Mathematics College

Using the diagram, calculate the values of the unknown variables: a, b, and c.

Answers

Answer 1

Answer:

a = 82

b = 130

c = 118

Step-by-step explanation:

A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

a° + 98° = 180°

a° = 180° - 98°

a° = 82°

a = 82

By inscribed angle theorem:

a° = 1/2(b° + 34°)

82° * 2 = b° + 34°

164° - 34° = b°

b° = 130°

b = 130

Again by inscribed angle theorem:

76° = 1/2(c° + 34°)

76° *2 = c° + 34°

152° - 34° = c°

c° = 118°

c = 118

Related Questions

A certain store sells only T-shirts. Let the random variable X represent the number of T-shirts bought from the store on any day, with a mean of 75 and a standard deviation of 20. Let the random variable Y be the total revenue from this store on a randomly selected day. If the store charges $15 per T-shirt, what are the mean and standard deviation of Y

Answers

Answer:

[tex](a)\ \mu_y = 1125[/tex]

[tex](b)\ \sigma_y = 300[/tex]

Step-by-step explanation:

Given

[tex]\mu_x = 75[/tex] -- Mean of T-shirts

[tex]\sigma_x = 20[/tex] -- Standard deviation of T-shirts

[tex]Rate = \$ 15[/tex]

Solving (a): The mean of the revenue [tex](\mu_y)[/tex]

To solve this, we use:

[tex]\mu_y = Rate * \mu_x\\[/tex]

This gives:

[tex]\mu_y = 15 * 75[/tex]

[tex]\mu_y = 1125[/tex]

Solving (b): The standard deviation of the revenue [tex](\sigma_y)[/tex]

To solve this, we use:

[tex]\sigma_y = \sqrt{Rate^2 * \sigma_2^2}[/tex]

This gives:

[tex]\sigma_y = \sqrt{15^2 * 20^2}[/tex]

[tex]\sigma_y = \sqrt{90000}[/tex]

[tex]\sigma_y = 300[/tex]

a bag contains 8 red marbles, 4 blue marbles, and 5 white marbles. Tom picks two marbles at random, without replacement. What is the probability that Tom picks two blue marbles?

Answers

Answer:

11.76% rounded to place value

Step-by-step explanation:

Add all values to get 17. 2 / 17 = 0.117647...... 11.76% chance

Evaluate the expression when m=6 and n=9 n+8m=

Answers

57

explanation: n+8m= (9)+8(6) = 9+48 = 57

answer: 57

step by step- n+8m=(9)+8(6)=9+48=57

A toothpaste advertises that 30% of stains are removed after 1 week. As Alexa is brushing her teeth, she thinks "after 2 weeks, 60% of stains will be gone, and 90% after three weeks".

Using this reasoning, what percent of stains will be gone after four weeks? Does this result make sense? Why or why not?

Answers

Answer:

120%. doesn't make sense because there's nothing above 100%

Need help plzzzz thank you brainest will be rewarded

Answers

Answer:

look I dont know the answer

Step-by-step explanation:

but look their is an aapp called MATH installed it and w you will get the answer

4. a) the sum of 30 and 100 is 130
100+30=130
$99. 100%
$X. 130%
X=99•130/100
X=12870/100
X=128.70$

4 b) If X is increased price
99•(130:100)=X
99•1.3=X
Equality:
99•(130:100)=99•1.3
99•1.3=99•1.3

5
a) AB=8X
Reduction of 40%
40%=4/10=2/5
AB’ =8X•2/5
AB’=16X/5

b) AC=6X
AC’ =6X•2/5
AC’=12X/5

c) CB? Can’t see the vector
CB= 2X+10
CB’ = 2X+10•2/5
CB’ = 2(2X+10)/5
CB’ = 4X+20/5

d) P of reduced triangle
P’ = AB’ + AC’ + CB’
P’ = 16X/5+12X/5+4X+20/5 all sides have same denominator of 5 therefore we can add them up,
P’ = 16X+12X+4X+20 all over 5
P’ = 32X+20/5=4(8X+5)/5

Good luck.

PLEASE HELPPP! I'LL GIVE BRAINLEST

Answers

Answer:

hiiio......

Step-by-step explanation:

b)8 boxes...

267.4 divided by 1\10

Answers

Answer:

2674

Step-by-step explanation:

267.4 divided by 1/10 is the same as 267.4/.10 which you can use a calculator and solve that easly.

Or you can do 267.4/1 times 10/1 because when you are dividing, you flip the second number and mutply instead of divide. And when doing that, the answer is the same.

Chris drinks 3 pints of milk a day. How much is this in cups?

Answers

Answer:

He drinks 6 cups a day.

Step-by-step explanation:

1 pint - 2 cups

3 x 2 = 6

Hey, so I really put a lot of time and effort in my answers, so if you can, could you please give me a "Brainliest" because I really want to rank up! Thank you so much for the points, and I hope the answer helped you!!! :)

Answer:

6 cups.

Step-by-step Explanation:

1 pint is equal to 2 cups.

Therefore, 3 pints of milk is equal to 2 cups of milk.

Find the area of the Composite shape.

Answers

Get the permiter of both shapes then divide

A coin and a number cube with the numbers 1 through 6 are tossed. What

is the probability of the coin showing tails and the number cube showing

the number 3?

a. 1/12

b. 1/4

c. 1/8

d. ½
with some justification please

Answers

Answer:

yes

Step-by-step explanation:

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Ela is building a fence around her yard. She is
using boards that are 0.44 feet wide. She needs
enough boards to build 99 feet of fence. She will
place the boards side by side.
How many boards will Ela need?

