omar has made the following statements about rectangles, squares, rhombuses, and trapezoids: rectangles are always squares. rhombuses are never squares. trapezoids are sometimes squares. (a) what incorrect statements did omar make about squares? (b) how would you explain to omar the relationships among rectangles, squares, rhombuses, and trapezoids?

Answers

Answer 1

By understanding the properties of each shape, Omar can gain a better understanding of how they are related to one another and avoid making incorrect statements in the future.

(a) Omar made two incorrect statements about squares. Firstly, he claimed that rectangles are always squares, which is not true. Rectangles are quadrilaterals with four right angles, but they do not necessarily have equal sides like squares do. Secondly, he claimed that rhombuses are never squares, which is also not true. A square is a special case of a rhombus where all sides are equal, so all squares are rhombuses.

(b) To explain the relationships among rectangles, squares, rhombuses, and trapezoids, we need to understand their properties and how they are related to one another.

A rectangle is a quadrilateral with four right angles. It has opposite sides that are parallel and equal in length. All squares are rectangles, but not all rectangles are squares.

A square is a special type of rectangle where all sides are equal in length. It has four right angles, and opposite sides are parallel.

A rhombus is a quadrilateral with all sides equal in length. It does not necessarily have right angles, but opposite sides are parallel like a rectangle. All squares are rhombuses, but not all rhombuses are squares.

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have two right angles, but it does not necessarily have any right angles. A trapezoid can be a square if its non-parallel sides are also equal in length.

We can illustrate the relationships among these shapes in a Venn diagram. All squares are rectangles and rhombuses, but not all rectangles and rhombuses are squares. Some trapezoids can also be squares, but not all trapezoids are squares.

To explain this to Omar, we could start by pointing out that squares are a special type of both rectangles and rhombuses, but not all rectangles or rhombuses are squares. We could use examples of each shape to illustrate their properties and how they differ from one another. We could also demonstrate how a trapezoid can be a square if its non-parallel sides are also equal in length.

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Related Questions

What is the following quotient?
√96/√ 8
O 2√3
O 4
O 2√√22
O 12

Answers

The correct answer is the first one: 2sqrt3

How do you factor polynomials ?

Answers

Answer:I often do is just see how many terms in there if is only have two that will be Binomial, if it was three therm I will just think that probably trinomial, only have one that will be the monomial, more than 3 term i will think it just polynomials.

What is the meaning of 2²?

Answers

The meaning of the term 2² is number 2 is squared:

2*2 = 4.

Define square of the number?Square numbers are the result of multiplying any integer by themselves in mathematics.The result of multiplying an integer by itself is referred to as a square number. If "n" is an integer, then its square number is (n n), or "n2.". 81 is a square number, for instance, in the equation 9* 9 = 81.

Examples:

1 * 1 = 1.

One is a square number therefore.

2 * 2 = 4.

Four is the following square number, so. You can probably guess how to determine the following square number.

Let's multiply 3 by itself:.

3 * 3 = 9.

and so on.

Thus, for the stated question:

The number 2 is squared.

= 2*2 = 4.

Therefore, the result of the expression comes as 4.

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What are the properties of algebra?

Answers

The algebra properties are as follows: associative property , distributive property, identity property, inverse property.

As given in the question,

Properties of the algebra are as follow:

1. Associative property :

Let a, b, c be the three expressions

a. For addition:

( a + b ) + c = a + ( b + c )

b. For multiplication :

a × ( b × c ) = ( a × b ) × c

2. Distributive property:

Let a, b, c be the three expressions

For multiplication over addition:

a ( b + c ) = ab + ac

3. Identity property:

a. For addition:

a + 0 = a

b. for multiplication :

a × 1 = a

4. For inverse

For addition:

a + ( -a ) = 0

For multiplication:

a × ( 1 /a) = 1

Therefore, the four properties of the algebra are associative property , distributive property, identity property, inverse property.

