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gladu [14]
3 years ago
15

I will NAME YOU THE BRAINIEST

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

Since the quadrilateral is inscribed in the circle, the opposite angles add to 180.

<V+ <B = 180

74+ <B = 180

Subtract 74 from each side

74-74+ <B = 180-74

<B = 106

We now need to find arc AB

Arc AC is 2* <V = 2*74 =154

We know arc AC = arc AB + arc BC

                 154 = arc AB + 86

Subtract 86 from each side

                154-86 = arc AB + 86 -86

                  68 = arc AB

Aleonysh [2.5K]3 years ago
5 0

Answer:

Arc AB = 62°

Angle B = 106°

Step-by-step explanation:

Angle V + Angle B = 180

(Opposite angles add up to 180)

74 + Angle B = 180

Angle B = 106°

Let O be the centre of the circle.

Angle OBC = (180-86)/2 = 47°

Angle BOA = 106 - 47

= 59° = Angle AOB

Angle Arc AB = 180 - 2(59) = 62°

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3 years ago
Read 2 more answers
1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 number
barxatty [35]

Answer:

1/8 ;

12 / 51

Step-by-step explanation:

To select any 5 numbers out of 40

Number of selection required / total numbers

Probability of winning = 5 /40 = 1/8

Total number of socks = 18

White, W = 8

Black, B = 6

Blue, C = 4

probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

P(B) * [(P(C) + P(W)]

Probability = required outcome / Total possible outcomes

P(B) = 6 / 18 = 1/3

Without replacement :

P(W or C) = 8/17 + 4/17 = 12/17

Hence,

1/3 * 12/17

= 12 / 51

8 0
3 years ago
2. If f(x) = 2X^2 + 3X Find f(-5)
IgorLugansk [536]

Answer:

35

Step-by-step explanation:

2(-5)^2+3(-5)

=2(25)+(-15)

=50-15

=35

PLS GIVE BRAINLIEST

4 0
3 years ago
The area of a rectangle is 265.5 m2. If the length is 18 m, what is the perimeter of the rectangle?
julia-pushkina [17]

Answer:

65.5 m

Step-by-step explanation:

Step 1. Find the width of the rectangle.

The formula for the area of a rectangle is

A = lw

Data:

A = 265.5 m²

l =     18    m

Calculation:

265.5 = 18w

w = 265.5/18 = 14.75 m

Step 2. Calculate the perimeter

The perimeter (P) of a rectangle is the sum of the lengths of its sides.

P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m

The perimeter of the rectangle is 65.5 m.

4 0
4 years ago
Identify the value of b. PLEASE HELP!!
Degger [83]

Answer:

  b = 18

Step-by-step explanation:

From an external point, the products of distances to the near circle intercept and the far circle intercept are the same. For a tangent, such as AC, point A is both the near and far intercept point, so that product is the square of the length of AC.

  (AC)² = (CG)(CV)

  b² = 12·27 = 324 . . . . substitute known values

  b = √324 . . . . . . . . . . take the square root

  b = 18

7 0
3 years ago
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