All categories

3 years ago

Quadrilateral ABCD is inscribed in a circle.

Mathematics

1 answer:

Lerok [7]3 years ago

6 0

In general, the sum of the measures of the interior angles of a quadrilateral is 360. This is true for every quadrilateral. This does not help here, because there are two angles (angles B and D) we know nothing about. We only know about opposite angles A and C.

In this case, you can use another theorem.
Opposite angles of an inscribed quadrilateral are supplementary.

m<A + m<C = 180

3x + 6 + x + 2 = 180

4x + 8 = 180

4x = 172

x = 43

m<A = 3x + 6 = 3(43) + 6 = 135

Answer: 135 deg

You might be interested in

The value of x and y of given equation by using cramer's rule; 2x-y=5, x-2y=1

Firdavs [7]

Answer:

x=3 and y=1

Step-by-step explanation:

First find the deteminant

That is ad-bc

ᵃ ᵇ

ᶜ ᵈ

5 0

4 years ago

The question is in the pictureee

Bogdan [553]

A. 12 centimetres.

Hope this helps!

3 0

4 years ago

Read 2 more answers

Value of the derivative of g(x)=8-10Cosx at 'x=0' is?

VLD [36.1K]

Answer:

g'(0) = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Pre-Calculus

Unit Circle

Calculus

Derivatives
Derivative Notation
The derivative of a constant is equal to 0
Derivative Property: $\frac{d}{dx} [cf(x)] = c \cdot f'(x)$
Trig Derivative: $\frac{d}{dx} [cos(x)] = -sin(x)$

Step-by-step explanation:

Step 1: Define

g(x) = 8 - 10cos(x)

x = 0

Step 2: Differentiate

Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
Simplify Derivative: g'(x) = 10sin(x)

Step 3: Evaluate

Substitute in x: g'(0) = 10sin(0)
Evaluate Trig: g'(0) = 10(0)
Multiply: g'(0) = 0

3 0

3 years ago

Plz help, The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

8_murik_8 [283]

Answer:

The real solutions of f(x)=0 are: 0, 2, 5, 6

Step-by-step explanation:

We are given:

The graph of y = f(x)

We need to find all of the real solutions of f(x) = 0?

By looking at the graph we need to find the values of y when x =0

Looking at the graph, when x=0 we get

0, 2,5 and 6

So, the real solutions of f(x)=0 are: 0, 2, 5, 6

I am attaching the figure, that determines the answers.

8 0

3 years ago

Find f(a-2) when f(x)= 2x^2 +3x

Zarrin [17]

Hopefully this helps

4 0

3 years ago

Quadrilateral ABCD ​ is inscribed in a circle.

Quadrilateral ABCD is inscribed in a circle.