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Algebra 1 common assessment unit 2-1 SY23

Answers

Answer:

[tex]t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} [/tex]

Consider the function f(x) = 10x² - 10x.
a. Determine, without graphing, whether the function has a minimum value or a maximum value.
b. Find the minimum or maximum value and determine where it occurs.
c. Identify the function's domain and its range.

Answers

Answers:A) The graph has a minimum value.B) The minimum value is f(x) = -2.5 and it occurs when x = 0.5C) Domain is "all real numbers"; range is [tex]\boldsymbol{\text{y} \ge -2.5}[/tex]

The graph is shown below.

===================================================

Explanation:

Part A)

x² is the same as x^2

The function f(x) = 10x^2-10x is the same as y = 10x^2-10x

Compare this to the template y = ax^2+bx+c to find the following

a = 10b = -10c = 0

The value of 'a' is positive, which means the parabola opens upward. Furthermore, it tells us that the graph has a lowest point. There is no highest point since both parts of the parabola go upward forever.

-----------------------------

Part B)

We'll use the values of 'a' and b found earlier to get...

h = -b/(2a)

h = -(-10)/(2*10)

h = 10/20

h = 0.5

The min value therefore occurs when x = 0.5, which is the x coordinate of the vertex. The vertex being (h,k)

To find the value of k, we plug x = 0.5 into the original function.

y = 10x^2-10x

y = 10(0.5)^2-10*0.5

y = -2.5

This is the smallest the output y values can get. Therefore, it is the minimum value.

The vertex is located at (h,k) = (0.5, -2.5)

-----------------------------

Part C)

With any quadratic function, the domain is "set of all real numbers". We don't have to worry about things like...

Division by zero errors.Taking the square root of negative values.

And so on.

The range is [tex]\text{y} \ge -2.5[/tex] since we found y = -2.5 to be the smallest y value possible. See part B above. So either y = -2.5 or y > -2.5

Check out the graph below. I used GeoGebra to make it, but you could use Desmos or other similar graphing tools if you prefer.

Help please
I need it fast

Answers

Answer: ok what do you need help with

Step-by-step explanation:

i need the material to help you

Answer:

Step-by-step explanation:

i got you step 1 step 2 step 3 step 4 answer is c

help help helpppppppp

Answers

Answer: 6

Step-by-step explanation: you subtract the one time fee($16) from the 100 then divide the rest by the cost of a one month membership($14)

Determine whether each function is linear. write yes or no. explain.



can someone please help me with this question?

Answers

Answer:

yes, it is linear

Step-by-step explanation:

the x is +3 to each one, and the y is -1 to each one, this keeps it linear

The assets and liabilities of a recent college graduate are listed below.


Furniture $3,865
Car Loan $12,500
Credit Card Balances $2,468
Savings Account Balance $571
Student Loans $33,821
Car Value $19,250
Electronics $2,160


The college graduate is hired at a law firm with a $10,000 signing bonus, that will be deposited into the savings account. The firm also agrees to immediately pay off $25,000 in student loan debt. What is the college graduate's new net worth?
$12,057
$22,057
$25,846
$35,846

Answers

The college graduate's new net worth is $12,057. The Option A is correct.

How to calculate an entity net worth?

The net worth of an entity (i.e company or person) is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts (liability) of the person.

The assets of the student are given as follows:

Signing bonus: $10,000.

Furniture: $3,865.

Savings Account Balance: $571.

Car Value: $19,250.

Electronic: $2,160.

Total = $35,846

The liabilities of the student are given as follows:

Car Loan: $12,500.

Credit Card Balances: $2,468.

Student Loans: $33,821 - $25,000 = $8821.

Total = $23,789

The student's net worth is calculated as follows:

= $35,846 - $23,789

= $12,057.

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rewrite (2/5)^-2 without an exponent

Answers

The required expression would be 25/4 for the given expression (2/5)⁻².

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

(2/5)⁻²

We have to rewrite [tex](2/5)^{-2}[/tex] without an exponent.

