All categories

3 years ago

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle A? Show your work.

Mathematics

2 answers:

Vadim26 [7]3 years ago

8 0

Quadilateral inside circle follow these rules

sum of opposite angles is 180

so

B + D = 180

C + A = 180

x + 116 = 180

x = 180-116 = 64

A = 2×64 -40 = 128 -40
A = 88

Zinaida [17]3 years ago

5 0

Answer:

88°

Step-by-step explanation:

Angles B and D are supplementary, so the value of x is ...

x = 180° -116° = 64°

Then the measure of angle A is ...

(2x -40)° = (2·64 -40)° = 88°

The measure of angle A is 88°.

You might be interested in

The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm

klemol [59]

Answer:

$x^2-10x+18=0$

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

$20=2(x + w)$

Let's put w in terms of x. Divide both sides by two:

$10=x+w$

And solve for w:

$w=10-x$

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

$x^2+w^2=8^2$

Simplify and substitute:

$x^2+(10-x)^2=64$

Square:

$x^2+(100-20x+x^2)=64$

Isolate the equation. So:

$2x^2-20x+36=0$

Since the leading coefficient is one, divide both sides by two:

$x^2-10x+18=0$

Therefore, a = -10 and b = 18.

6 0

2 years ago

The circumference of one of the smaller circles is 12 cm. Find the circumference of the larger circle.

Juli2301 [7.4K]

The answer is b , 247 cm

7 0

3 years ago

Find the measure of angle a

Charra [1.4K]

Answer:

Step-by-step explanation:

lllljhgcvffhhggvgg

5 0

3 years ago

Read 2 more answers

Name a decimal between 0.4 and 0.5

Aliun [14]

To find a number between both decimals, what you can do is take the average of both numbers.

We have then:

$average = \frac{0.4+0.5}{2}$

Rewriting we have:

$average = \frac{0.9}{2} \\average = 0.45$

Therefore, the decimal obtained is a number between 0.4 and 0.5

Answer:

a decimal between 0.4 and 0.5 is:

$average = 0.45$

6 0

3 years ago

Read 2 more answers

Find surface area of the right angled triangular prism.

jeka57 [31]

A triangular prism has 5 faces, 3 being rectangular and 2 being triangular. The area of the rectangular faces can be found by multiply the base and height lengths together. The area of the triangular faces can be found by multiplying the base and height and dividing by 2.

6 0

3 years ago

Read 2 more answers