Use the figure below.


Select all the lines in the proof of △ABC≅△CDA that have the correct justification.

∠ACB≅∠CAD, Alternate Interior Angles Theorem

△ABC≅△CDA, SAS Triangle Congruence Theorem

∠BAC≅∠DCA, Alternate Interior Angles Theorem

AB || CD and BC || AD, ASA Triangle Congruence Theorem

AC≅AC, Reflexive Property of Congruence

Answer:

There are 16 multiple choices and 6 short answers.

Step-by-step explanation:

Let the number of multiple choice questions be x and the number of short answer questions be y.

x + y = 22 (total number of questions)

4x + 6y = 100 (total number of points)

x = 22 - y

4(22 - y) + 6y = 100

88 - 4y + 6y = 100

2y = 100 - 88

y = 6

x + 6 = 22

x = 16

Hence, there are 16 multiple choices and 6 short answers.

Hope this helped!

Answer:

x ≥ -1/4

Step-by-step explanation:

8 -5 ≥ -12x

3 ≥ -12x

Divide both sides by negative 12 then flip the inequality sign.

x ≥ -1/4

The values of the domain for which the function below is undefined is {-4}

The value of the domain where is a function is undefined is the point where the denominator is zero

Equate the denominator to zero

x + 4 = 0

Subtract 4 from both sides

x + 4 -4 = 0 - 4

x = - 4

Hence  the values of the domain for which the function below is undefined is {-4}

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Answer:

to examine the ratio y/x (instead of x/y). If the x and y coordinates form proportional relationships, then there is some non-changing number (a constant) that when multiplied times x will create y. In this example, that number is 3 (y = 3x), and is called the constant of proportionality.

Step-by-step explanation:

Answer:

In a graph the line must pass through the origin and it has to be a straight line,

In an table the y over x has to be the same for each one

Answer:

C

Step-by-step explanation:

2·π·6·10+2·π·6^2

Answer:

602.88 in^2

Step-by-step explanation:

A=2πrh+2πr^2

A=2(3.14)(6)(10)+2(3.14)(6^2)

A=376.8+226.08

A=602.88

Answer:

look at the pic below!

Step-by-step explanation:

Answer:

17. yes - 9.95

18. yes - 9.45

19. no - 10.01

20. no 10.01

21. yes 9.86

Answer:

-2x

Step-by-step explanation:

Graph

y > −2x + 3

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Find the values of m and b using the form y = mx + b. m = −2

b = 3

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: −2

intercept: (0, 3)

Graph a dashed line, then shade the area above the boundary line since y is greater than

−2x + 3.

y > −2x + 3

Answer:

5

Step-by-step explanation:

If the plot is like this were the students are the dots and the number of books are the numbers so your answer would be 5 students

1               has 1 dot

2              has 2 dots

3              has 2 dots

4              has 3 dots

5               has 1 dot

6               has 2 dots

7               has 3 dots

8                has 1 dot

The number of students who reads 3 or fewer books is 10 students. Therefore, option C is the correct answer.

Given that, the line plot shows the number of books read by 15 students over the summer.

We need to find out how many students read 3 or fewer books.

A Line plot can be defined as a graph that displays data as points or checks marks above a number line, showing the frequency of each value. Here, for instance, the line plot shows the number of ribbons of each length.

Now,

The line plot depicted shows, the number of books read by 15 students.

Books read                   Number of Students

 0                                                 0              

 1                                                  1

 2                                                 2

 3                                                 2

 4                                                 3

 5                                                 1

 6                                                2

 7                                                3

 8                                                1

 9                                                0

Number of students who read more than 3 books

= 3 + 1 +2+3+1+0

= 10 students

The number of students who reads 3 or fewer books is 10 students. Therefore, option C is the correct answer.

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Answer:

good luck might be 8

Step-by-step explanation:

Answer:

y = -5x -12

Step-by-step explanation:

-5x - y = 12

=> -(5x + y) = 12

=> 5x + y = -12

=> y = -5x -12

Answer:

2x + y = -3 standard form

Answer: C) y=-2+2

Step-by-step explanation: Rise over run says that the slope is -2 and the line hits the y axis at +2 so the equation would be y = -2 + 2.