As per the question, we have

(2/5)⁻²

This can be also rewritten as:

1/(2/5)²

1/[(2/5)×(2/5)]

1/(4/25)

Reciprocal the term in the denominator, and we get

25/4

Thus, the required expression would be 25/4.

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Carey's extreme sports is an ecommerce store specializing in selling extreme sports products.

The products include equipment, apparel, and other items related to extreme sports. Founded in 2015 in Arizona, US, the company has grown from a high-end sports gear equipment company into a national extreme sports brand with operations in 50 States and close to 1000 employees working for the company. The world of Carey's Extreme has traditionally conjured up images of inclusivity, sophistication, and elegance, attracting both wealthy and not-so-wealthy crowds, including college students.

Answers

Based on the Pareto analysis, the set of brands which contributes most to the profit , i.e., about 80% is Adidas , Hyperlite ,mongoose , Schwinn and aquaronotman.

Pareto analysis is based on the idea that 80% of a project's benefit can be achieved by doing 20% of the work . In bigger business firms it is taken as a powerful tool for quality maintenance and decision-making .We can say that ,it is a method used for getting the required facts and information needed for setting priorities.

Thus , we can say that it is a technique used in business decision-making, but it also be used in welfare economics . It is based on the "80-20 rule." Pareto analysis, as a decision-making technique, statistically distinguishes a small number of input factors , either good or undesirable that have the largest impact on an output.

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GUYS HELP!!
Fill in the "???" section in the proof below.
Given: Line AB is perpendicular to BC.
Proof: ∠1 is complementary to ∠2.

A) Definition of interior angles.
B) Definition of a right angle.
C) Definition of supplementary angles.
D) Definition of angles formed by intersecting lines.

Answers

The correct option is B) definition of a right angle.

What is a Triangle?

A triangle is a regular polygon, with three sides and the sum of any two sides is always greater than the third side. This is a unique property of a triangle. In other words, it can be said that any closed figure with three sides and the sum of all the three internal angles is equal to 180°.

Given here:

Angle B is a right angle and a right angle is always equal to 90

Hence, The correct option is B) definition of a right angle.

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Answer:

b! hope this helps

Step-by-step explanation:

If x -y =5 , xy =24 then the value of x^2+y^2 will be​
Full steps and explanations pls

Answers

Answer:

x² +y² = 73

Step-by-step explanation:

x - y = 5    ; xy = 24

      [tex]\sf \boxed{\bf x^2 + y^2 = (x -y)^2 + 2xy}[/tex]

                     = 5² + 2*24

                     = 25 + 48

                     = 73

Reason:    

x² + y² = (x - y)² + 2xy

          = x² + y² - 2xy + 2xy   {(x - y)² = x² +y² - 2xy}

          = x² + y²

What is mirror class 7?

Answers

A mirror is a surface that virtually always reflects the incident light that strikes it. Both flat and curved surfaces are possible for mirrors. The terms "plane mirror" and "spherical mirror" are used to describe mirrors with flat surfaces and curved surfaces, respectively.

An image is either produced in real time or virtually in a mirror, which is a reflecting surface that reflects light. An object's reflection may be seen in a mirror when it is positioned in front of one. The incident rays are coming from the item, and the reflected rays are what create the image. The classification of the pictures as real or virtual depends on where the light beams cross. Real images happen when light rays truly cross, but virtual images happen when rays of light from a point appear to diverge.

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A right triangle has coordinates A (4,6) , B (4, 12) and C (8, 6) . Write the coordinates of the triangle after a dilation of 12 .

Answers

The coordinates of the triangle after dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

What is Dilation?

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Assume that the dilation is about the origin.

When a point (x, y) is dilated with k, then new coordinates are (kx, ky).

