Given: AB || DC, AD || BC
Prove:

Given: AB || DC, AD || BCProve:

Answers

Answer 1

Answer:

Reasons:

2. Opposite interior angles

4. Opposite interior angles

5. Same line

6. Congruence

Step-by-step explanation:


Related Questions

Find (f - g)(x)

f(x) = 3x2 – 2x
g(x) = 9x2 - X+7

A. -6x2 - x-7
B. 6x2 – x+7
C. 12x2 - x-7
D. -6x2 – 3x-7

Answers

Answer:

A

Step-by-step explanation:

We have the two functions:

[tex]f(x)=3x^2-2x\text{ and } g(x)=9x^2-x+7\\[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Hence, by substitution:

[tex]=(3x^2-2x)-(9x^2-x+7)[/tex]

Distribute:

[tex]=(3x^2-2x)+(-9x^2+x-7)[/tex]

Rearrange:

[tex]=(3x^2-9x^2)+(-2x+x)+(-7)[/tex]

Combine like terms:

[tex]=-6x^2-x-7[/tex]

Hence, our answer is A.

Answer:

Step-by-step explanation:

3x^2 - 2x - 9x^2 + x - 7

-6x^2 - x - 7

answer is A

-4(a-12) help me because I am really confused

Answers

Answer:

-4a+48

Step-by-step explanation:

Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.

-4*a + (-4*(-12))

= -4a+(48)

= -4a+48

Hope this helps!

Answer:

-4a+48

Step-by-step explanation:

Multiply -4 to a and -12

-4a+48

will give brainliest. Which of the binomials below is a factor of this trinomial? 3x^2+16x+ 5 A- 3x-5 B. 3x-1 C. 3x+1 D. 3x+5

Answers

Answer: 3x + 1

Step-by-step explanation:

A p e x

Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)

Answers

Answer:

2

Step-by-step explanation:

Find the sum.
(8b + 8) + (7m – 2) + (4n + 4)
(8b + 8) + (7m - 2) + (4n + 4) =
(Simplify your answer.)

Answers

Answer:

8b + 7m + 4n = -10

Step-by-step explanation:

(8b + 8) + (7m – 2) + (4n + 4)

First thing to do is to try to open the brackets, so we have

8b + 8 + 7m - 2 + 4n + 4 =

Next, we collect like terms, so that we have

8b + 7m + 4n + 8 - 2 + 4 =

8b + 7m + 4n + 10 =

And rearranging, we have that

8b + 7m + 4n = -10

Solve (2x – 1)2 = 9.
Question 19 options:

A)

x = –2, 1

B)

x = 2, 1

C)

x = 2, –1

D)

x = –2, –1

Answers

C because you would need to simplify the xy to the equation :)
Take the square root of each side of the equation to set up the solution for
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Remove the perfect root factor
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under the radical to solve for
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Simplify the right side of the equation.
Tap for more steps...
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The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
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1

How is the Pythagorean theorem related to the distance formula?Explain.

Answers

Answer:

If you plot 2 points on a graph right, you can form a triangle between the 2 points. You can determine the legs's sizes using the coordinates of the points. Pythagorean theorem is then used to find the hypotenuse, which IS the distance from one point to the other. Hope that helps.

Step-by-step explanation:

Answer:

Sample Response: Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The 

Step-by-step explanation:

The difference of 10x and 3x is less than or equal to the sum of 4x and 21.

Answers

Answer:

«means less than or equal to

x«7

Step-by-step explanation:

10x-3x«4x+21

7x«4x+21

7x-4x«21

3x«21

divide both sides by 3

x«21/3

3 will divide 21, 7times

x«7

A triangle has a base length of 12 inches and a height of 14 inches. From that
information, answer the following:
What is the area?

Answers

a= bh(1/2)
a=12(14)(1/2)
a= 168(1/2)
a= 84inches

how many solutions does -2(14-12x)= -4(10-6x) have ?

Answers

Answer:

infinite

Step-by-step explanation:

Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =

Answers

Answer:

I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.

The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.

To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.

Given the step function:

g(x) =

-4, x < -1

-1, -1 ≤ x < 2

3, 2 ≤ x < 4

5, x ≥ 4

Let's evaluate the step function for each input:

g(-2):

Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.

g(2):

Since 2 is less than or equal to 4, the condition for the second interval is satisfied.  Therefore, g(2) = 3.

g(5):

Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.

Hence, we have:

g(-2) = -4

g(2) = 3

g(5) = 5

Learn more about the functions here:

brainly.com/question/12431044

#SPJ2

find the slope of the line that passes through (8,6) and (4,1).​

Answers

Answer:

[tex] \frac{5}{4} [/tex]

Step-by-step explanation:

Slope [tex] = \frac{y2 - y1}{x2 - x1} [/tex]where y2=1 , y1=6 , x2=4 , x1=8.

Tell whether the angles are adjacent or vertical. Then find the value of x. x =?

Answers

Answer:

The triangle of the 360 squared by the square

1.
Draw a linelon the coloured sheet. See Fig. 1.1.
1
Fig. 1.1​

Answers

Answer:

huh?

Step-by-step explanation:

the table above shows the number of miles four different cars traveled and the amount of gasoline each car consumed. which car has the best mileage?

