Given AG bisects CD, IJ bisects CE, and BH bisects ED. Prove KE = FD.

Answer:

12

Step-by-step explanation:

12/4=3

3^2=9

3+9=12

Answer:

$207,294

Step-by-step explanation:

Since x equals annual income, we just plug in 62,500 in place of x in the given equation

y = 1.55(62,500) + 110,419

y = 96,875 + 110,419

y = 207,294

Answer:

3.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Does Daniela Works every day?

Do Daniela Work every day?

Does Daniela Work every day?

Did Daniela Work every day?

4.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Margarita don't brushes her car

Margarita doesn't brush her car

Margarita doesn't brushes her car

Margarita didn´t brush her car

5.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Do Camilo and Diana dances in the class?

Do Camilo and Diana dance in the class

Does Camilo and Diana dance in the class?

Do Camilo and Diana dance in the class?

6.LOOK AND CHOOSE THE CORRECT SENTENCES

(1 Punto)

You don't read a book

You don't reads a book

You doesn't read a book

7.LOOK AND CHOOSE THE CORRECT SENTENCES  

INTERROGATIVE  

____ he ___ better than you?

(1 Punto)

Does- plays

Does- play

Do- play

Do . plays

8.LOOK AND CHOOSE THE CORRECT SENTENCES  

NEGATIVE

It  ___ snow in summer.

(1 Punto)

doesn't

don't

9.LOOK AND CHOOSE THE CORRECT SENTENCES  

AFFIRMATIVE  

My cousin _____ English very well.

(1 Punto)

Speak

Speaking

Speaks

10.LOOK AND CHOOSE THE CORRECT SENTENCES  

AFFIRMATIVE  

We _____  our bikes

(1 Punto)

Wash

Washes

Washing

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Step-by-step explanation:

Answer:

A. y=5x

Step-by-step explanation:

We have shown that f(g(x)) = x, which verifies that g(x) is the inverse of f(x).

What is inverse function?

An inverse function is a function that "undoes" the effect of another function. More specifically, if f(x) is a function, its inverse function f^-1(x) "undoes" the effect of f(x), such that f(f^-1(x)) = x for all values of x in the domain of f^-1(x) and f(f^-1(x)) = x for all values of x in the domain of f(x).

In other words, if we apply the function f(x) to some value x, and then apply the inverse function f^-1(x) to the result, we get back the original value x. Similarly, if we apply the inverse function f^-1(x) to some value x, and then apply the original function f(x) to the result, we also get back the original value x.

A) To find the inverse of f(x), we need to swap the positions of x and y and solve for y:

x = 3/7 y + 1

x - 1 = 3/7 y

y = 7/3 (x - 1)

Therefore, the inverse of f(x) is:

f^-1(x) = 7/3 (x - 1)

B) Now, we need to verify that (f(g(x))) = x, where g(x) is the inverse of f(x) that we found above:

f(g(x)) = f(7/3 (x - 1))

        = 3/7 (7/3 (x - 1)) + 1

        = x - 1 + 1

        = x

Therefore, we have shown that f(g(x)) = x, which verifies that g(x) is the inverse of f(x).

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Answer: Hi I will solve this right quick.

Step-by-step explanation:

The equation is \(\frac{4}{9} x^{2} y x(x^{2} -3xy+y^{2} )\)

The answer is this

\(\frac{4y (x^{2} - 3xy +y2) x^{3} }{9}\)

Answer:

\(\dfrac{4}{9}x^{5}y-\dfrac{4}{3}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

Step-by-step explanation:

Given expression:

\(\dfrac{4}{9}x^2yx(x^2-3xy+y^2)\)

Distribute:

\(\implies \dfrac{4}{9}x^2yxx^2-\dfrac{4}{9}x^2yx3xy+\dfrac{4}{9}x^2yxy^2\)

Re-order each term to collect like variables:

\(\implies \dfrac{4}{9}x^2x^2xy-\dfrac{4 \cdot 3}{9}x^2xxyy+\dfrac{4}{9}x^2xy^2y\)

\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)

(Remembering that a = a¹)

\(\implies \dfrac{4}{9}x^{2+2+1}y-\dfrac{12}{9}x^{2+1+1}y^{1+1}+\dfrac{4}{9}x^{2+1}y^{2+1}\)

\(\implies \dfrac{4}{9}x^{5}y-\dfrac{12}{9}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

Reduce 12/9 to 4/3:

\(\implies \dfrac{4}{9}x^{5}y-\dfrac{4}{3}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

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(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer:

333234

Step-by-step explanation:

333234$ for the next 4 years and the ecvation is 69$+-2$

Answer:

2.72 inches

Step-by-step explanation:

1040/8.5=122.35

1 inch on the map = 122.35 miles actual distance

333/122.35=2.72

Therefore, **x < 7** is the inequality that may be utilized to find x

A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).

For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".

Let x represent how many days the client paid for pet sitting.

$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.

We are aware that the customer's purchase was under $125. Consequently, we can write:

20 + 15x < 125

Putting this disparity simply:

15x < 105

x < 7

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Answer: 5/8

Step-by-step explanation:

This fraction is talking about a whole, so 3/8 + x = 1.

Knowing this, we just do 1 - 3/8, which is 5/8.

Answer:

8

Step-by-step explanation:

plz me

Answer:

4+4=8

Step-by-step explanation:

.................

