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3 years ago

Quadrilateral ABCD is inscribed in this circle.

Mathematics

2 answers:

lawyer [7]3 years ago

5 0

180 °- 121°

= 59°

the answer is 59°

77julia77 [94]3 years ago

5 0

Answer:

The measure of the ∠A is 59°.

Step-by-step explanation:

It is given that a quadrilateral ABCD is inscribed in a circle, and from the properties of circle, we know that the sum of the opposite angles of the quadrilateral inscribed in the circle is equal to 180°.

Therefore, ∠A+∠C=180°

⇒ $A+121^{\circ}=180^{\circ}$

⇒ $A=180-121$

⇒ $A=59^{\circ}$

Therefore, the measure of the ∠A is 59°.

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How to go from sum of products to product of sums?

irina [24]

Multiplication gives us distribution over the products, so

(a′+b+d′) (a′+b+c′+f′) = a′ (a′+b+c′+f′) + b (a′+b+c′+f′) + d′ (a′+b+c′+f′)

And then you can then distribute again each of the factors on the right.

Then you should simplify in any given number of ways. To take as an example, you have a′b and ba′, and since a′b + a′b = a′b + a′b = a′b, you can just drop one of them. Since bb = b, you can rewrite bb as b and etc.

So in the end part we should arrive at a sum of products. Then you can just invert. For example, if at the end you had:

p′ = a′b + bc′ + d′f ′+ a′f′

Then we would have

p = p′′ = (a′b + bc′ + d′f′ + a′f′)′ = (a′b)′⋅(bc′)′⋅(d′f′)′⋅(a′f′)′

Then applying De Morgan's laws to each of the factors, e.g., (a′b)′ = a+b′, so we would have

p = (a+b′)⋅(b′+c)⋅(d+f)⋅(a+f)

which is a product of sums.

6 0

4 years ago

A computer can sort x objects in t seconds, as modeled by the function below: t=0.007x^2+0.003x. How long, in seconds, will it t

AlekseyPX

X objects in t seconds.....how long to sort 15 objects....so x = 15

t = 0.007(15^2) + 0.003(15)
t = 0.007(225) + 0.045
t = 1.575 + 0.045
t = 1.62 seconds <===

4 0

4 years ago

Please help! i need to submit this today!!!

guapka [62]

Answer:

31.5 cubic feet

Step-by-step explanation:

the formula to find the volume of a rectangular prism is v = <em>whl</em>

w = width

h = height

l = length

(3.5)(2)(4.5) = 31.5

8 0

4 years ago

Calculate the shaded portion #1

aliya0001 [1]

Answer:

58.875

Step-by-step explanation:

use the big are - samll area

3.14×5^2-3.14×2.5^2=58.875

3 0

3 years ago

Read 2 more answers

will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in adv

Natalka [10]

Answer:

$Equation = \frac{35}{100} * 800$

Step-by-step explanation:

<em>The options are not well presented; however, the solution is as follows</em>

Given

Number of tickets = 800

Advanced = 35%

Required

Equation to find tickets sold in advance

To get the number of tickets sold in advance, we simply multiply the percentage ticket by the total tickets;

The equation becomes

$Equation = 35\% * 800$

Convert percentage to decimal

$Equation = \frac{35}{100} * 800$

Solving further to get the actual tickets sold

$Advance = 35 * 8$

$Advance = 280$

5 0

3 years ago