A(4, 6) after dilation become (4 × 12, 6 × 12) = A'(48, 72)

B(4, 12) after dilation become (4 × 12, 12 × 12) = B'(48, 144)

C(8, 6) after dilation become (8 × 12, 6 × 12) = C'(96, 72)

Hence the coordinates after undergone dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

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In the rectangle below, AE=2x+2, BD=3x+14, and mLBEC=112°.
Find CE and mLEAD.
A
D
E
B
C
CE=
m LEAD =

Answers

The length of CE is 22. The measurement of ∠EAD = 34°.

What is a diagonal?

The diagonal is the line that runs through the centre of the figure from one corner of the square or rectangle to the opposite corner. Any square with two diagonals that are the same length.

Given that AE = 2x+2 and BD=3x+14, ∠BEC=112°.

The diagonals of a rectangle equal and bisect each other.

Thus BD = AC.....(i)

The diagonal AC bisect at E.

AE = EC = 1/2 AC

Rewrite equation:

BD = 2AE

3x+14 = 2(2x+2)

3x+14 = 4x+4

4x-3x = 14-4

x = 10

Putting x=10 in AE = EC :

EC = 2(10)+2

EC = 22

Vertical angle theorem: The Vertical opposite angles are equal.

∠AED = ∠BEC =112° (vertical opposite angles)

Consider △ADE:

Since AE = ED, thus ∠EAD = ∠EDC.

The sum all interior angle of a traingle is 180°

∠EAD + ∠EDC + ∠AED = 180°

2∠EAD + ∠AED = 180°

2∠EAD + 112° = 180°

2∠EAD  = 180° - 112°

2∠EAD  = 68°

∠EAD  = 34°

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Help Please! I need to find the value of x in the quadrilateral *For 20 points*
I know the sum of the exterior angles and interior angles is 360 and I know I need to do something with substitution but I have no idea where to start. Please explain it step by step so I understand.

Answers

The value of x in the quadrilateral is 23.

How to find the angles of a quadrilateral?

A quadrilateral is a polygon with 4 sides. The sum of interior angles in a quadrilateral is 360 degrees.

The sum of external angles of any polygon, irrespective of the number of sides is 360∘.

Therefore, the value of x of the quadrilateral can be found as follows:

6x + x + 16 + 3x - 1 + 5x = 360

combine like terms

6x + x + 3x + 5x + 16 - 1 = 360

15x = 360 - 15

15x = 345

divide both sides by 15

x = 345 / 15

x = 23

Therefore, the value of x is 23.

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PLEASE HELP WITH THIS QUESTION ASAP

Answers

9.6
work:
12/9 = 1.33333333
then 7.2 x 1.333333 = 9.6

1 yard in 6 minutes only correct answers

Answers

Answer: Depending on you mean I have answers for them so I hope one of them is for what your looking for.

A distance of 1 yard covered in 6 minutes, which would indicate a speed of 1 yard/6 minutes, or 0.17 yards per minute.

A measurement of time, with the duration of an event or task being 6 minutes and the quantity or amount being 1 yard.

A quantity that is spread out over a period of 6 minutes, such as 1 yard of fabric or 1 yard of pipe being produced every 6 minutes.

A reference to a specific sport or activity, such as a football team gaining 1 yard in 6 minutes of play.

Answer:

(Rounded. Exact DP: 16) -- 0.166...7 yards/minute

Step-by-step explanation:

Use the speed formula:

[tex]s = \frac{d}{t}[/tex]

The runner travelled 1 yard in 6  minutes.

[tex]s = \frac{1\:yard}{6\:minutes}\\s = 0.166...7[/tex]

Hope this helps!

At Laura's summer camp, there were 200 boys and 16 counselors. At this rate, how many boys should be at camp with 20 counselors?

Answers

The number of boys who should be at camp with 20 counselors will be 250 boys.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

At Laura's summer camp, there were 200 boys and 16 counselors. Then the rate is given as,

Rate = 200 / 16

Rate = 12.5 boys per counselor

At this rate, the number of boys should be at camp with 20 counselors will be given as,

⇒ 12.5 x 20

⇒ 250 boys

The number of boys is 250 boys.

