Please help!! Picture is provided

Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC

Please Help!! Picture Is Provided Quad. ABCD Is A Trapezoid.XY Is The MedianXY = 12; AB=16 Find DC

Answers

Answer 1

Answer:

DC = 8

Step-by-step explanation:

The median is half the sum of the parallel bases, that is

[tex]\frac{AB+DC}{2}[/tex] = XY , substitute values

[tex]\frac{16+DC}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )

16 + DC = 24 ( subtract 16 from both sides )

DC = 8

Answer 2

Answer:

DC = 8

Step-by-step explanation:

The median XY of the trapezoid ABCD is half or the sum of AB and DC.

                    XY                                         = 1/2      ( AB + DC)

We need to find out DC so we can rewrite this equation isolating DC

XY = (1/2)(AB+DC), multiply both sides by 2

2XY = AB + DC, subtract from both sides AB

2XY - AB = DC, now substitute the given AB = 16 and XY = 12

2* 12 - 16 = DC , using the order of operations rules we multiply first

24 -16 = DC, subtract

8 = DC


Related Questions

7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;

Answers

here you go! i hope it helps

Gemma made 106 beaded necklaces . Leah made 145 beaded necklaces.


At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more? ( im using my brothers acc and he is 16)

Answers

Gemma made $34 more money than Leah :)

Answer: Leah made more money by 1,996 dollars more than Gemma,

Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars

What is the slope of the graph?

Answers

The slope is -1
Hope you get this
No Mistakes

solve the following equation
d) 0 = 12 + 2 ( m - 8 )
pls pls pls pls plz plz answer steps ​

Answers

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]m = 2[/tex]

Step-by-step explanation:

[tex]0 = 12 + 2(m - 8)[/tex]

remove the parentheses and distribute 2 through the parentheses

[tex]0 = 12 + 2m - 16[/tex]

calculate the difference

[tex]0 = - 4 + 2m[/tex]

move the variable to the left hand side and change its sign

[tex] - 2m = - 4[/tex]

divide both sides of the equation by -2

[tex] = m = 2[/tex]

hope it helps

[tex] \: \: \: [/tex]

Answer:

m = 2

Step-by-step explanation:

0 = 12 + 2 ( m - 8 )

→ Expand the brackets

0 = 12 + 2m - 16

→ Add 16 to both sides

16 = 12 + 2m

→ Minus 12 from both sides

4 = 2m

→ Divide both sides by 2

2 = m

maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?

Answers

Answer:

7 T-Shirts

Step-by-step explanation:

Given:

100 Dollar

30 = sweater

42 = Jeans

4 each = t-shirts

Solution:

30+42 = 72

100-72 = 28

28/4=7

Therefore she can buy 7 T-Shirts.

Answer:

7 shirts

Step-by-step explanation:

100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)

28 (money) / 4 (shirt cost) = 7 (shirts)

Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.

The graph of f(x) = 2x + 3 is shown above. Which graph represents f-'(x)?​

Answers

Answer:

May we assume "f-'(x)" means the fiurst derivative of f(x)?  I'm not sure what f-'(x) sign means, if not that.  The answer assume this is the first derivative.  No graphs are shown, so I'll add one.

Step-by-step explanation:

f(x) = 2x + 3

f'(x) = 2

The graph would be a staight vertical line through x=2.  The slope of the line f(x) = 2x + 3 is 2

negitive ten is no less than two times a number plus fourteen

Answers

Answer:

Negative 12

Step-by-step explanation:

-10 ≥ 2x + 14

-24 ≥ 2x [subtract 14 from both sides]

2x ≤ -24 [read right to left]

x ≤ -12  [divide both sides by 2]


Which equation could best be used to determine the value
of f(3) for the function f(x) = 2x + 4?
1) f(3) = 23+ 4
2) f(3) = 2(3)+4
3) f(3) = 3(2x) + 4
4) f(3) = 3(2x + 4)

Answers

Answer:

2) f(3) = 2(3)+4

Step-by-step explanation:

Which variable expression represents the following word phrase?
one-half the sum of a number and three

Answers

Answer:

The correct choice should be B.

