Figure ABCD is a kite.

Kite A B C D is shown. Sides A B and B C are congruent. The length of A B is 3 x + 1 and the length of B C is 22. Sides A D and C D are congruent. The length of A D is 4 x.

What is the length of line segment CD?

7 units
8 units
28 units
35 units

Answer:

Therefore,

[tex]Segment\ AB \cong Segment\ AB[/tex] ....Reflexive Property.

Step-by-step explanation:

Reflexive Property :

Here it is given When

[tex]Segment\ AB \cong Segment\ AB[/tex]

AB is Equal to itself, Hence it is the Reflexive Property.

Therefore,

[tex]Segment\ AB \cong Segment\ AB[/tex] ....Reflexive Property.

Answer:

x=20.8 units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

In a circle, perpendicular bisector of a chord passes through the center of a circle

That means

x/2 is the base of the right triangle of the figure

Applying the Pythagorean Theorem in the right triangle

[tex]12^2=6^2+(\frac{x}{2})^2[/tex]

Solve for x

[tex]144=36+\frac{x^2}{4}\\\\\frac{x^2}{4}=144-36\\\\\frac{x^2}{4}=108\\\\x^2=432\\\\x=20.8\ units[/tex]

Answer:

Step-by-step explanation:

j + p = 178

j = p + 10

p + 10 + p = 178

2p + 10 = 178

2p = 178 - 10

2p = 168

p = 168/2

p = 84 <==== Phil's score

j = p + 10

j = 84 + 10

j = 94 <====Jerry's score

Final answer:

Jerry scored 94 and Phil scored 84.

Explanation:

To find Jerry and Phil's scores, we'll set up two equations based on the given information. Let's say Jerry's score is represented by 'J' and Phil's score is represented by 'P'. We know that Jerry scored 10 points higher than Phil, so J = P + 10. We also know that their scores combined equal 178, so J + P = 178. Now we can solve these two equations to find each student's score. Substituting the first equation into the second equation, we get (P + 10) + P = 178. Simplifying this equation gives us 2P + 10 = 178. Subtracting 10 from both sides gives us 2P = 168. Finally, dividing both sides by 2 gives us P = 84. So Phil's score is 84. Substituting this value back into the first equation, we get J = 84 + 10 which gives us J = 94. Therefore, Jerry's score is 94.

Answer:

George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

George fell asleep a fifth of the way

He awoke up when he still had to travel a quarter of the distance that he had traveled while sleeping

2. For what part of the journey had he been asleep?

George fell asleep a fifth of the way: 1/5 of the total distance traveled and 4/5 of the distance away from his grandma

When he awoke up = 1/4 * 4/5 = 1/5

He had been asleep = 5/5 - 1/5 -1/5 = 3/5

It means George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma

The price of gasoline in this week is 1.05g. Option C

Step-by-step explanation:

Given,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased by 5% this week.

To find the price of gasoline this week.

Formula

If an original price of an object a increased by b% the final price will be = a×[tex]\frac{100+b}{100}[/tex]

So,

The price of gasoline in this week = g×1.05 = 1.05g

[ Please note: Here option C and E have same value. So, both are correct].

The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.

Given that,

Last week the price, in dollars, of a gallon of gasoline was g.

This week the price of gasoline per gallon increased by 5%.

We have to determine,

Which expressions represent this week's price, in dollars, of a gallon of gasoline?

According to the question,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased = 5% = 0.05

The expressions represent this week's price, in dollars, of a gallon of gasoline is,

= Price of gallon last week + Price of gallon increased this week

= g + 0.05g

= (1 + 0.05)g

= 1.05g

Hence, The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.

For more details refer to the link given below.

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The average speed of John and Alice are determined first by dividing the total distance by the total time taken. The ratio of the average speeds is 25:45 or in simplified form, 5:9. Therefore, the correct answer to the question is (c) 5:9.

To find the ratio of the average speed of John to Alice, we first need to calculate their average speed individually. The average speed is obtained by dividing the total distance covered by the total time taken.

For John, his average speed would be 150km/6 hours = 25km/h. For Alice, her average speed would be 180km/4 hours = 45km/h.

So, the ratio of the average speed of John to Alice would be 25 : 45. In simplest form, this ratio becomes 5 : 9 (divided both numbers by 5).

Therefore, the answer is (c) 5:9.

