What is the measure of the unknown angle?


Image of a full circle divided into two angles. One angle is one hundred twenty degrees and the other is unknown

Sale tax rate = 6.85%

To calculate the sale tax on a $14,000 Car, multiply 14,000 by the sale tax rate in decimal form ( divided by 100)

14,000 x (6.85/100) = 14,000 x 0.0685= $959

To find the final cost, add the sale tax amount to the price:

14,000 + 959 = $14,959

Answer:

it's so blury pls fix the picture so I can solve it NOW

Add all the numbers together to find your answer.

___________________________________________

The solution of the system of equations using Cramer's rule is x = 37/39 and y = 9/39.

The solution of the system of equations using Cramer's rule is calculated as follows;

The given equations are as follows;

9x - 2y = -9

-3x - 8y = 1

The determinant of the coefficient matrix is calculated as;

D = [9      -2]

      [-3     -8]

D = -8(9) - (-3 x - 2)

D = -72 - 6 = -78

The x coefficient is calculated as;

Dx = [-2      -9]

       [ -8       1]

Dx = -2(1) - (-8 x -9)

Dx = -2 - 72 = -74

The y coefficient is calculated as;

Dy = [9      -9]

       [ -3       1]

Dy = 9(1) - (-3 x -9)

Dy = 9 - 27 = -18

The x and y values is calculated as;

x = Dx/D  = -74/-78 = 74/78 = 37/39

y = Dy/D = -18/-78 = 18/78 = 9/39

Learn more about Cramer's rule here: https://brainly.com/question/10445102

#SPJ1

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

Read more on Z score here: brainly.com/question/25638875

#SPJ1

Answer: 83 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.

2(96) + 2w = 358

192 + 2w = 358

2w = 166

w = 83

Hope it helps :) and let me know if you want me to elaborate.

Answer:

the lines have the same slope

the y-intercept of the lines are different

Step-by-step explanation:

Answer:

This expresion is not factorable. If you have any questions, please ask me!

Answer:

please solve my questiob check my profile

Answer:

2 2/3

Step-by-step explanation:

Answer: 100 °

Step-by-step explanation:

Answer: 492 miles

Step-by-step explanation:

The first thing to do in such a question is to find out the number of miles Violet can go on 1 gallon.

That figure is:

= 369 / 12

= 30.75 miles per gallon

With 16 gallons therefore, she can go:

= 16 * 30.75

= 492 miles

Answer:

a) R(randy)

expression: Randy's brother= 2R

b) 16 years old

c) Randy's sister=R+3

Step-by-step explanation:

because maths

A) R2 = 16

B) Randy's brother is 16 years old.

C) R - 3 = 5

Randy is 8 years old, his brother is 16 years old, and his little sister is 5 years old.

Answer:

The given situation of obtaining both a king and a heart in a deck of 52 cards is not mutually exclusive.

Step-by-step explanation:

Mutually exclusive events are events that cannot occur simultaneously. In this case, we can have a king of hearts in the deck, which satisfies both conditions (a king and a heart). Therefore, the event of getting a king and a heart is not mutually exclusive because it is possible to have a card that fulfills both criteria at the same time.

Answer:

B hope it helps

Answer:

18 and 72

Step-by-step explanation:

4x+x=90

5x=90

divided by 5

x=18

for the first side, since you only have x, you put 18

for the second one, since 4x, 4(18)=72

hope this helps!

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

To know more about notation visit:

https://brainly.com/question/29132451

#SPJ11

g=36/3 is the required equation and 12 be the number of groups of employees.

Two or more expressions with an Equal sign is called as Equation.

Given that A company with 36 employees is moving to a new location.

All the 36 employees  are divided into groups of 3 for the move

We need to find the  number of groups used for the move.

Let g represent the number of groups.

g=36/3

=12

Hence, g=36/3 is the required equation and 12 be the number of groups of employees.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer here you go

Step-by-step explanation:

(-3 x 6 = -18)

6 x -18= -108

multiplication with postive and gegitives rule of thumb

negative times a positive equals a negative

negitive times a negative equals a positive

Answer:

answer: 136

Heres the answer! Hope that helps!

Answer:

0.19

Step-by-step explanation:

the easiest way to solve for this is 4.75/25 (division). This is assuming I read this right and your asking the price of each individual pencil

0.19 dollars is the unit price.

As we can see that a pack of 25 pencils costs 4.75 dollars

So the cost for 1 pencil would be 4.75/25

=0.19

A group of friends or a group of something

An example of to pack is putting collectibles in a box to be stored away. An example of to pack is putting your child's lunch in a lunch box for them to take to school.

An example of to pack is placing what you'll need for a weekend trip in a piece of luggage.

Learn more about nearest value here:https://brainly.com/question/7676027

#SPJ2

.

Answer:

Hi, there your answer will be C.

Step-by-step explanation:

The reason why is because X(Input) can not be repeated the same

for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function

Also, if you're having trouble with Functions and nonfunctions

REMEMBER THS

Function: X and y has to be separarte  and can't have the same X

NON-FUNCTION- WHEN X REPEATS ITSELF

Hope this helps :)

Answer:

when

x=1 then f(x)= -5

x=3 then f(x)= 2

x=5 then f(x)= 18

x=12 then f(x)= 15

x=15 then f(x)= 13

Step-by-step explanation:

There are 969 methods for the quality control inspector to randomly check 5 smartphones, of which 2 are defective, from the shipment of 21 smartphones.

We can solve this problem using combinations formula, that is a way of counting the number of ways to select k objects from a fixed of n items without regard to order. The range of combinations of k items from a fixed of n objects is given via:

\(C(n, k) = n! / (k! * (n-k)!)\)

in which:

In this situation, we want to pick out 2 defective smartphones out of 2 defective smartphones and 19 non-defective smartphones, and we need to pick out out three non-defective smartphones out of the ultimate 19 non-defective smartphones.

Consequently, the number of approaches to choose 2 defective smartphones and 3 non-Defective smartphones from the set of 21 smartphones is:

\(C(2, 2) * C(19, 3) = 1 * (19! / (3! * 16!)) = 191817 / (321) = 969\)

Therefore, there are 969 methods for quality control.

Learn more about Combination formula:-

https://brainly.com/question/28065038

#SPJ4

Answer:

d.32

Step-by-step explanation:

To get the Least Common Multiple (LCM) of 8 and 32 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

8:   222    

32:   22222

LCM:   22222

The Least Common Multiple (LCM) is:   2 x 2 x 2 x 2 x 2 = 32

The least common multiple is = 32

The denominators are 8 and 32.

The multiples of 8 are = 8, 16, 24, 32, 40, ....

The multiples of 32 are = 32, 64, ....

So the least common multiple is = 32

Learn more: https://brainly.com/question/8806877