Answers

Answer:

225 boards

Step-by-step explanation:

99 ft/0.44 ft = 225 ft

Please answer this I need this answer today God bless America and have a good day! Organize the following facts from the book “Words to Save the World” into the appropriate categories. put the sentence in the boxes that goes together from problems and solutions

Answers: Chemical companies tried to discredit Rachel and her work.

Rachel decided to work alone.

Rachel wrote a book called Silent Spring to make people aware of environmental problems.

The assistants worked too slowly.

[Problem] and [Solution]

Answers

Answer:

problems

Chemical companies tried to discredit Rachel and her work.

The assistants worked too slowly.

solutions

Rachel decided to work alone.

Rachel wrote a book called Silent Spring to make people aware of environmental problems.

Step-by-step explanation:

The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

(a+2)
(a+5)
(a−2)
(a−5)

Answers

Answer:

(a+2)

Step-by-step explanation:

a²+7a+10 = (a + 5) (a + 2)

a + 5

X 5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10

a + 2

______

(a + 5) (a + 2)

Answer:

Step-by-step explanation:

pls help find area and perimeter

Answers

Answer:

A is 14 and P is 17

Step-by-step explanation:

working is above mentioned

Erin competes in track meets. She has won blue ribbons and red ribbons. For every 3 blue ribbons she has won, she has won 2 red ribbons. At this rate, how many red ribbons will Erin have won after she has won 9 blue ribbons?

Question 9 options:

6 red

4 red

5 red

11 red

Answers

Answer:

the answer is A. 6 red

Step-by-step explanation:

3*3=9 3*2=6

The irrational number square root 67 is greater than [blank]

Answers

Answer:

The irrational number square root 67 is greater than whole number 8

Step-by-step explanation:

Given

[tex]\sqrt{67[/tex]

Required

Complete the sentence

No options are given.

So, we will solve the expression then compare it with the nearest smallest integer

First, we solve the given expression

[tex]\sqrt{67[/tex]

[tex]\sqrt{67} \approx 8.185[/tex]

By comparison:

[tex]8.185 > 8[/tex]

This implies that, the blank will be completed with 8

The recipe for a fruit salad calls for 5 bananas, 3 peaches, 2 apples, 1 pear, 8 strawberries, 1 cantaloupe, and 2 oranges. What is the ratio of peaches to the total?

Answers

Answer:

3/22

Step-by-step explanation:

add all fruits together-

5+3+2+1+8+1+2

8+3+9+2

11+11

there are 3 peaches. Ratio- peaches/total

Ratio- 3/22

Hope this helps. Have a nice day you amazing bean child.

Answer:

3/22

Step-by-step explanation:

also hi

Factor k3 + 1 completely.

Answers

Answer:

(k+1)(k²-k+1)

Step-by-step explanation:

!! IMPORTANT !!
Is it me or have i've been recently getting: "E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

or something like that in all of my questions I ask in brainly. its driving me crazy
:/

Answers

Answer:

Same

Step-by-step explanation:

I have been getting that too, its annoying bc I can't download it :(

someone please help me answer this

Answers

Answer:

32 kilometers

Step-by-step explanation:

65 - 33 = 32 kilometers

Hope this helps

Answer:

b = 56km is the answer.

Step-by-step explanation:

a (Northbound train) = 33km

b (Eastbound train) = ?

c (Distance between them) = 65km

According to the Pythagorean theorem,

a² + b² = c²

33² + b² = 65²

1089 + b² = 4225

b² = 4225 - 1089

b² = 3136

b = 56km

∴ the eastbound train has travelled 56km.

Inequality of t+250+800

Answers

Answer:

2983839i8

468393749493948

Hsjejrhrjjh4u4i84748394

Je83847483

373783838383884

373838383

Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff

What is the perimeter??

Answers

Answer:

soma tudo se n for multiplica

Does anyone know what the answer please???

Answers

Answer: 8

As you can see, ABCD is similar to FECG which means its just a bigger or smaller version of the other. The sides change by a specific amount like times 2 or divided by 2

In this case abcd is 2x bigger thab fecg. You can see this by the side BC being 10 and it is the same side on the other shape being 5 so you know FECG is just ABCD x 1/2

Because of this since we know what FG is (4) on FECG we know y is 2x that side so it is 8.

Find the area of the composite figure

Answers

Answer:

196 ft

Step-by-step explanation:

Bc im guessing

Mark as smartest and Brainliest

3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial

Answers

Answer:

Step-by-step explanation:

A quadratic trinomial has the form of ax² + bx + c

e.g. 3x² + 4x + 2

A quadratic binomial has the form of ax² + bx

e.g. 3x² + 4x

A cubic binomial has the form : ax³ + bx

3x³ + 4x

Ray feeds his dog 0.12 kilogram of dry dog food each day. How many kilograms of dry dog food does Ray need to feed his dog for the month of March? (March has 31 days.)

Answers

Answer:

amount of food feed each day is 0.12 kg

amount of food required to feed in March( 31 days) is 0.12*31

the answer is 3.72kg

0.21x31
=6.51kg
Ray need to feed his dog 6.51kg for the month of March.

If Sherry saves one-eighth of her paycheck and places it in a savings account, and each paycheck is $450,
then how much does she save?

Answers

Answer:

$56.25

Step-by-step explanation:

450/8=56.25

Write an equation of the line. (-2, 5), (5, -2)

Answers

Answer:

-2 x 5=10

Step-by-step explanation:

Base is 4 1/2 and height is 2 2/3, what is the area

Answers

Answer:

Step-by-step explanation:

have a good day/night

may i please have a branlliest\

sorry if it wrong

Mr. Benson must give each child 3/12 of a pizza. She is feeding 8 children. How much pizza does Mr. Benson need to make.

Answers

Answer:

2 pizzas to feed 8 children

Step-by-step explanation:

3/12 simplified is 1/4

this means that with one pizza you can feed four children.

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