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zvonat [6]
4 years ago
6

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

Mathematics
2 answers:
V125BC [204]4 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]4 years ago
3 0

Answer:

Step-by-step explanation:

The measure is 84 degrees

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In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot.
BabaBlast [244]

Answer: length of DE is about 3.3 ft

Step-by-step explanation:  A calculator is necessary!

DE is the unknown hypotenuse of the triangle

get the sine of 23° = 0.3907311285

Use the equation for sine

<em>sin = o/h</em> .

To find h,  Substitute values for sin and o.  O is EC, Opposite the 23° angle D

<em>0.3907311285 = 1.3/h</em> multiply both sides by h

h(0.3907311285) = 1.3 divide both sides by 0.3907311285

h = 1.3/0.3907311285

3.327096065 = h, the length of the hypotenuse, DE.

7 0
3 years ago
Help me please with This no need to explain
Softa [21]
The answer your looking for is D
7 0
3 years ago
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2. What are the next two terms of the following sequence?-2,4,-8, 16, ...
Marat540 [252]

Answer:

<h2>(A.B.)-32, 64</h2>

Step-by-step explanation:

-2\\(-2)(-2)=4\\(-2)(4)=-8\\(-2)(-8)=16\\-----------------\\(-2)(16)=-32\\(-2)(-32)=64\\\vdots

Each next term is created by multiplying the previous term by (-2).

3 0
3 years ago
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If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standar
skad [1K]

The sample standard deviation is (B) $3.16.

<h3>What is the sample standard deviation?</h3>
  • The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
  • The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
  • For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.

Therefore, the sample standard deviation is (B) $3.16.

Know more about sample standard deviation here:

brainly.com/question/475676


#SPJ4

The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

A. $4.67

B. $3.16

C. $1.96

D. $10.00

7 0
2 years ago
I NEED HELP IM IN CLASS RN PLEASEE HELP! WILL GIVE BRIANLIEST!
fgiga [73]

Answer:

y=x+12

Step-by-step explanation:

Well the slope is -4/-4 =1

We plug it into the formula, y=mx+b, but m=1

So it is y=1x+b

We know the points, so we plug y and x in which is:

-4=-4*4+b

-4=-16+b

b=12

So the point slope form of that is y=x+12

4 0
4 years ago
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