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zvonat [6]
3 years ago
6

Angle A is circumscribed about circle O. What is the measure of angle A?

Mathematics
2 answers:
V125BC [204]3 years ago
6 0

Given:

Angle A is circumscribed about circle O.

m∠CDB = 48°

To find:

The measure of angle A.

Solution:

OC and OB are radius of circle O.

AC and AB are tangents of circle O.

The angle between tangent and radius is always 90°.

⇒ m∠OCA = 90° and m∠OBA = 90°

The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

⇒ m∠COB = 2 × m∠CDB

⇒ m∠COB = 2 × 48°

⇒ m∠COB = 96°

Sum of all the angles of quadrilateral is 360°.

m∠BAC + m∠OCA + m∠COB + m∠OBA = 360°

m∠BAC + 90° + 96° + 90° = 360°

m∠BAC + 276° = 360°

Subtract 276° from both sides.

m∠BAC = 84°

The measure of ∠A is 84°.

jenyasd209 [6]3 years ago
3 0

Answer:

Step-by-step explanation:

The measure is 84 degrees

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lesya [120]

Answer: The number is 0.75 or 3/4

Step-by-step explanation:

let x = the number.

Now set up an equation: The product of a number (x) and -4 = -4x. So -4x is subtracted from the number - x.     x-(-4x)

Then, that equals 3 more than the number (x) = x+3

So the equation is x-(-4x)=x+3.

Then, solve the equation!

x-(-4x)=x+3

x+4x=x+3  (Distribute the negative to the parentheses)

5x=x+3  (Combine like terms)

4x=3  (Get the Xs on one side by subtracting x from both sides)

x=0.75 or 3/4  (divide by the coefficiant, 4, on both sides)

3 0
3 years ago
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Please help ASAP thank youu!!
Gennadij [26K]

Answer:

1. (-5)

Step-by-step explanation:

Here you go, glad to help :)

4 0
3 years ago
An exponential function f(x) = ab^xpasses through the points (0, 2) and (3, 54). What are the values of a and
Vsevolod [243]

Answers:

a = 2

b = 3

=======================================================

Explanation:

Plug in x = 0 and y = 2 to find that

y = a*b^x

2 = a*b^0

2 = a*1

2 = a

a = 2

Then plug in x = 3 and y = 54 to determine the value of b

y = a*b^x

y = 2*b^x

54 = 2*b^3

2b^3 = 54

b^3 = 54/2

b^3 = 27

b = (27)^(1/3)

b = 3

So we have y = a*b^x update to y = 2*3^x

7 0
2 years ago
Answer it answer it answer it
Usimov [2.4K]

Answer:

The correct option is;

C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2

Step-by-step explanation:

The area of the square frame is the area of the inner square subtracted from the area of the outer square

Which gives;

52.2² - 47.8² = 440

Therefore;

Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame

Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is  a correct way of finding the area of the square frame

Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame

The error is the thickness is 2.2 not 4.4

Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440,  is  a correct way of finding the area of the square frame

5 0
2 years ago
Please help me out please
mariarad [96]

Answer:

1.) \\625^2 Ft.\\\\2.)\\306^2Ft.\\\\3.)\\18,750^2 Ft.\\

Step-by-step explanation:

1.) \\25*25=625\\\\2.) \\(103*2)+(50*2)=\\206+100=306\\\\3.) \\750*25=18,750

8 0
2 years ago
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