Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning coordinates as given, where RS¯¯¯¯¯ is the midsegment of trapezoid KLMN. Trapezoid K L M N on the coordinate plane. The vertices of the trapezoid are K begin ordered pair 0 commas 0 ends ordered pair, L begins ordered pair 2a comma 0 end ordered pair, M begin ordered pair 2d comma 2c end ordered pair, and N begin ordered pair 2b comma 2c end ordered pair. Segment R S is drawn with point R on segment K N and point S on segment L M. Drag and drop the correct answers to complete the proof. Since RS¯¯¯¯¯ is the midsegment of trapezoid KLMN, the coordinates of R are (b, Response area) and the coordinates of S are (, c). The slope of KL¯¯¯¯¯ is the Response area. The slope of RS¯¯¯¯¯is 0. The slope of NM¯¯¯¯¯¯¯ is 0. The slope of each segment is 0; therefore, the midsegment is parallel to the bases. choices - a, b,c,d a+d, 0, 1, 2

Answer:

16

Step-by-step explanation:

(3x +3) + (5x-2) + (3x+3) =180

3x +3 + 5x-2 + 3x+3 =180

11x +4=180

11x =180-4

11x=176

x=176/11

x= 16

Answer:

0.4*0.5=0.2

Step-by-step explanation:

each shaded area is 10 by something, so we can assume this model is representing decimals

the other sides are 4 and 5, and it is in 10, so it is 0.4*0.5

0.4*0.5=0.2

Answer:

Please mark as brainliest if you understood

Step-by-step explanation:

5 1/2

=11/2

=22/4

Therefore there are 22 quarters.

Answer:

1) A) 64 tickets

  B) $11

2) A) 20 rides

Step-by-step explanation:

1) a) set y to 37 because they made 37 dollars

37 = 0.50x + 5

32 = 0.50x.........subtract 5 from both sides

64 = x..................divide both sides by 0.50 to get x by itself

b) set x to 12 because x is the amount of ride tickets they bought

y = 0.50(12)+ 5

y = 6 + 5............multiply 12 by 0.50

y=11......................add

2) a) set both equations equal to each other to see when they will be equal

0.50x + 5 = 0.75x

0.50x = 0.75x - 5..........subtract 5 from both sides

0.50x - 0.75x = - 5........subtract 0.75x from both sides

-0.25x = - 5......................combine like terms

x=20...................................divide both sides by -0.25 to isolate x

Answer:

C

Step-by-step explanation:

324 = 4 [tex](3)^{2x}[/tex] ( divide both sides by 4 )

81 = [tex]3^{2x}[/tex] , that is

[tex]3^{4}[/tex] = [tex]3^{2x}[/tex]

Since bases on both sides are equal, both 3, then equate exponents

4 = 2x ( divide both sides by 2 )

2 = x → C

Combined Area Expression:

(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)

= 4(16 + x)(8 + x)

Area:

4(16 + 5)(8 + 5) = 4 * 21 * 13

= 1092 m^2

Answer:  - [tex]\frac{451}{25}[/tex]

Step-by-step explanation:

Answer:

C = 1530

Step-by-step explanation:

85% of 540 = 30% of C

0.85 * 540 = 0.3 * C

459/0.3 = 0.3C/0.3

C = 1530

Answer:

c = 1530

Step-by-step explanation:

First, convert the percentages to a decimal.

[tex]85\div100=0.85\\30\div100=0.30[/tex]

In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.

With that, you can write this equation:

[tex]0.85\times540=0.3\times c[/tex]

Now, just solve for c:

[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]

To confirm that:

[tex]0.85\times540=0.30*1530\\459=459[/tex]

Answer:

y = 3/2x + 4

Step-by-step explanation:

First, you find the slope(y1 - y2/x1 - x2) which you can subsitute to 10 - 7/4-2, which will get you 3/2 and you put that in the place of the slope (m). So now our equation is y=3/2x+ y-int, to find the y intercept, there is a method which you can use to find it is to time the x point in a set by the slope, and minus it using the y to find the y intercept. In this case, you time the 2 by 3/2, which will get you 3, and minus it by the y that is 7, and you will get 4

Answer:

20 cupcakes

15 cookies

Step-by-step explanation:

20*$1.75=$35

15*$0.75=$14.25

$35+$14.25=$49.25

Answer:

23 cupcakes and 12 cookies

Step-by-step explanation:

(x - 2)(x + 1) = ...