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Find the missing values so that the area of the product is equal to the
area of its sum.

Answers

(2x+3y)(3y-3)=12x+3y-15

Can you help me with this

Answers

Approximately after 6 days there will be fewer than 40 bugs remaining at the farm.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given exponential function is f(x)=500(0.67)ˣ.

Part A: To complete table

Put x=0

f(0)=500(0.67)⁰

f(0)=500

Put x=1

f(1)=500(0.67)¹

f(1)=335

Put x=2

f(2)=500(0.67)²

f(2)=224.45

Put x=3

f(3)=500(0.67)³

f(3)=150.3815

Part B:

Percentage of the bugs are eaten

= 335/500 ×100

= 335/5

= 67%

Part C:

Percentage of the bugs are remain 33%

Part D: Number of days after there will be fewer than 40 bugs remaining at the farm.

40=500(0.67)ˣ

(0.67)ˣ =40/500

(0.67)ˣ =0.08

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form: ln (0.08)/ln(0.67)

x=6.306

x≈6

Therefore, approximately after 6 days there will be fewer than 40 bugs remaining at the farm.

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Sarah was asked to find the slope for the linear function described by the table below. She said, "That's simple just divide y by x. So the slope of the linear function is 22/4 11/2 when simplified

A. Demonstrate another method for finding the slope of the linear function. Your method must be different from Sarah's.

B. Explain why Sarah's method of dividing y by x will not work to find the slope of every linear function and give an example using a table, equation, or graph.

Answers

A. Another method for finding the slope of the linear function is by using the formula, slope = (y2-y1)/(x2-x1).

B. Sarah's method will not work for every linear function because not every linear function pass through the origin.

How to find the slope for the linear function?

The slope of a linear function that can be determined using the formula:

Slope = (y2-y1)/(x2-x1)

Where (x1, y1) and (x2, y2) are two points on the line

A. Another method for finding the slope of the linear function is by using the formula above.

x1 = 4, y1 = 22 and x2 = 12 , y2 = 66

Slope = (66-22)/(12-4) = 44/8 = 11/2

B. Sarah's method will not work for every linear function because not every linear function pass through the origin.

Example:

x y

2 5

3 9

Sarah's method:

slope = 5/2 = 2.5 or slope = 9/3 = 3.

This will not work because the values of y/x are not the same.

Using the formula:

x1 = 2, y1 = 5 and x2 = 3 , y2 = 9

Slope = (9-5)/(3-2) = 4/1 = 4

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Would this be correct anyone?!

Answers

Answer:

The answer would be g(x) = -4|x| - 3

Step-by-step explanation:

With transformations involving translating an absolute value function down, the translation would be outside the absolute value and is negative (since we're moving the entire graph down). As the transformation occurs after the graph is already reflected, the translation will not be affected by the reflection.

What is the opposite of the opposite of point D?

Answers

In Number line, -4  is the opposite of the opposite of point D.

What does a math number line mean?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals. A number line can be used to represent every number in a sequence. Both endpoints of this line continue indefinitely.

                         The terms "number line" and "number grid" both refer to horizontal straight lines with numbers arranged along them at equal intervals. Some will have a defined beginning and end.

 Value of D = 4

   Opposite of point D = -4

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what model would I use when analyzing the data in a scatter plot?

Answers

The linear regression model is the model that you would have to use when analyzing the data in a scatter plot.

What is a scatterplot?

A scatterplot is a graphical representation of two sets of numerical data, where the values of one set are plotted on the x-axis and the values of the other set are plotted on the y-axis.

Each point on the plot represents a pair of (x, y) values. Scatterplots are often used to visualize the relationship between two variables and to identify any patterns or trends in the data.

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Subtract (5x + 1/3) - (3x - 1/6)

Answers

The value of the mathematical expression is 2x + 1/2

How to evaluate the mathematical expression?

