In a board game, students draw a number, do not replace it, and then draw asecond number. Determine the probability of each event occurring.

The values of the angles are m∠AOB = 27°, m∠BOC = 48° and m∠COD = 27°.

Congruency may be defined as the property between two shapes or figures which shows same behavior in their shape and size. The symbol for congruency is given by '≅'. If one image is mirror image of another, then also both are said to be congruent. From the figure ∠AOB is congruent to ∠COD. We have the value of m∠AOB = 6x - 3 and m∠COD = 3x + 12. Equating these two values we get

6x - 3 = 3x + 12

3x = 15

=> x = 5

Now, the value of m∠AOB = 6x - 3 = 27°, value of m∠BOC = 6x + 18 = 48° and of value m∠COD = 3x + 12 = 27°.

Learn more about Congruency at:

brainly.com/question/18282432

#SPJ1

EXPLANATION;

Given;

We are given the two numbers,

Required;

We are required to arrange them in order and the solution is as follows;

As we can see, the fractions have been replaced with equivalent and these are;

As we can see, eight out of 100 is greater than 5 out of 100. Therefore;

ANSWER:

Answer:

5

Step-by-step explanation:

What is 75% of 200?

Responses

A 2.62., 6

B 125125

C 175175

D 1500015000

E 150

To find the value of f(g(4)), first, find the value of g(4).

According to the table, if x=4 then g(x)=-6. Then:

According to the table, if x=-6 then f(x)=4. Then:

Therefore:

The answer is 4.

    One thing to take into consideration is the unit names' digit names.

Under the specified conditions, the power of 5 corresponds to the numbers 5, 25, 125.

    If a number A is completely contained within a number B, then it is possible to say that the two numbers are identical. It is said:

B = n.A

B = number multiplier

n = natural number

A = base number, interest number

In our case, the following procedure is followed:

Base number = Multiples between 1 and 200.

Para n = 1:5(1)=5

Para n = 2:5(2)=25

Paragraph  = 3:5(3)=125

Paragraph  =4: 5(4)=625

Does not satisfy the condition

To Learn more About digit names, Refer:

https://brainly.com/question/121660

#SPJ9

Yes, the ordered pair (4, 7) is a solution of the equation y = 5x - 13.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

To conclude if the ordered pair (4, 7) is a solution of the equation

y = 5x - 13  or not we have to substitute the value of x and check what is the corresponding y value.

So, y = 5x - 13.

At x = 5,

y = 5(4) - 13.

y = 20 - 13.

y = 7.

∴ When x = 4 the corresponding y value is 7 so the given ordered pair

(4, 7) satisfies this condition.

learn more about the ordered pairs here :

https://brainly.com/question/23922144

#SPJ1

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

This question is an application of Geometric Progression, where we have the following:

CONCLUSION:

The total vertical distance the ball travels before coming to a rest = 9m

( OPTION C)

Answer: B

Step-by-step explanation:

This is a transversal.

Thus 2x-4 = 3y+6 because they are alternative interior angles

2x-4 and 10z + 100 are supplementary, and thus add to be 180 degrees. Because both do not equal 90 degrees, then they cannot be equal.

Thus the answer is B

Answer:

[tex]\frac{2}{sizes}[/tex] * [tex]\frac{18}{flavors}[/tex] *[tex]\frac{12}{toppings}[/tex] = 432 possible sundaes

Step-by-step explanation:

The required number of combinations Dontrelle can order is 504.

As mentioned in the question that 21 choices basic sundae comes in three sizes small medium or large and includes one flavor of ice cream and one of 12 toppings Dontrelle has enough money for a small or medium basic sundae.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
Total number of choices of sundaes = 21 small + 21 medium = 42
Total number of toppings = 12
Total ice cream = 1
Total number of combinations = 42 × 12 × 1 = 504

Thus, the required number of combinations Dontrelle can order is 504.

Learn more about permutations and combinations here:

https://brainly.com/question/2295036

#SPJ2

2x + 3y = -5

5x - y = -12

add result is

(2x + 5x) + (3y - y) = -5 -12

7x + 2y = -17

Answer is

7x + 2y = -17

Answer:

Whole numbers

Explanation:

The domain of a function is the set of all the possible values that the variable x can take. In this case, x represents the number of Chromebooks, so x can take values like 0, 1, 2, 3, ...

Therefore, the c(x) domain is the set of whole numbers because these are the numbers that we use to count.

Take into account that in a general way, a parabola can be written as follow:

y = a(x - h)^2 + k

where,

a: is the leadding coefficient

(h,k): vertex of the parabola

In order to graph the parabola, first calculate the value of a, by using the following information:

(h,k) = (0,-2)

(x,y) = (5,8)

Replace the previous values into the equation of the parabola and solve for a:

Then, the equation of the given parabola is:

Another point could be:

x = -2

the point is (-2,-2/5).

Then, the graph is:

First, we find the inverse

Then, we solve for x = 1, 2, 3, 4.

the given expression is,

y = -2/5 - 4

the y-intercept of this equation is -4

Question 1.

Given:

Loan amount = $22,000

New Loan amount after reduction = $15,200

Let's determine how much of the debt he paid off.