PLEASE HELP

Answers

Answer:

A. Pontiac

Step-by-step explanation:

Camry's mileage = Miles travelled / gallons of fuel used

= 196 / 11

= 17.82

Pontiacs mileage = Miles travelled / gallons of fuel used

= 220 / 13

= 16.92

Bluck's mileage = Miles travelled / gallons of fuel used

= 356 / 15

= 22.25

Toyotas mileage = Miles travelled / gallons of fuel used

= 583 / 21

= 27.76

The car with the best mileage is Pontiac

11. A loading crew estimates that it can load 8 boxes in 20 minutes. At this rate,
how many boxes could it load in 1 hour?

Answers

okokokokokokokokokok

Answer:

24

Step-by-step explanation:

If 20 × 3 = 60 which is an hour then you do 8 × 3 = 24.

So 24 boxes

values for 24/25 ÷ 4/5.

Answers

The answer is 1.2 hope this helped ;)

Answer:

1.2

Step-by-step explanation:

24/25 ÷ 4/5

Change the numbers from division to decimals. PS: this is the same thing just written much easier.

0.96/0.8

1.2

whaz upppppppppppppp​

Answers

Answer:

Hellp

Step-by-step explanation:

Answer:

what's up how's it going

Please hurryy
Find the slope of a line that goes through these two points: (4, -7) and (3,
-8)

Answers

Answer:

1

Step-by-step explanation:

I WILL GIVE BRAINLIEST IF CORRECT!!!!!!!!
Mrs. Kunannan checked her class rosters at the beginning of the year. The ratio of girls to boys in her class is 3 to 7. If she has 50 total students in her class, how many students are boys?

Answers

Answer:

35

Step-by-step explanation:

How can you show that a + 2 = 5 is equivalent to a = 1

Answers

Step-by-step explanation:

You cant because a=3

Answer:

a+2=5 is not equivalent to a=1

in this situation a must equal 3 for the equation to be true.

Step-by-step explanation:

Please help I'll give you brainliest and a lot of points

Answers

Answer:

about 50

Step-by-step explanation:

they a move up 5 minutes eace half mile

dont come at me if it is wrong :)

There are one hundred forty-two students in a high
school band. These students represent two ninth
of the total students in the high school. How many
students attend the school?

Answers

Answer:

639 students attend the highschool

Step-by-step explanation:

Find one-ninth of the students

Since 142 students is two-ninths of students, we would divide

1) 142/2=71

71 students is only one ninth of the students, we need to find 9/9 of students

2) 71*9 = 639

639 students attend school

There is a total of 639 students in the school.

What is a fraction?

If we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Let's say the number of students in the school is x

Then,

Since 2/9 of it are in the school band

So,

(2/9) x = 142

x = 639

Hence "There is a total of 639 students in the school".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answers

Answer:

The inverse of the function f(x) is h(x) = 4x + 48(D)

Step-by-step explanation:

To find the inverse of a function do these steps

Replace f(x) by ySwitch x and ySolve to find the new yReplace y by [tex]f^{-1}[/tex](x)

Let us do these steps to solve the equation

f(x) = [tex]\frac{1}{4}[/tex]x - 12

→ Replace f(x) by y

∴ y = [tex]\frac{1}{4}[/tex]x - 12

→ Switch x and y

x =  [tex]\frac{1}{4}[/tex]y - 12

→ Add 12 to both sides

∵ x + 12 =  [tex]\frac{1}{4}[/tex]y - 12 + 12

∴ x + 12 =  [tex]\frac{1}{4}[/tex]y

→ Multiply each term by 4

∵ 4(x) + 4(12) = 4([tex]\frac{1}{4}[/tex]y)

∴ 4x + 48 = y

→ Switch the two sides

y = 4x + 48

→ Replace y by h(x)

∴ h(x) = 4x + 48

The inverse of the function f(x) is h(x) = 4x + 48

Answer:

h(x) = 4x + 48 ⇒ (D)

Step-by-step explanation:

i just did it

plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2x & 3x

Step-by-step explanation:

sum: 2x + 3x = 5x

product: 2x * 3x = 6[tex]x^{2}[/tex]

Can somebody who knows how to do this plz help answer all the questions correct..thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D

Answers

Answer:

1) 50/100 - 50%

2) 70/100 - 70%

3) 60/100 - 60%

4) 68/100 - 68%

5) 38/100 - 38%

6) 0.05/100 - 5%

-3x + 18 = 6

x = ___
show work please

Answers

Answer:

x=4

Step-by-step explanation:

-3x + 18 = 6

First, we have to get x alone. So, we have to subtract 18 from 6.

6 - 18 = -12

-3x = -12

-12/-3 = 4

x=4

Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8

Answers

Answer:

n-8

Step-by-step explanation:

difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.

x - 35 > 15 I cant figure this out pls help me 5 pts

Answers

Answer:

x can be anything higher than 45. For example, x can be 50. That would be 20 (or x) is greater than (>) 15.

Step-by-step explanation:

Hope this helps. If you found it useful, brainliest would be great.

Write a compound inequality for the graph shown

Answers

Answer:

-1 ≤ x < 6 [ x ≥ -1 and x < 6 ]

Step-by-step explanation:

This is correct

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