Answer:

The answer is 2.

Step-by-step explanation:

Put the numbers in order, the one that appears most often is the mode.

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

43x^15+43x^5= 43x^20

k=13

Step-by-step explanation:

180 =(4k-7) + (3k+6) +90

180= 7k+89

-89 -89

91= 7k

÷7 ÷7

k=13

Answer:

$198,000

Step-by-step explanation:

Since Mr. and Mrs. Suralbo are married and filing jointly, they would fall into the tax slab of 35% as their taxable income ranges between $414,701 to $622,050.

Taxable income = $568,986

Tax rate = 35%

Income tax due = $568,000 * 35/100

= $198,000

Thus, the income tax due for Mr. and Mrs. Suralbo would be $198,000.

Answer:

899.30

Step-by-step explanation:

Answer: 18119.10

Step-by-step explanation:

Shelly's commision in March will be calculated as:

= (3% × 95,900) + (3% × 129,650) + (3% × 378,420)

= (0.03 × 95900) + (0.03 × 129650) + (0.03 × 378420)

= 2877 + 3889.5 + 11352.6

= 18119.10

Her commission will be 18119.10

Answer:

The answer is the third graph or c

Step-by-step explanation:

I just did the test and the other guy is correct to.

Answer:

If you are on edg 2021 then it is the graph with the line going down from 0 to the bottom left square of the graph

Step-by-step explanation:

So it is the first graph.

Given:

The net value of the bakery (in thousands of dollars) t months after its creation is modeled by

[tex]v(t)=2t^2-12t-14[/tex]

Paul wants to know what his bakery's lowest net value will be.

To find:

The function in a different form (factored or vertex) where the answer appears as a number in the equation.

Solution:

Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.

We have,

[tex]v(t)=2t^2-12t-14[/tex]

[tex]v(t)=2(t^2-6t)-14[/tex]

Adding and subtract square of half of 6 in the parenthesis, we get

[tex]v(t)=2(t^2-6t+3^2-3^2)-14[/tex]

[tex]v(t)=2(t^2-6t+3^2)+2(-9)-14[/tex]

[tex]v(t)=2(t-3)^2-18-14[/tex]               [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]v(t)=2(t-3)^2-32[/tex]

Vertex form:

[tex]f(x)=a(x-h)^2+k[/tex]

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the of the function is (3,-32).

Therefore, the vertex form is [tex]v(t)=2(t-3)^2-32[/tex] and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.

Answer:

v(t) = 2(t - 3)^2 - 32. and -32

Please mark the other one Brainiest.

Hope that this helps!

Answer:

it's 9n + 6

Step by step :

-9 + 6 = -3

-3 +6 = 3

3 + 6 = 9

9 + 6 = 15

Answer:

<EFG

Step-by-step explanation:

Answer:

$6

Step-by-step explanation:

Let x be the amount Michael collects from each repeat customer

Since we are given that he charged the new subscribers $3 less than the repeat customers.

So, amount collects from each new customer = x-3

Since he had 40 repeated customers

So, the amount Michael collects from 40 repeat customer = $40x

Since he has 18 new customers

So, amount Michael collects from 18 new customer =$18(x-3)

We are also given that his week, Michael collected $468 for delivering newspapers.

Answer:

$6

40x+ 18 (x-3) = 468

Answer:

-24.66

Step-by-step explanation:

Brainliest??

Answer:

dang

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

You can model the bills using w and p for the price of a waffle and pancake, respectively.

  10w + 4p = 14

  5w +8p = 10

Subtract half the first equation from the second:

  (5w +8p) -(1/2)(10w +4p) = (10) -(1/2)(14)

  6p = 3 . . . . . . . simplify

  p = 0.50 . . . . . divide by 6

  10w + 4(0.50) = 14 . . . . substitute into the first equation

  10w = 12 . . . . . . . . . . . . subtract 2

  w = 1.20 . . . . . . . . . . . . .divide by 10

A waffle costs $1.20; a pancake costs $0.50.

Answer: 2+1/x+3

Step-by-step explanation:

2 to the power of 4 = 2 x 2 x 2 x 2 = 16

The answer is 16

Answer: 16

Step-by-step explanation:

2x2x2x2=16