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3 years ago

HELP ME GUYS I AM ILLITERATE find the size of unknown angle

Mathematics

2 answers:

Nadusha1986 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

ΔAOC is an isosceles triangle as OC = OA ----> RADIUS

42 + 42 + ∠AOC = 180 {Angle sum property}

84 + ∠AOC = 180

∠AOC = 180 - 84

∠AOC = 96°

y = 96/2 {Central angle theorem}

y = 48° ------------(I)

∠B + ∠D = 180 {sum of opposite angles of Cyclic Quadrilateral}

x + y = 180

x + 48 = 180 {from (I) }

x = 180 - 48

x = 132°

Vlada [557]3 years ago

3 0

Answer:

x = 132°

Step-by-step explanation:

ΔAOC is an isosceles triangle as OC = OA ----> RADIUS

42 + 42 + ∠AOC = 180 {Angle sum property}

84 + ∠AOC = 180

∠AOC = 180 - 84

∠AOC = 96°

y = 96/2 {Central angle theorem}

y = 48° ------------(I)

∠B + ∠D = 180 {sum of opposite angles of Cyclic Quadrilateral}

x + y = 180

x + 48 = 180 {from (I) }

x = 180 - 48

x = 132°

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2 years ago

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Ingrid makes quilts in designs that follow a specific pattern. The first three designs are shown. In designs, the white blocks r

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The number of white and grey blocks in the quilts follows a sequence given by the Design number of the quilt

The numbers and patterns of the blocks are;

a. Patterns;

The height of the white blocks is the Design number, while the rows are one more than the design number

The height of the outer grey blocks is 2 blocks more than the Design number, while their rows are 3 blocks more than the Design number

b. The function is $\underline{p(n) = n \cdot (n + 1)}$

c. The function is $\underline{b(n) = (n + 2) \cdot (n + 3) - n \cdot (n + 1)}}$

d. $\underline{t(n) = (n + 2) \cdot (n + 3) = b(n) - p(n) }$

e. The design chosen is Design 9

The number of blocks is 132 blocks

Reasons:

The pattern of the design are;

a. The column height of the grey blocks = 2 blocks more than the column height of the white blocks

Width of the outer grey blocks = 2 blocks more than the width of the inner white blocks

The number of white blocks in a design, n is the product of n and (n + 1)

The number of grey blocks in a design n, is the product of (n + 2) and (n + 3) less the number of white blocks in the design

b. Based on the above, the function that represent the number of picture blocks in Design n, is therefore;

p(n) = n·(n + 1)

c. Based on the above, the function that represent the number of border blocks in Design n, is therefore;

b(n) = (n + 2)·(n + 3) - n·(n + 1)

d. The total number of blocks, t(n) = (n + 2)·(n + 3)

t(n) = (n + 2)·(n + 3) - n·(n + 1) + n·(n + 1)

t(n) = p(n) + b(n)

e. The given number of picture blocks = 90

The number of picture blocks in a design, n = n × (n + 1)

Therefore, given that the number of picture blocks is 90, we have;

90 = n × (n + 1)

n² + n - 90 = 0

(n + 10)·(n - 9) = 0

n = 9, or n = -10

Therefore, the design museum chooses is Design 9

The total number of blocks in a quilt design, t(n) = (n + 2)·(n + 3)

Total blocks in the design the art museum choses, t(9), is given as follows;

t(9) = (9 + 2)·(9 + 3) = 132 blocks

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2 years ago

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3 years ago

Which statement is true about Trapezoids ABCD and DEFG.?

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3 years ago

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A jar contains 38 red marbles numbered 1 to 38 and 38 blue marbles numbered 1 to 38 a marble is drawn at random from the jar

liq [111]

Answer:

$P(Red) = 0.50$ '

$P(Odd) = 0.50\\$

Step-by-step explanation:

Given

$Red = 38$

$Blue = 38$

Required (Missing part of the question)

(a) The marble is red. (b) The marble is odd-numbered

Solving (a): Probability of Red.

This is calculated as:

$P(Red) = \frac{Red}{Total}$

$P(Red) = \frac{38}{38+38}$

$P(Red) = \frac{38}{76}$

$P(Red) = 0.50$

Solving (b): Probability of Odd

Since each marble type is numbered 1 to 38, then half of it are odd.

i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.

So, the probability of odd is:

$P(Odd) = \frac{Odd}{Total}$

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3 years ago