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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°.

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36a^2+24b^2=12( +2b^2)

vlabodo [156]

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7 0

2 years ago

Discrete MathA coin is flipped four times. For each of the events described below, express the event as a set in roster notation

Vladimir79 [104]

Answer:

a) 25%

b) 50%

c) 87.5%

Step-by-step explanation:

There are $2^4 = 16$ number of outcome in total.

a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.

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b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%

- HHHH

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- HHTT

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c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%

- HHHH

- HHHT

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6 0

2 years ago

Jerome will also order t-shirt for the volunteers he will order both adults and child size t shirt

RideAnS [48]

a >= 200

5 a + 2.5 c <=1500

Step-by-step explanation:

Step 1 :

Let c be the number of child t shirt and a be the number of adult t-shirts

Given the cost of adult t-shirt is $5 and the cost of child t-shirt is $2.50

Step 2 :

Inequality 1

Given that Jerome needs at least 200 adult t-shirts .

So the minimum quantity of adult t-shirts should be 200

Hence we have a >= 200

Step 3 :

Inequality 2

Given that the total cost should be less that $1500

We have,

5 a + 2.5 c <=1500

5 0

2 years ago

Read 2 more answers

I will show the options, for example how I wish it to be is like, "1 Acute" something like that, I will show you the answers.

Olin [163]

Answer:

1. Acute

2. Obtuse

3. Isosceles

7 0

2 years ago

Read 2 more answers

A farm packages eggs into cartons that hold two dozen eggs each. Last week, 5,398 eggs were collected. How many cartons will the

Sonbull [250]

Answer:

225

Step-by-step explanation:

We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:

$\frac{5398}{24} = 224.916667$

Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.

4 0

2 years ago