MATHEMATICS COLLEGE

Find the size of angle x.

Answers

Answer 1

Answer:

Answer:

111°

Step-by-step explanation:

By exterior angle theorem:

$x = 82 \degree + 29 \degree \n = 111 \degree$

Answer 2

Answer:

Answer:

x = 111

Step-by-step explanation:

180- 82 -29 is 69 and 180-69 is x which x is equal to 111

Related Questions

The use of social networks has grown dramatically all over the world. In a recent sample of 24 American social network users and each was asked for the amount of time spent (in hours) social networking each day. The mean time spent was 3.19 hours with a standard deviation of 0.2903 hours. Find a 99% confidence interval for the true mean amount of time Americans spend social networking each day
Penny reads 13 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page? How many hours per page
10x² - 43x+28How do you factor this
What is the absolute value of -3
Tom is the deli manager at a grocery store.He needs to schedule employees to staff the deli department at least 260 person-hours per week.Tom has one part-time employee who works 20 hours per week.Each full-time employee works 40 hours per week.Write an inequality to determine f, the number of full time employees Tom must schedule, so that his employees will work at least 260 person-hours per week. Solve and graph. !PLEASE HELP!

Use the technique developed in this section to solve the minimization problem. Minimize C = −3x − 2y − z subject to −x + 2y − z ≤ 20 x − 2y + 2z ≤ 25 2x + 4y − 3z ≤ 30 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) = .

Answers

Answer:

C= -145, (35/4, 295/8, 45)

Step-by-step explanation:

Use Gaussian elimination to find the values of x, y and z

Eq 1: -x+2y-z=20

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

Multily Eq1 by 1 and add to Eq 2

Eq 1: (-x+2y-z=20 ) × 1

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

Eq2: z= 45

Eq 3: 2x+4y-3z=30

Multiply Eq 1 by 2 and then add to Eq 3

Eq1: (-x+2y-z=20 ) × 2

Eq2: z= 45

Eq3: 2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

Eq2: z= 45

Eq3: 8y-5z= 70

swap Eq 2 and Eq 3

Eq 1: -x+2y-z=20

Eq 3: 8y-5z= 70

Eq 2: z= 45

Solve Eq 2 for z

Z=45

solve Eq Eq 3 for y.

y= 295/8

Using the value z=45 and y= 295/8, substitue in Eq 1 to get value of x

x= 35/4

Substitue values of x,y and z in C= -3x-2y-z to get minimum value of C

C= -145

A sinusoidal carrier wave is used in the modulation process to move the information signal to a higher frequency for transmission. Identify the carrier variable(s) that can be modified to represent the original information signal. g

Answers

Answer:

A - amplitude

f - frequency

Q - phase

Step-by-step explanation:

A sinusoidal carrier wave can be represented as follows: f(x) = Acos(2pi*f + Q)

So to represent the original information, you can modify the following variables mentioned above. If they looking for just one variable, then use the frequency.

6. Jefferson has $30,000 property damage insurance and comprehensive/collision insurance with adeductible of $1,000. He crashes into a house causing $40,000 damage to the house. Jefferson's car needs
$4,500 worth of repairs? How much will Jefferson have to pay total to fix the house and his car?

Answers

Answer: Since Jefferson has a $1,000 deductible on his comprehensive/collision insurance, he will have to pay the first $1,000 of his car repairs himself. The insurance will cover the remaining amount, which is $4,500 - $1,000 = $3,500.

For the damage to the house, Jefferson's property damage insurance will cover up to $30,000. Since the damage to the house is $40,000, Jefferson will have to pay the difference out of his own pocket. The amount he will have to pay is $40,000 - $30,000 = $10,000.

Therefore, the total amount Jefferson will have to pay to fix the house and his car is $1,000 + $3,500 + $10,000 = $14,500.

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x=-14

Step-by-step explanation:

The 2 angles are opposite of each other. This means that they are vertical angles, are they are congruent.

Since they are congruent, we can set them equal to each and solve for x.

9x+184=7x+156

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtract 7x from both sides.

9x-7x+184=7x-7x+156

9x-7x+184=156

2x+184=156

Next, subtract 184 from both sides.

2x+184-184=156-184

2x=156-184

2x=-28

Finally, divide both sides by 2.

2x/2= -28/2

x=-28/2

x= -14

The value of X is -14.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

An electronics store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800, The lowest priced stereo system in the store sells for 800 dollars, and the highest priced stereo system sells for $3000. and the highest priced stereo system sells for 3000 dollars. Which of the following is the maximum amount of $3000 systems on hand Which of the following is the maximum amount of 3000 dollar systems on hand if the current inventory totals $111,000?The answer is 32, I need an explanation how to find the answer.

Answers

B) 32

Explanation:

let H = number of expensive high price stereo

systems

let L = number of less expensive low price

stereo systems

H +L = 50 =

3,000H + 80OL = 110,000

H = 50 - L (now replace)

3,000 (50 - L) + 800 L = 110,00

150,000 - 3,000L + 800L = 110,000

150,000 - 110,000 = 3,000L - 800L =

40,000 = 2,2OOL

L = 40,000 / 2,200 = 18.18 = 18 lower priced = =

stereo systems H = 50 - 18 = 32 higher priced stereo systems

=

=

(3,000 x 32) + (800 x 18) = 96,000 + 14,400 = 110,400

Even though the answer is not exact, if you had 33 high cost stereo systems, your inventory's cost = $112,600 which is $1,600 off

What number is bigger 3/4 or 0.75

Answers

Answer:

they are the same.

Step-by-step explanation:

Answer:

they are equal

Step-by-step explanation:

3/4 is the same thing as 0.75

Other Questions

Simplify 3x/4 X 4y/2

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five green ones, four white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.She has at least one green one.

2.Make up a new pair of numbers that would makethe same shade of green. Explain how you knowthey would make the same shade of green.

Consider the following inductive arguments, and evaluate each one for inductive strength. To do this, begin by assuming that the argument's premises are true (even if they are false). Then ask yourself whether the conclusion would therefore probably be true as well. If the answer to this question is yes, then the argument is strong. If the conclusion is not likely to be true based upon the given premises, then the argument is weak.Argument A:Whales and dolphins are both mammals. So, because whales cannot breathe underwater but must come up to the ocean's surface to breathe, it is likely that dolphins must also swim to the surface to breathe air.Argument A is :_______ a. strongb. weakArgument B:Harry has always had an aptitude for history, geography, and social sciences, but he has always struggled with abstract concepts such as mathematics and physics. But Harry must take a college physics course to fulfill a general education requirement for his degree. Based on his academic track record, it is likely that Harry will be one of the top students in his college physics course.Argument B is :_______ a. strongb. weakArgument C:Out of a bag of 100 marbles, 97 red marbles were drawn in a row at random. Based on this sample, it is probably the case that the remaining 3 marbles are also red.Argument C is :_______ a. strongb. weakArgument D:The label on the side of a certain soda can indicates that the can was manufactured by Ball Corporation in their plant in Fairfield, California. Based on the information on the can's label, it is unlikely that the can was manufactured by any company other than Ball Corporation.Argument D is :_______ a. strongb. weak