1 interesting property that should concern you: <B + <D = 180 degrees.

3x - 59 + 2x - 1 = 180 Combine like terms

5x - 60 = 180 Add 60 to both sides.

5x = 180 + 60

5x = 240

x = 240/5

x = 48

Now go to 2x + 4.

x = 48

A = 2*48 + 4

A = 96 + 4

A = 100

So C = 180 - 100

C = 80

You might be interested in

5*5<br> sjstrysjxryjxryj

Assoli18 [71]

The correct answer is 25

4 0

3 years ago

Read 2 more answers

The floor plan of a proposed auditorium shows a stage that measures 1.75 inches in width . The scale of the floor plan is 1 in =

Nikolay [14]

Answer:

31.5

Step-by-step explanation:

so if they say that every inch is realy 18 ft and u have 1.75 inches then multiply 8 by 1.75 to get the width of the stage

8 0

2 years ago

Here are the ingrediants needed make 8 pancakes.

vazorg [7]

I think Craig would need 7.5g of butter

8 0

2 years ago

Which one doesn't belong?

Karo-lina-s [1.5K]

Answer:

i would say C

Step-by-step explanation:

7 0

3 years ago

An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

$P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62$

$= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62$

$=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26$

We have to find the value of x such that the probability is 0.05

$P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26$

Thus, the numerical value of score to achieve grade B is

$76 \leq x \leq 89$

7 0

2 years ago

​Quadrilateral ABCD​ is inscribed in this circle.

Quadrilateral ABCD is inscribed in this circle.