From the question, we have the following parameters that can be used in our computation:

A mathematical expression

The mathematical statement is give as

Subtract (5x + 1/3) - (3x - 1/6)

When this is represented as an expression

We have the following representation

(5x + 1/3) - (3x - 1/6)

Open the brackets

So, we have the following representation

5x + 1/3 - 3x + 1/6

Collect the like terms

So, we have the following representation

5x - 3x + 1/3 + 1/6

Evaluate the like terms

2x + 1/2

Hence, the expression is 2x + 1/2

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A town has a population of 53,800 and shrinks at a rate of 2.5% every year. Which
equation represents the town's population after 3 years?

Answers

The population of the down represent by the equation  P = 53800 [tex](1-\frac{2.5}{100})^3[/tex] and the population after 3 years is 49865.

What is rate of decrease in population?

The rate of decrease calculates a decline as a percentage of the initial sum. To determine how quickly a population is dwindling or how much money is being lost on an investment, you may want to know the rate of decrease . Knowing the initial and final amounts is necessary to compute the rate of decrease.

Here the initial population of the town is [tex]P_0[/tex] = 53800.

Population shrink rate R = 2.5%

Number of years = 3.

Now using decrease in population formula then,

P = [tex]P_0(1-\frac{R}{100})^n[/tex]

=> P = 53800 [tex](1-\frac{2.5}{100})^3[/tex]

=> P = 53800(0.975×0.975×0.975)

=> P = 49865.

Hence the population of the down represent by the equation  P = 53800 [tex](1-\frac{2.5}{100})^3[/tex] and the population after 3 years is 49865.

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How can I learn 5 tables easily?

Answers

"Complete table of 5" refers to a multiplication table containing all products of the number 5 multiplied by integers from 1 up to a specified maximum value.

Write a complete table of 5.

Here is an example of 5 complete tables:

5x1=5

5x2=10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

5 x 6 = 30

5 x 7 = 35

5x8=40

5 x 9 = 45

5 x 10 = 50

In this example, the maximum multiplier value is 10, but a full table of 5 can continue with any number of rows. This table will help you remember the facts about multiplication by 5 and identify patterns for multiples of 5.

Note that if you're looking for a way to compute the product, you can use a loop or function that takes the maximum value of the multiplier as input and outputs the full table of 5.

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write the slope intercept form of the equation of the line through the given points (0,4) and (-5,5) From the set (76, 77, 78), use substitution to determine which value of x makes the equation true4x= 304A.78B.none of theseC.76D.77 Answer fast! Please Even though Alice visits the wishing well frequently and always tosses in a coin for good luck, none of her wishes have come true. As a result, she decides to change her strategy and make a more emphatic statement by throwing the coin downward into the well. If the water is 5.43 m below the point of release and she hears the splash 0.85 seconds later, determine the initial speed at which she threw the coin. (Take the speed of sound to be 343 m/s.) What is the rhyme scheme? which climate zone humans would not develop in PLs HALP will give brainliest It's forensic science Please answer :) ( Will give brainlst) NEED HELP PLEASE Which physical feature of southern Africa is made up of large grasslands? A. The Namib B. The Limpopo C. The Kalahari D. The veld Answer the photo below thanks Shay wants to buy a bag of honey crisp apples. One bag has a cost of $6.00. If there are 12 apples in each bag, what is the unit price per apple? Show your work. please help ill mark brainliest Which angle is an alternate interior angle to 8? does anyone know how to do this???? thanks answer this please i will give brainliest jellyfish is considered as the deadliest marine animal in the world. how it causes fatal to human? How do you make it 8 Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer: Multiply the following complex numbers. Reduce terms and simplify. Explain how your simplified result and the first term in the pair below are related algebraically to each other and to the complex number (1 + i). 1 1 - i _____ * _____1 + i 1 - i Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture? Based on the audio, what will Mara most likely do before leaving on her flight? She will be dropped off by her mother. She will have a late dinner with her mother. She will pick up her mother. She will be dropped off by her father.