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3 years ago

Write a proof paragraph for the inscribed angle theorem

Mathematics

2 answers:

Minchanka [31]3 years ago

7 0

Answer:

Proving that an inscribed angle is half of a central angle that subtends the same arc.

Case C: The diameter is outside the rays of the inscribed angle.

Step 1: Get clever and draw the diameter.

Step 2: Use what we learned from Case A to establish two equations.

Step 3: Substitute and simplify.

ratelena [41]3 years ago

3 0

Answer:

tatlo po yan paki scroll na lamg po

Step-by-step explanation:

brainliest pls po

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Please show working out thanks

IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0

3 years ago

Set up a system of equations and then use your calculator to solve: In triangle ABC, the sum of angles and c is equal to three t

aalyn [17]

Answer:

Step-by-step explanation:

angle A = 40

angle B = 60

angle C = we don't know.

A + B + C = 180

C = 180 - A - B

C = 180 - 40 - 60

C = 80

40 + 60 + 80 = 180

180 = 180...It checks!

4 0

3 years ago

Please help due today!

Scrat [10]

Answer:

Polygon, quadrilateral, convex, and equilateral.

Step-by-step explanation:

8 0

3 years ago

3. if y varies directly as x and y=23.1 when x=36.3, find y when x=11.

STatiana [176]

Answer:

the answer is 5 because thats the varible

Step-by-step explanation:

8 0

3 years ago

A raffle offers one $8000.00 prize, one $4000.00 prize, and five $1600.00 prizes. There are 5000 tickets sold at $5 each. Find t

Harman [31]

Answer:

The expectation is $E(1 )= -\$ 1$

Step-by-step explanation:

From the question we are told that

The first offer is $x_1 = \$ 8000$

The second offer is $x_2 = \$ 4000$

The third offer is $\$ 1600$

The number of tickets is $n = 5000$

The price of each ticket is $p= \$ 5$

Generally expectation is mathematically represented as

$E(x)=\sum x * P(X = x )$

$P(X = x_1 ) = \frac{1}{5000}$ given that they just offer one

$P(X = x_1 ) = 0.0002$

Now

$P(X = x_2 ) = \frac{1}{5000}$ given that they just offer one

$P(X = x_2 ) = 0.0002$

Now

$P(X = x_3 ) = \frac{5}{5000}$ given that they offer five

$P(X = x_3 ) = 0.001$

Hence the expectation is evaluated as

$E(x)=8000 * 0.0002 + 4000 * 0.0002 + 1600 * 0.001$

$E(x)=\$ 4$

Now given that the price for a ticket is $\$ 5$

The actual expectation when price of ticket has been removed is

$E(1 )= 4- 5$

$E(1 )= -\$ 1$

4 0

3 years ago