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Answer:

the middle sequentially in a list of numbers (sorted from lowest to highest)

Step-by-step explanation:

for example, in the dataset 2, 4, 6, 8, 10, 6 would be the median because it is in the middle when sorted properly

Answer: The median is the middle value in the list of numbers

Step-by-step explanation:

For example: 5,3,7,10,22,12,15,100,98

The median is 22 because it is in the middle of all the number displayed

Answer:

The slope of the line is: 1

The y-intercept is: -3

You can graph the line using the slope and y-intercept, or two points.

Answer:

1.

Step-by-step explanation:

The general form of a line is y = mx + c   where m = the slope.

y = x - 3

or we can write it as y = 1x - 3

- so the slope is 1.

Step-by-step explanation:

If you find my answer helpful...mark it as brainliest.

An equation is created to solve for the brother's age: b - 18 = 19. By adding 18 to both sides, we determine the brother is 37 years old.

To solve for the brother's age, you need to create an equation based on the information given. Since the sister is 19 years old, and the brother says his age minus eighteen is equal to the sister's age, the equation is: b - 18 = 19.

Now, solve for b (the brother's age) by adding 18 to both sides of the equation:

Therefore, the brother is 37 years old.

Answer:

No Solution.

Step-by-step explanation:

2x+3y=4

4x+6y=9

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

-2(2x+3y)=-2(4)

4x+6y=9

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

-4x-6y=-8

4x+6y=9

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

0=1

no solution

Answer:

No solution.

Step-by-step explanation:

2x + 3y = 4

4x + 6y = 9

Multiply both sides of the first equation by -2. Then write the second equation below it and add them.

       -4x - 6y = -8

+       4x + 6y = 9

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

           0 + 0 = 1

Since the statement 0 = 1 is false, there is no solution to this system of equation.

Answer:

There are 71 students that are left

Step-by-step explanation:

Let's calculate the number of students left this way:

Total students = 30 * 6 = 180

Students that went to the the slides = 42

Students that went to the the swings = 28

Students that went to the the swings = 39

Students left = Total students - Students that went to the the slides - Students that went to the the swings - Students that went to the the swings

Replacing with the real values, we have:

Students left = 180 - 42 - 28 - 39

Students left = 180 - 109

Students left = 71

Answer:

4 inches

Step-by-step explanation:

express the mixed fraction in improper form

3 1/4  = 13/4

4 3/4  = 19/4

hence total growth

=  3 1/4  +  4 3/4

=  13/4 + 19/4

= (13+19)/4

= 32/4

= 4 inches

Answer:

8 inches.

Step-by-step explanation:

3 1/4 + 4 3/4

= 3 + 4 + 1/4 + 3/4

= 7 + 4/4

= 7 + 1 = 8 inches.

Answer:3

Step-by-step explanation:

Answer:

Lindsey bought 3 posters.

Step-by-step explanation:

$51.20 - $35 = $16.20

$16.20 ÷ $5.40 = 3 Posters

The sum of first 46 positive and odd numbers is 2116

Solution:

Given that we have to find the sum of first 46 positive and odd numbers

The sum of first "n" natural odd numbers which are positive is given as:

[tex]Sum = n^2[/tex]

Here, n = 46

Therefore,

sum of first 46 positive and odd numbers = [tex]46^2[/tex]

sum of first 46 positive and odd numbers = [tex]46 \times 46 = 2116[/tex]

Thus the sum of first 46 positive and odd numbers is 2116

Answer:

8

Step-by-step explanation:

Notice:

32 = (8 x 4)

72 = (8 x 9)

Hence,

32 + 72

= (8 x 4) + (8 x 9)       (factorize out the 8)

= 8 x (4 + 9)

therefore the musing number is 8

Answer:

Step-by-step explanation:

32  + 72 = 8*4 + 8* 9

= 8* (4 + 9)

So 8 will come in the blank

Step-by-step explanation:

The exponent form of the given product is given by 8³

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here: The product of 8×8×8

We know by the law of exponents that

a×a×a=a³

Thus 8×8×8=8³

Hence, The exponent form of the given product is given by 8³

Learn more about exponents here:

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Answer:

Mrs. McCarr buys 90 markers

Step-by-step explanation:

10 markers per package × 9 packages of markers = 90 markers in total

90 markers because 10 times 9 equals 90

Answer:

[tex]h(0)=400[/tex]

The above function value for [tex]h(0)[/tex] shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

Step-by-step explanation:

Given:

The quadratic function that models the height of the baseball above the ground in feet , [tex]t[/tex] seconds after it was dropped is given as:

[tex]h(t)=-16t^2+400[/tex]

To find [tex]h(0)[/tex] and interpret the meaning of the function value in contect of the problem.