To find how much he has already paid that year, we have:

Amount paid = Original loan amount - New loan amount

Amount paid = $22000 - $15200 = $6,800

Therefore, the amount he paid off that year is $6,800

ANSWER:

$6,800

-3y + x + 4

see explanation below

To get an equivalent expression, we need to write the equation in such a way that we can get the original expression. SInce the expression doesn't have an equal to sign, we will rewrite the expression.

Original expression: x - 3y + 4

Rewritting the expression, we can make the y come before the x term or make the constant (4) come before either the x or the y term.

Or we can leave the expression as it is.

making the y come before the x term and the constant respectively:

-3y + x + 4

making the constant come before the y and x term respectively:

4 + x - 3y

leaving the expression as it is:

x - 3y + 4

Also note we can multiply or divide the expression by 1. It will still be the same:

Multiplying: 1(x - 3y + 4)

Dividing: (x - 3y + 4)/1

Any of the above is an equivalent expression to x - 3y + 4

Let's pick: -3y + x + 4

In order to determine the midpoint between the given points, use the following expressions for the x and y coordiantes of the midpoint:

where (x1,y1) and (x2,y2) are the coordinates of the given points.

In this case. you have:

(x1,y1) = (5,-7)

(x2,y2) = (5,7)

Hence, the coordinates of the midpoint is (5,0)

Answer:

You really can't solve this one because there is no x value to solve with

Answer:

Explanation:

Given the following

Initial Marble = 15marbles

Amount Jom guessed = 18 Marbles

Difference = 18 - 15 = 3 Marbles

Percent error = Difference/Initial Marble * 100

= 3/18 * 100

= 300/18

= 16.7%

Hence the percentag

Answer:

Domain: A, [tex](-\infty, \infty)[/tex]

Range: A, [tex][4, \infty)[/tex)

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.

An illustration of a conditional statement?

Example: A conditional statement is present. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.

To learn more about Conditional statement refer to:

https://brainly.com/question/11073037

#SPJ9

We know that 1 ton is the same as 2000 pounds. Then we have:

Hence the car weighs 10 ton and therefore you would make $500

The evaluation of the equation will be 10x²y-5xy²+17216 where x,y⊆W; W stands for whole number.

Equations are mathematical statements that contain two algebraic expressions on both sides of an equal sign (=). It depicts the equality relationship between the expression written on the left side and the expression written on the right side. L.H.S = R.H.S (left hand side = right hand side) appears in every mathematical equation. Equations can be used to calculate the value of an unknown variable that represents an unknown quantity. If the statement lacks the 'equal to' symbol, it is not an equation. It will be treated as an expression. In the following section, you will learn the distinction between equation and expression.

You must substitute a number for each variable and perform arithmetic operations to evaluate an algebraic expression. Because 6 + 6 = 12, the variable x in the preceding example is equal to 6. We can evaluate the expression after replacing the variables with their values if we know their values.

For the given equation,

5xy(2x-y)+617(22+6)

open the brackets,

10x²y-5xy²+17216

This is the required equation.

The equation will be evaluated as 10x²y-5xy²+17216 where x,y⊆W; W stands for whole number.

To know more about equation,

https://brainly.com/question/28888273

#SPJ13

Since these triangles are similar, we can express the ratios of their sides like this:

By taking the first two ratios replacing the known values and then solving for YZ, we get:

The length of NZ is the length of YZ minus the length of YN:

NZ=YZ-YN=6-3=3

Then, NZ equals 3

By taking the last two ratios we can calculate XZ, like this:

Then, XZ equals 12

The option that is true after the transformation is that; D) The segments share an endpoint.

Usually when we rotate a line segment about the origin in a clockwise manner, we will discover that the transformation rule is;

(x, y) = (y, -x)

Now, in this case it is not about the origin but about the point C and as such the coordinate C will not change after rotation as only the coordinate D will have a change in coordinate.

The coordinates of C and D originally are C(3,1) and D(7,4) .

Thus, the new coordinate of D will be;

D' (−(y − b) + a, (x − a) + b)

D'( (−(4 − 1) + 3, (7 − 3) + 1)

= D'(0, 5)

Using distance coordinate formula which is;

d = √((y₂ - y₁)²+ (x₂ - x₁)²)

where;

(x₁, y₁) is the coordinate of the first point on the line

(x₂, y₂)

CD = √((7 - 3)²+ (4 - 1)²)

CD = 5

Likewise;

CD' = 5

Read more about Rotation of Line Segment at; https://brainly.com/question/24597643

#SPJ1

Complete Question is;

Rey's teacher gave him the segment CD with end points C(3,1) and D(7,4) and asked him to rotate the segment 90 degrees clockwise about point C. Which of the following is true about the original segment and the result of the rotation? Group of answer choices

A) The segments have lengths with a ratio of 2:1.

B) The segments have lengths with a ratio of 1:2

C) The segments share both endpoints.

D) The segments share an endpoint.

Stem 1

Write out all the possible outcomes.

1,2,3,4,5,6,7,8,9,10

OR mean addition and AND means multiplication.

step 2

Given that Eleanor can run 300 meters in 85 seconds;

We want to calculate how many meters it can run in 395 seconds;

substituting;

Therefore, the distance they can run in 395 seconds is;