Tell me if I'm wrong.

Find the value of x in the equation below. 2.7+x=11.7

Answers

X=9 because 11.7-2.7= 9.

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One​ day, the equipment elevator begins to descend. After ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that​ time, which elevator is​ deeper?

The position of the equipment elevator relative to the surface is (blank) feet

Answers

Answer:

272

Step-by-step explanation: I had i

Does 2/3 = 4/9? Explain

Answers

Answer:

No

Step-by-step explanation:

2/3 > 1/2

4/9 < 1/2

Answer:

The left side ( [tex]\frac{2}{3}[/tex] )

0.6 (bar notation)  

does not equal to the right side ( [tex]\frac{4}{9}[/tex] )

0.4 (bar notation)

, which means that the given statement is false.

False

−7a − 12q + 6a + 13q + 4a − 7a

Answers

Answer:

-4a + q

Step-by-step explanation:

Group the a-values together and the q-values together and simplify:

-7a + 6a + 4a - 7a - 12q + 13 q

= -4a + q

What Is the value of x?
A: x = 2.25
B: x = 11.25
C: x = 13
D: x = 22

Answers

Step-by-step explanation:

I have shown all the steps of obtaining the value of X in the picture above therefore the value of x is 22 which means the answer iisD

simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]

Answers

[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]

(5^3)^6 = 5^6x3 —> = 5^18

If Store A spend $10,000 more on advertising than store B, then what will be predicted in their sales according to the regression equation?

Answers

Answer:

more sales than b

Step-by-step explanation:

if they invert more in the thing of a company then they will have more ganancia.

Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -​

Answers

Given info:- X = √(4-√7) and Y = √(4+√7)

Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?

Explanation:-

Given that:

X = √(4-√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ X = √[2{(4-√7)}/2]

⇛ X =√[(8-2√7)/2]

⇛ X =√[{(7+1)-2√7{/2]

⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]

It is in the form of a²-2ab+b²

Where , a = √7 and b = √1

⇛X = √[{(√7-√1)}²/2] [(a-b)² = a²-2ab+b²]

⇛ X = (√7-√1)/√2

⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)

and

Y = √(4+√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ Y = √[{2(4+√7)}/2]

⇛ Y =√[(8+2√7)/2]

⇛ Y =√[{(7+1)+2√7}/2]

⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]

It is in the form of a²+2ab+b²

Where , a = √7 and b = √1

⇛Y = √[{(√7+√1)}²/2] [(a+b)² = a²+2ab+b²]

⇛ Y = (√7+√1)/√2

⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)

On adding Eqⁿ (1) & Eqⁿ(2)

→ X+Y = (√7-1)/√2+(√7+1)/√2

→ X+Y = (√7-1+√7+1)/√2

→ X+Y = (2√7 )/√2

→ X+Y = (√2×√2×√7)/√2

→ X+Y = √2×√7

→ X+Y = √14 — — — — Eqⁿ(3)

On Subtracting Eqⁿ(2) from Eqⁿ(1)

→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]

→ X-Y =[ (√7-1 )-(√7+1)]/√2

→ X-Y = (√7-1-√7-1)/√2

→ X-Y = (-1-1)/√2

→ X-Y = -2/√2

→ X-Y = -(√2×√2)/√2

→ X-Y = -√2 — — — — Eqⁿ(4)

On multiplying Eqⁿ(1)& Eqⁿ(2)

→ XY = [(√7-1)/√2][(√7+1)/√2]

→ XY = (√7-1)×(√7+1)/(√2×√2)

→ XY = [(√7)²-(1)²]/(2) [(a+b)(a-b) = a²-b²]

→ XY = (7-1)/2

→ XY = 6/2

→ XY = 3 — — — — — Eqⁿ(5)

Now,

The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²

It can be written as

⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²

From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)

⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²

⇛ (2/3) + (9×14)+(14)

⇛ (2/3)+(126)+(14)

⇛ (2/3)+140

⇛ [2+(3×140)]/3

⇛(2+420)/3

⇛ 422/3

Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.

