Find the distance between the two points rounding to the nearest tenth (if necessary).

What is the value of x? assume that the line is tangent to the circle

nekit [7.7K]

Answer:

70°

Step-by-step explanation:

Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.

From the figure, central angle AOB has the measure of 220°.

Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.

Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so

m∠OAB + m∠OBA + m∠AOB = 180°

m∠OAB = m∠OBA = 1/2 (180° - 140°)

m∠OAB = 20°

Since drawn line is tangent line, then OA is perpendicular to this tangent line and

x° = 90° - 20°

x° = 70°

4 0

2 years ago

EXTRA POINTS * how do you graph y=2x + 1

ahrayia [7]

Step-by-step explanation:

first u need to pick a random coordinate to substitute the X . example 0

y = 2(0) + 1

y =1 , X= 0

X= 1

y= 2(1) + 1

y= 3, X= 1

then you continue this same process and again until u have at least two points to draw a straight line. it kinda depended if u want to fill the entire graph.

3 0

3 years ago

A science fair poster is a rectangle 36 inches long and 24 inches wide what is the area of the poster in square feet

ella [17]

Well it has to be 3*2 = 6 square feet. Note: first convert 36 inches to 3 feet and 24 inches to 2 feet.

6 0

3 years ago

et y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppo

Mice21 [21]

The change in the total cost for each book printed is $10.

The cost to get started ( before any books are printed) is $1200

Step - by -step Explanation

What to find?

• The change in the total cost for each book printed.

,

• The cost to get started ( before any books are printed).

Given:

The given equation is 1200 + 10x = y

where x is the number of xopies of book printed and y is the total cost of publishing the book .

b) To obtain the cost to get started;

Substitute x = 0 into the given equation.

1200 + 10(0) = y

1200 = y

Hence, the cost to get started is $1200

a) To find the cost for each book;

Put x =1 in the given equation.

1200 + 10(1) = y

1210 =y

Change in cost for each book printed is 1210 - 1200 = 10

Hence, the change in the total cost for each book printed is $10.

5 0

1 year ago

The World Equity Index function shown contains two valuation metrics for the S&P 500. The Verizon description page contains

Nikitich [7]

Answer: Verizon is less expensive than the S&P 500 on both a P/E and dividend yield basis.

Step-by-step explanation:

When a Price to Earnings ratio is relatively high this means that the Price of the security is high because investors believe the company has good prospects.

When a Dividend Yield is relatively low, this means that the dividends being declared are quite lower than the price because Dividend yield is dividends as a percentage of security price. Lower Dividend Yields therefore mean high security prices.

Looking at the Verizon Chart and the S&P 500 you see that Verizon P/E ratio is 11.71 while S&P is 19.01.

This means that the price of Verizon's is less than S&P 500.

Also notice that Verizon's Dividend yield is 4.09% while S&P 500's is 1.91% again signifying that Verizon is cheaper.

I have attached the full question.

5 0

2 years ago