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

what do you call two guys that like math B)

Answers

Answer:

Step-by-step explanation:

Math nerds, algebros?

Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5 per gigabyte. She wants to keep her bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Rajani can use while staying within her budget. need help with this

Answers

Answer: $85 [tex]\leq[/tex] $65 + ($5)*gg

Step-by-step explanation:

$85 [tex]\leq[/tex] $65 + ($5)*gg

The values are in $/month, but we'll assume 1 month is all we need to answer the question of what it would take to remain below $85/month.  The fixed ciost, $65/month, is added to the gigabyte (gg) usage of $5/gg.  (I'd prefer gb for gigabyte, but I'll stick with gg).

Together, they should be [tex]\leq[/tex] $85/month, thus we get:

$85 [tex]\leq[/tex] $65 + ($5)*gg

4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.​

Answers

Answer:get scammed 4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.

The ratio of the number of T-shirts in size M to the number of T-shirts in

size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.​

Step-by-step explanation:

This table shows the input and output values for a linear function f(x).

What is the difference of outputs for any two inputs that are one value apart?

A. -5
B. 1
C. 21.2
D. 27.2

Answers

Answer:

C

Step-by-step explanation:

The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.

The local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month. Last year, Paxton paid $105.75. How many months was Paxton a member of the pool?​

Answers

Solving a linear equation we can see that Paxton was a member for 5 months.

How many months was Paxton a member of the pool?​

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

Learn more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

Write an explicit formula for the recursive formula

A(n) = A(n - 1) + 3; A(1) = 6

Answers

Answer:

[tex]a_{n}[/tex] = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

f(x) = 6x – 1
f(x) = 8x – 6
f(x) = 4x – 14
f(x) = 4x – 10

Answers

Answer:

483/798-5458+7429=19035674846 :))

Step-by-step explanation:

SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT IM SO CONFUSED!!!! ):

Answers

Answer:

you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:

I need to know which matches which thank you

Answers

Answer:

number 1 matches 8/12, number 2 matches 11/12, number 3 matches 12/24, number 4 matches 11/24, number 5 matches 10/12

Step-by-step explanation:

find the minimum common multiple and then add the top numbers and keep the denominator (bottom number) the same.

Teresa received a $90 gift card for a coffee store. She used it buying some coffee that cost $8.59 per pound. After buying the coffee, she had $38.46 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

6 pounds of coffee

Step-by-step explanation:

Given Teresa's $90 gift card for a coffee store, and a balance of $38.46 on her card:

Subtract the remaining balance of $38.46 from the $90 original balance on Teresa's card, to determine how much she spent on coffee.

$90.00 - $38.46 = $51.54

Next, divide the amount that she spent at the coffee store by the $8.59 cost per pound to find out how many pounds of coffee she purchased from the store:

$51.54 ÷  $8.59 per pound = 6 pounds

Therefore, she bought 6 pounds of coffee worth $51.54 from the store.

The ratio of the number of baskets made by Salem to the number of baskets made by Khaled is 3 to 4. Salem made 12 baskets. How many baskets did Khaled make?

Answers

Answer:

Khaled made 16 baskets.

Step-by-step explanation:

3 12

-- = ---

4 x

12 / 3 = 4

4 x 4 = 16

x = 16

Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.

3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.

Answers

Answer:

The answer is 2, 6, 5, 1 for the Grams of Fiber.

Step-by-step explanation:

4. Algebra If in one year a city
recorded a total of 97 rainy days,
how many of the days did it NOT
rain? Write and solve an equation.

Answers

Answer:

268.25

Step-by-step explanation:

by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25

*edit, messed up how long a year was, corrected my issue, answer & equation.

Answer:

Step-by-step explanation:

How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome

is the negative square root 400 rational or irrational

Answers

Answer:

Step-by-step explanation:

Rational

Answer:

Rational

Step-by-step explanation:

20 x 20 is 400 so 20 is a rational number

Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license plates, and $40 for a state safety and emissions inspection. How much does she need to pay for these extra charges, not including the price of the car?