= x² + (-2 + 1)x + (-2•1)

= x² - x - 2

Answer:

11,536.89733 (rounded to 11,536.90)

Step-by-step explanation:

10,000(1+0.1)^1.5

P(1+r)^t

P=Principal

r=rate

t=time(in years)

Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation:

An "undefined slope" is a vertical line going through the x axis at 5.  The slope is undefined since there is no change in x for all values of y.  The means the slope, which is the change in y divided by the change in x, would be a fraction with a zero denominator.  This makes it undefined.  

One value of x, in this case x=5, will include all possible values of y.  There is no y-intercept, but the line has an x-intercept of 5.

Answer:

5

Step-by-step explanation:

h(w)=2(1)+3

h(w)=2+3

h(w)=5

please give me brainliest think took some thinking

Answer:

-5

Step-by-step explanation:

Plug the first equation into the expression

2y-1 = 2(-2) - 1 = -4 - 1 = -5

Answer:

-5

Step-by-step explanation:

2y - 1

2(-2) - 1

-4 - 5

-5

Answer:

16

Step-by-step explanation:

2 + 3 + 4 = 9

36/9 = 4

2 · 4 = 8

3 · 4 = 12

4 · 4 = 16

Answer:

-1.63

Step-by-step explanation:

Plug in the values listed into the equation

([388/1386] - 0.30) / √(0.30[1-0.30)/1386

-0.02006/0.01231

-1.63

Answer:

The slope of f(x) is greater than the slope of g(x)

Here is:

https://www.insta gram.com/p/CPqiSD4nxoD/?utm_medium=copy_link

Answer:

[tex]\frac{2^4^x + 4}{2^x + 1}[/tex]

The file includes the input of your equation, comment if the equation you input is a mistake.

Answer:

2 ^ 3(x+1)

Step-by-step explanation:

Assuming  2^(4x+4) / 2 ^(x+1)

when bases are equal and exponents are in division it becomes subtraction

=> 2 ^ (4x + 4 - (x + 1) )

=> 2 ^ (4x + 4 -x - 1)

=> 2 ^ (3x + 3)

=> 2 ^ 3(x+1)

=> [tex]2^{3(x+1)}[/tex]

Answer:

64

Step-by-step explanation:

4*2 is 8

Multiply 8*8

Answer:

the answer is 64

Step-by-step explanation:

8(4*2)

=8*8

=64

3j+1≥10

Subtract 1 from both sides.

3j ≥ 9

Then divide both sides by 3.

j ≥ 3

Answer:

11 and 88

Step-by-step explanation:

I just set up a system of equations:

x + y = 99,

x/y = 8

I decided to use the method of substitution which is expressing one variable in terms of the other and substituting it into the other equation.

To use substitution, I changed the second equation to:

x = 8y

And then, I substituted that value for x into the first equation:

8y + y = 99

And that means:

9y = 99

Hence, y = 11. To find the second number, just substitute 11 for y in the first equation to get:

x + 11 = 99

And that means x = 88.

Answer:

A = 10 + 3t

B = 3  + 4t

if  t = 12 , then A = 10 + 3(12) = $46,  B = 3 + 4(12) = $51.

So Garage A is cheaper for 12 hours

Step-by-step explanation:

hope this helped!

Answer:

15/3=5

Step-by-step explanation:

Crystal has played the piano for 5 times longer than Jane.

Answer:

Random Sample

Random Sample: Each member of the entire population has an equal chance of being selected. Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.

Step-by-step explanation:

Answer:

$48

Explanation:

24 Divided by 5 = 4.8 times 10 =48

Answer:

$56

Step-by-step explanation:

$10 divided 5＝$2

one bag $2

28bags＝$2 multiply 28＝$56

Answer:

46

Step-by-step explanation:

3x3=9

5x7=35

9+35=46

Answer:

44 inches

Step-by-step explanation:

Cut off the pertruding bit of the shape

3inches × 3 inches = 9 inches

5 inches × 7 inches = 35 inches

9 inches + 35 inches = 44 inches

Answer:

Step-by-step explanation:

domain is always the x-values, the first number of an ordered pair. and yes, the x and y values increase at a constant rate.

problem #1:

x   /   y

-2     -1

-1      -3

0      -5

1       -7

problem #4:

(5, 1) (6, 2) (7, -3) (8, 4) (9, 5)

hope this all helped ;)

mark me brainliest :D

Answer:

listed below

Step-by-step explanation:

x values are domain and y values are range

1) Domain = {-2, -1, 0, 1}

Range = {-7, -5, -3, -1}

4) Domain = {5, 6, 7, 8, 9}

Range = {-3, 1, 2, 4, 5}