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer:

I hit my toe

Step-by-step explain

. 0.85+[0.15+(-1/3)

Using the inequality concept, the expression models the number of days Samuel can afford to rent while staying within his budget is 11x + 18 ≤  40

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A rental car company charges $22 per day to rent a car and $0.08 for every mile driven

The maximum amount to spend = $80

Fixed charge per day $22

Charge per mile = $0.08

The inequality which represents the number of days Can be expressed thus :

(Charge per day × number of days) + (charge per mile × number of miles) ≤  80

22x + 0.08× 450 ≤ 80

22x + 36 ≤  80

Divided by 2 both sides of an inequality,

11x + 18 ≤  40

Hence, the required inequality expression is 11x + 18 ≤  40

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A true statement based on the given information is that ΔCAT and ΔDOG are similar triangles, meaning their corresponding angles are congruent and their corresponding sides are in proportion.

If all pairs of corresponding angles and sides in triangles ΔCAT and ΔDOG are congruent, it implies that the two triangles are similar. In similar triangles, the corresponding angles are congruent, and the corresponding sides are in proportion.

Based on this information, the following true statement can be made:

The ratio of the lengths of the corresponding sides in ΔCAT and ΔDOG is equal.

For example, if the corresponding sides are CA and DO, the ratio CA/DO will be equal to the ratio of the lengths of the other corresponding sides.

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The HCF of 560 and 729 is 1.

To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.

Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.

Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.

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Answer:

Both processes will yield same results and he need not worry

Step-by-step explanation:

Let us firstly check if we will have same results on both steps

y before x

Let us have the point (x,y) on the triangle

y reflection

(-x,y)

then x reflection

(-x,-y)

Let us now get the order in which my friend followed

x reflection

(x, -y)

y reflection

(-x,-y)

we can see that both processes have same results and thus, my friend need not worry

Answer:

The order of these two reflections  

does not

matter. The resulting image  

is

the same for a reflection in the y-axis followed by a reflection in the x-axis as for a reflection in the x-axis followed by a reflection in the y-axis.

Step-by-step explanation:

The probability of correctly guessing which pies were sold on the first day is  near to 2/3.

The Fundamental Counting Principle states that if there are m number of ways to do an activity and n number of ways for a second activity, then there are m x n ways to do the two activities together.

In this case, there are 7 pies and 4 of them were sold on the first day. Therefore, the probability of correctly guessing which pies were sold on the first day is 4/7.

This can be written in simplest form as 2/3.

In conclusion, the probability of correctly guessing which pies were sold on the first day is 2/3.

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Step-by-step explanation:

circular permutations of n objects =(n-1)!

Given statement solution is :- The y-intercept is (0, -3).

The term "intercept" refers to the location where a line or curve crosses a graph's axis.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

To find the x-intercept, we set y = 0 and solve for x.

0 = (1/4)x - 3

Add 3 to both sides:

3 = (1/4)x

Multiply both sides by 4 to isolate x:

12 = x

So the x-intercept is (12, 0).

We set x = 0 and then solve for y to determine the y-intercept.

y = (1/4)(0) - 3

y = -3

So the y-intercept is (0, -3).

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From the diagram given in the question, we are asked to find the missing length indicated.

We can see from the diagram that the right triangles are similar, so the ratio of hypotenuse to short leg is the same for all.

So,

x/900 = (1600 + 900)/x

Let's cross multiply:

x² = 900(2500)

let's take square of both sides:

x = √(900) * √(2500)

x = 30(50)

x = 30 * 50

x = 1500

Therefore, the missing length is 1500

The slope of the line represented by the graph of a linear function is  -5/2

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

here, we have,

Given in a question a linear function that decreases from left to right passing through the coordinates A(0,3) and B(2, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c.

So, it represents a straight line.

The line passes through the points A (0,3) and  B (2, -2).

The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 3) / (2 - 0)

m = -5/2

Therefore, the slope of the line represented by the graph of a linear function is  -5/2.

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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AS per the concept of Compound interest,

(a), The amount owed at the end of 1 year is $8,400

(b) The amount owed at the end of 2 year is $ 9,408

Compound interest:

The general formula to calculate the compound interest is

A = P(1 + r/n)ⁿˣ

where

A represents Accrued amount (principal + interest)

P represents Principal amount

r represents Annual nominal interest rate as a decimal

n represents number of compounding periods per unit of time

x = time

Given,

Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year. Assume that no payments are made on the loan.

Here we need to find the following,

a)the amount owed at the end of 1 year.

b) the amount owed at the end of 2 year.

From the given details we know that the value of

Principal amount = $7,500

Interest rate = 12%

Part a) the amount owed at the end of 1 year is calculated as,

Here we have to convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = 7,500.00(1 + 0.12/1)(1)(1)

A = 7,500.00(1 + 0.12)(1)

A = $8,400.00

Therefore, the amount owed at the end of 1 year is $8,400.

Part b) The amount owed at the end of 2 year is calculated as,

In this one the value of principal amount interest rate are same but the value of year only differs as 2,

So, the amount is

=>A = 7,500.00(1 + 0.12/1)(1)(2)

=> A = 7,500.00(1 + 0.12)(2)

=> A = $9,408.00

Therefore, the amount owed at the end of 2 years is $9,408.

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Answer:

The middle 90% of all freshman biology majors' GPAs lie between 2.31 and 3.43.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 2.87 and standard deviation .34.

This means that \(\mu = 2.87, \sigma = 0.34\)

Middle 90% of scores:

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile.

5th percentile:

X when Z has a pvalue of 0.05. So X when Z = -1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.645 = \frac{X - 2.87}{0.34}\)

\(X - 2.87 = -1.645*0.34\)

\(X = 2.31\)

95th percentile:

X when Z has a pvalue of 0.95. So X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 2.87}{0.34}\)

\(X - 2.87 = 1.645*0.34\)

\(X = 3.43\)

The middle 90% of all freshman biology majors' GPAs lie between 2.31 and 3.43.

Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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