Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.
Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ≅ CY.

What is true about the areas of the trapezoids?

Each area is equal to half of the area of ABCD.
The area of AXYD is less than the area of BXYC.
The area of AXYD is greater than the area of BXYC.
Each area is equal to the area of ABCD.

Answer:

<-28, -8>

Step-by-step explanation:

you multiply the values by 4 because that's what the question tells you to do.

if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)

Answer:

Step-by-step explanation:

1). 2x + y = 12 -----(1)

   x = 9 - 2y -------(2)

   By substituting the value of x from equation (2) to equation (1)

   2(9 - 2y) + y = 12

   18 - 4y + y = 12

   18 - 3y = 12

   3y = 18 - 12

   y = 2

   By substituting the value of x in equation (2)

    x = 9 - 2(2)

    x = 9 - 4

    x = 5

2). x + 2y = 9 ------(1)

    2x + 4y = 20

    x + 2y = 10 -------(2)

    Since, both the equations are the parallel equations,

    Therefore, No solutions will be the answer.

3). x + 3y = 16 -------(1)

    2x - y = 11 ---------(2)

    Multiply equation (2) by 3 the add to equation (1)

    6x - 3y + (x + 3y) = 16 + 33

    7x = 49

     x = 7

     From equation (1),

     7 + 3y = 16

     3y = 9

     y = 3

4). y = 11 - 2x -------(1)

    4x - 3y = -13 -------(2)

    By substituting the value of y from equation (1) to (2),

    4x - 3(11 - 2x) = -13

     4x - 33 + 6x = -13

     10x = 33 - 13

     10x = 20

     x = 2

      From equation (1)

     y = 11 - 2(2)

    y = 7

5). y = 10 + x -------(1)

    -3x + 3y = 30

    -x + y = 10

     y = 10 + x ------(2)

    Equations (1) and (2) are same.

    Therefore, Infinite solutions will be the answer.

6). 2x + y = 11 --------(1)

    x - 2y = -7 ---------(2)

    Multiply equation (1) by 2 then add to equation (2)

    4x + 2y + (x - 2y) = 22 - 7

    5x = 15

    x = 3

    From equation (2)

    3 - 2y = -7

    2y = 3 + 7

     y = 5

Step-by-step explanation:

Volume of the block

[tex] = lbh[/tex]

[tex] = \frac{3}{8} \times \frac{1}{8} \times \frac{5}{8} [/tex]

[tex] = \frac{3 \times 5}{ {8}^{3} } [/tex]

[tex] = \frac{15}{512} [/tex]

Answer:

ans is C................

Answer:

20.94021

Step-by-step explanation:

mark me brainlist

Answer:

53.92

Step-by-step explanation:

5 miles =  8 km

1 miles = 1.6 km

33.7 x 1.6 = 53.92

Answer:

its 2•8

u add all together then divide it number of times e.g 2+3+4+5+0+1+3+3+4+3=28

so 28/10= 2•8

Answer:

mean=sum of all the data number of the data

= 2+3+4+5+0+1+3+3+4+3/10

= 28/10

= 2.8

I hope this helps

Step-by-step explanation:

a)

g(3) = 9

b)

g(-1) = 1

c)

g(-x) = x²

d)

g(2y) = 4y²

e)

g(1 + h) = 1 + h² + 2h

using the identity (a +b)² = a² + b² + 2ab

Answer:

a) g(3) = 9

b) g(-1) = 1

c) g(-x) = x²

d) g(2y) = 4y²

e) g(1+h) = 1 + 2h + h²

Step-by-step explanation:

a) when x = 3 ,

   g(3) = 3² = 9

b) when x = -1 ,

   g(-1) = (-1)² = 1

c) when x = -x ,

   g( -x ) = (-x)² = x²

d) when x= 2y ,

   g( 2y ) = (2y)² = 4y²

e) when x = 1 + h ,

   g( 1 + h ) = ( 1 + h )² = 1 + 2h + h²

Answer:

19) 100

20) 360 - 90 = 270

21) 360- 125 = 235

22) 45

Step-by-step explanation:

Central angles and the arcs they create are congruent.

Answer: -42

Step-by-step explanation:

-4(n-6)+m

and then they give you the values of each

basically what you do is put the value of m into where it shows on the equation as well as the n.

-4(-5-6)+2 and then you should get

-42

Answer:

5 / 648

Step-by-step explanation:

Given tbe sample space for a pair of dice attached below :

Sample space for a pair of dice = 6² = 36

Rolling a 3 first :

Recall, probability = required outcome / Total possible outcomes

P(rolling a 3). = 2 / 36 = 1 /18

Probability of rolling a 6 (second roll)

P(rolling a 6) = 5 / 36

Hence,

P(3) then P(6) ;

1 / 18 * 5/36 = 5 / 648

Hello!

f(x) = x² + 12x <=>

<=> a = 1, b = 12 <=>

<=> x = -12/2×1 <=>

<=> x = -6 <=>

<=> f(-6) = -36 <=>

<=> (-6; -36)

Good luck! :)

Answer: $11,808

Step-by-step explanation:

5000 - 2048 = 2952

By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.

Each shirt has 9 buttons, therefore the number of shirts can be calculated as:

2952 ÷ 9 = 328.

Since the shirts sold at $36 each and there are 328 shirts made, the total amount can be calculated as $36 · 328 = $11,808

(I hope this is right :\)

The total amount collected by the tailor  $11,808.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

A tailor had 5000 buttons.

He sawed 9 buttons on each shirt and had 2048 buttons left.

Then, he sold all shirts at $36 each.

now,

5000 - 2048 = 2952

By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.

Each shirt has 9 buttons, therefore the number of shirts can be calculated as:

2952 ÷ 9 = 328.