Answers

Answer:

999

Step-by-step explanation:

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

What is 7536 to 1 significant figure

Answers

Answer:

8000

Step-by-step explanation:

ples help meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

po 989r9  vcmc cohol,j

Step-by-step explanation:

Sprinters who run 100 yards now often run 100 meters.


How many meters longer to the nearest tenth is 100 meters than 100 yards?


Enter the correct answer in the box.

Answers

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

Help!!! I will give brainliest if correct!!!
Ken Has k video games, and Jeff has j video games. If Ken gives 6 video games to Jeff, Ken will have twice as many video games as Jeff. Which equation shows the relationship between k and j?
A: k-6 = 2(j + 6)
B: k - 6 = 2j + 6
C: 2(k - 6) = J
D:2(K - 6) = J + 6

Answers

Answer:

D

Step-by-step explanation:

2(k-6)=J+6

help me pleaseeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

a) 6305/65= 97

b) 94+94= 188

   306-188= 118

Answer:

a. 87 b. 59

Step-by-step explanation:

typing bc I need to have 20 letters

help Which relation is a function?

Answers

Answer:

The answer is B

Step-by-step explanation:

an input value must only paired to one output value

Need help on this! Plz help

Answers

Answer:

54 degrees

Step-by-step explanation:

First, I need to find the value of t.

So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.

(8t + 6) + (3t + 18) = 90

Now, just solve for t.

11t + 24 = 90

11t = 66

t = 6

Finally, substitute 6 in for t.

8(6) + 6

48 + 6

54

Evaluate the question
Pls help:)

Answers

Answer:

18

Step-by-step exp18lanation:

1) Simplify 2 - 4 to -2.

3 - 5 × -2 ÷ 2 × 3

2) Simplify 5 × -2 to -10.

3 - (-10 ÷ 2 × 3)

3) Simplify -10 ÷ 2 to -5.

3 - (-5 × 3)

4) Simplify -5 × 3 to -15.

3 - (-15)

5) Remove parentheses.

3 =+15

6) Simplify.

18

Answer:

24

simple explanation:

{3+[-5(2-4)÷2}×3

{3+[-5(-2)÷2}×3

{3+[-10]÷2)×3

3+5×3

8×3

=24

A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans

Answers

Answer:

the answer is 100.

Step-by-step explanation:

divide 1000 by 10

The number of boxes required to hold 1000 cans is 100 bags.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, every Monday each student brings in a bag with 10 cans.

They put 10 bags into a box.

So, number of boxes required to hold 1000 cans

= 1000/10

= 100 bags

Therefore, the number of boxes required to hold 1000 cans is 100 bags.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Line A has a slope of -
and passes through the point
Line B has a slope of 3 and passes through the point (-32, -2)
Find the point where line A intersects line B.

Answers

Answer:

Graphing

Step-by-step explanation:

Refer to the image below!

Evaluate (x + 3)? – 6 when x = 4.​

Answers

Answer:

D. 43

Step-by-step explanation:

1. To evaluate the expression, we plug in the value of 4 into x and simplify.

[tex](4+3)^2-6[/tex] [tex](7)^2-6[/tex] [tex]49-6[/tex] [tex]43[/tex]

Therefore, the answer is D. 43.

Answer:

43

Step-by-step explanation:

(4 + 3)^2 - 6

7^2 - 6

49 - 6

43

PLEASE HELP!

Your class hopes to collect at least 325 of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.
Part 1: Write an equation that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.
Part 2: How many cans are needed to meet or surpass the goal?

Answers

Answer:

Part 1. 325 - (135 + 89) = c

Part 2. ≤ 101

Step-by-step explanation:

Brainliest Please!

can anyone tell me if this is right

Answers

Answer:

yes it is correct

Step-by-step explanation:

that is correct indeed

If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step

Answers

if 1 yard = 3ft
2.5 yards = 7.5ft
12inch x 7.5 = 90
ANSWER: 90 inches

Is 10x-4 proportional

Answers

Answer:

No

Step-by-step explanation:

10x - 4

x = 2/5

Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.

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