If you have any doubt, then you can ask me in the comments.

Please help me. I'm struggling with my math

Answers

Answer:

a. (4, -3)

b. (-2.5, -4)

Step-by-step explanation:

a. 2x - 4y = 20

x = 4

step 1: plug in x value

2(4) - 4y = 20

8 - 4y = 20

Subtract 8 on both sides

-4y = 12

divide both sides by -4

y = -3

b. y = 6x + 11

2x - 3y = 7

step 1: plug in the y value

2x - 3(6x + 11) = 7

step 2: distribute

2x - 18x  - 33 = 7

add 33 from both sides and combine like terms

-16x = 40

divide both sides by -16

x = -2.5

Okay now you plug in the x value to solve for y

y = 6(-2.5) + 11

y =-4

an investor owns shares of stock a and stock b. the investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?

Answers

Answer:

a = 80 shares of stock A

b =120 shares of stock B

Step-by-step explanation:

Solved by creating a system of equations

Let a be number of shares of stock A

B number of shares of stock B

a + b = 200

9.5a + 27b = 4000

Solving the two equation

a = 80 shares of stock A

b =120 shares of stock B

divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining​

Answers

Answer:

72

Step-by-step explanation:

If it wrong i'm sorry

What is p squared in math?

Answers

it should be the variable to be solved, so I don’t understand the specific situation? maybe you can elaborate?

plz help??????????????????????

Answers

Answer:

Step-by-step explain

i did not do the 1 and 2 srry

5/9 rounded to the nearest thousand​

Answers

answer is .5 repeating, round at thousands place

0.556
The answer is: 0.556

Explanation:

When you divide 5 by 9, you get the answer 0.5555….

Simply count to the thousandth place after the decimal and round which gives the answer: 0.556

HI I REALLY NEED HEP PLEASEE

Answers

Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.

The answer is B

Hope this helps

What is the probability of selecting an 8 from a standard deck of 52 playing cards, not keeping it, then selecting the ace of clubs? Type your answer in simplified fraction form.​

Answers

Answer:4/13

Step-by-step explanation:

It is 4*(4/52)

plzz helpp what's (12+9⁷)+1284​

Answers

Answer:

4784265

Step-by-step explanation:

(12+9⁷)+1284​

12 + 4782969 + 1284

4784265

Solving:

To resolve this issue first we have to remember the rules to resolve a numeric expression, see:

Power and RadiciationMultiplication and DivisionAddition Sum and Subtraction.

[tex]\sf \left(12+9^7\right)+1284\\\\\\\sf =12+4782969\\\\\\\sf =4782981+1284\\\\\\\to \boxed{\sf 4784265}[/tex]

Okay?!

Convert .45 to a fraction help for brainlist! with explaintion

Answers

Answer: 9/20

Step-by-step explanation:

Answer:

9/20

Explanation:

0.45

Since there are two numbers after the decimal point, the denominator will be 100 (two zeroes). So, 45/100.

Simplify the fraction. Divide both the numerator and the denominator by 5.

9/20

Hope this helps! :)

Write the line (-5,-6) with slope 2/5 in point-slope form

Answers

Answer:

[tex]y+6=\frac{2}{5} (x+5).[/tex]

Step-by-step explanation:

1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;

2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:

y+6=2/5(x+5).


(b)
Write down the integer value of x that satisfies 16 < 3x < 20

Answers

Answer:

x must be 6 because 6 * 3 is 18 which is greater than 16 but less than 20. x can't be 6.1 or include decimals or fractions because integers are whole numbers just adding negative numbers so therefore 6 is the only answer for this question.

Step-by-step explanation:

Hope this is the answer you were looking for. If I am wrong I will try correcting my mistake. :)

Mrs. Kelly got a box of 16 colored pencils. She opened it, and 8 fell on the floor. How many colored pencils stayed in the box?
Write a subtraction sentence that fits the story (for example, 3 - 2 = 1).

Answers

16-8=8

Step-by-step explanation:

16 - 8 = x
That what be the suitable answer, x standing for the pencils that stayed in the box
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