Since the shirts sold at $36 each and there are 328 shirts made,

the total amount can be calculated as $36 · 328

                                                             = $11,808

Hence,  the total amount collected by the tailor  $11,808.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

Answer:

1610

Step-by-step explanation:

Answer:

1610

Step-by-step explanation:

you can easily get the solution without a calculator:

1400

+ 140 (+10%)

+ 70 (+5%)

= 1400 + 210

Answer:

72

Step-by-step explanation:

You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72

Here we are provided with a diagram of a triangle. We need to find out the length of the segment LM . As we can see that ,

∆ KNL ≈ MNL , [ By AAS ]

Therefore ,

⇒ KN = MN

⇒ 14x - 3 = 25

⇒ 14x = 25 + 3

⇒ 14x = 28

⇒ x = 2

Put this x = 2 in LM :-

⇒ LM = 9x + 5

⇒ LM = 9*2 + 5

⇒ LM = 18 + 5

⇒ LM = 23

Hence the required answer is 23 .

Answer:

a) 4-5 = -1

b) -6+6 = 0

c) 6+(-4) = 2

Answer:

a = - [tex]\frac{9}{2}[/tex] , b = - [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- [tex]\frac{9}{2}[/tex] )x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 14

  = (x - [tex]\frac{9}{2}[/tex] )² - [tex]\frac{81}{4}[/tex] + [tex]\frac{56}{4}[/tex]

  = (x - [tex]\frac{9}{2}[/tex] )²- [tex]\frac{25}{4}[/tex] ← in the form (x + a)² + b

with a = - [tex]\frac{9}{2}[/tex] and b = - [tex]\frac{25}{4}[/tex]

Answer:

a = 4.5

b = -6.25

Step-by-step explanation:

The given equation to us is ,

[tex]\implies y = x {}^{2} - 9x + 14[/tex]

And its given that it can we written in the form of ,

[tex]\implies (x + a) {}^{2} + b[/tex]

Where ,

Therefore ,

[tex]\implies y = x^2 -9x + 14 [/tex]

Multiplying 9x by 2/2 ,we have ,

[tex]\implies y = x^2 -\dfrac{2}{2}\times 9 x + 14 [/tex]

Adding and subtracting (9/2)² ,

[tex]\implies y = \bigg\{ x^2 -\dfrac{2}{2}\times 9 x + \bigg(\dfrac{9}{2}\bigg)^2 \bigg\} +14 -\bigg(\dfrac{9}{2}\bigg)^2[/tex]

Therefore , we can write it as ,

[tex]\implies y = \bigg( x + \dfrac{9}{2}\bigg)^2 + 14 - 20.25 \\\\\implies \underline{\underline{ y = \bigg( x + \dfrac{9}{2}\bigg)^2 - 6.25 }}[/tex]

Hence the value of a is 9/2 and b is -6.25 .

Answer:

w = 12 cm  and l = 20 cm

Step-by-step explanation:

9514 1404 393

Answer:

  (a) Micah's solution is wrong.

Step-by-step explanation:

After adding 5/2x to both sides, Micah should have obtained ...

  5/6 = 8

This would indicate there are no values of x that make the statement true.

Answer:he's right

Step-by-step explanation:

Answer:

Jamel would make $6.30 for 18 pounds of aluminum cans.

Step-by-step explanation:

Lets find the unit rate per pound:

3.50 ÷ 10 = 0.35

1 pound of aluminum cans = $0.35

To find how much it will cost to take 18 pounds of aluminum cans to a recycling plant, multiply the unit rate by 18 pounds:

0.35 x 18 = 6.3

Therefore, Jamal would make $6.30 for 18 pounds of aluminum cans.

Hope this helps

Answer:

12, 120,012

Step-by-step explanation:

Answer:

39.30°

Step-by-step explanation:

In ∆ KLM :-

Answer:  30 cans (buy them by the six-pack; so you'd buy 5 six-packs)

==============================================================

Explanation:

Let's say you buy six-packs only. Divide the amount of money you have over the cost per six-pack.

15/(2.59) = 5.7915 which rounds down to 5.

If you buy six-packs only, then you can buy a max of 5 of them. That gets you 5*6 = 30 cans of soda.

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

Now let's say you buy individual cans only. We'll use the same idea mentioned earlier but this time divide over 0.80

15/(0.80) = 18.75 which rounds down to 18

We round down because we can't buy that 19th can of soda (note how 19*0.80 = 15.2 which is larger than 15).

So if you buy individual cans only, then you can get a max of 18 cans.

We see that it's better to go with the six-pack option (in the first section) since we can get 30 cans compared to 18 cans.

Answer:

[tex]\angle A=90-72[/tex]

[tex]\angle A=18[/tex]

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

[tex]sin~72=\frac{b}{11}[/tex]

[tex]11\times sin~72=6[/tex]

[tex]b=10.5[/tex]

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

[tex]11\times cos~72=a[/tex]

[tex]a=3.4[/tex]

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

ANSWER:

a=3.4

b=10.5

∠A=18

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

hope it helps...

have a great day!!

Answer:

Distributive property.

Step-by-step explanation:

.

Answer:

holis polis trolis bsuslsgddnnbz

Answer:

yes it is all obtuse angles have measures greater than 90°.

Answer:

Yes it is. All obtuse angles have measures greater than 90.

Step-by-step explanation:

Reasoning It has to be Higher then 90 degrees to be called obtuse. This rule applys for all.

Hi!

These two angles are alternate interior angles, so they are congruent. Thus:

∠A = ∠B

6x + 5 = 4x + 45

Solve for x:

2x + 5 = 45

2x = 40

x = 20

Solve for ∠A by substituting in this value:

∠A = 6(20) + 5 = 125°