Solution:

In order to find [tex]h(0)[/tex], we will replace [tex]t=0[/tex] in the given function as [tex]h(t)[/tex] is a function of time [tex]t[/tex].

Thus, we have:

[tex]h(0)=-16(0)^2+400[/tex]

[tex]h(0)=16(0)+400[/tex]

[tex]h(0)=0+400[/tex]

[tex]h(0)=400[/tex]  (Answer)

The above function value for [tex]h(0)[/tex] shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

Answer:

35

Step-by-step explanation:

put 7 instead x and it will be 5*7 that is 35

448 square inches.

The surface area of the box is 448 square inches so that is the least amount of paper needed to cover the box.

Answer:204

Step-by-step explanation: Just that good.

Amanda learns 2.5 recipes per week, so over 6 weeks of training, she would be expected to learn 15 appetizer recipes.

To establish the rate of Amanda learning new appetizer recipes, we need to determine the relationship between time (in weeks) and the number of recipes she learned. After 2 weeks of training, she learned 5 recipes, so we can assume that she learns at a rate of 5 recipes per 2 weeks, or 2.5 recipes per week.

Consequently, to estimate how many recipes she will learn after 6 weeks, we multiply the rate by the amount of weeks, which is: 2.5 recipes per week * 6 weeks = 15 recipes. Therefore, Amanda would be expected to learn 15 appetizer recipes after 6 weeks of training.

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Answer:

Tangent segments from the same point outside the circle are congruent. This Geometric Theorem allows you to set up the problem and solve for x.

Step-by-step explanation:

Answer:Tangent segments from the same point outside the circle are congruent. (c) i got it right on USATESTPREP

Answer:

21/45

Step-by-step explanation:

please give me brainliest i just need 4 more

The number of kids attending the circus is 1300.

Let's denote:

- ( K ) as the number of kids attending the circus.

- ( A ) as the number of adults attending the circus.

Given:

- The price of a kid's ticket is $2.50.

- The price of an adult's ticket is $6.

- The total ticket sales is $7,150.

- The number of kids attending the circus is twice the number of adults.

We can set up a system of equations based on the given information:

1. The total ticket sales:

[tex]\[ 2.50K + 6A = 7150 \][/tex]

2. The number of kids attending the circus is twice the number of adults:

[tex]\[ K = 2A \][/tex]

Now, we can solve this system of equations.

We can substitute the expression for ( K ) from equation 2 into equation 1:

[tex]\[ 2.50(2A) + 6A = 7150 \][/tex]

[tex]\[ 5A + 6A = 7150 \][/tex]

[tex]\[ 11A = 7150 \][/tex]

Now, solve for ( A ):

[tex]\[ A = \frac{7150}{11} \][/tex]

[tex]\[ A \approx 650 \][/tex]

So, the number of adults attending the circus is approximately 650.

Now, we can find the number of kids attending the circus using the expression we found for ( A ) in terms of ( K ):

[tex]\[ K = 2A \][/tex]

[tex]\[ K = 2 \times 650 \][/tex]

[tex]\[ K = 1300 \][/tex]

So, the number of kids attending the circus is 1300.

Answer:

Step-by-step explanation:

Simple interest = [tex]650*\frac{3}{100}=$19.5[/tex]

End of first year = 650+19.5 = $669.50

End of second year = 669.50+19.5 = $ 689

End of third year = 689+19.5 = $708.50

End of fourth year = 708.50 +19.5 = $ 728

End of fifth year = 728 +19.5 = $747.50

Answer:

put a pic of the question

Step-by-step explanation:

plz

Answer:

130

Step-by-step explanation:

700 - 50 = 650

650/5 = 130

Answer:

150 words

Step-by-step explanation:

k = 700....koko knows 70 words

k = 5c - 50....this is 50 fewer then 5 times the chimps(c)

5c - 50 = 700

5c = 700 + 50

5c = 750

c = 750/5

c = 150 <=== the chimp, Washoe, knew 150 words