In parallelogram ABCD, if ED = 7x - 13 and BD = 16x - 38, find BD.

In Parallelogram ABCD, If ED = 7x - 13 And BD = 16x - 38, Find BD.

Answers

Answer 1

Answer:

58

Step-by-step explanation:

Answer 2

The length of BD is 58  units.

What are properties of parallelogram?

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.

Given:

ED = 7x - 13 and BD = 16x - 38

So, the Diagonals of parallelogram bisect each other

BD = ED+ EB

16x - 38 = 2 ED   { ED= EB}

16x - 38 = 2 (7x- 13)

16x - 38 = 14x - 26

2x = 12

x= 6

So, length of BD = 16(6) - 38 = 96- 38 = 58 units

Learn more about properties of parallelogram here:

https://brainly.com/question/26651476

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Related Questions

Emma's Pizza can make 12 pizzas in 40 minutes. How many pizzas can they make in 5 hours?

Answers

Answer:

90

Step-by-step explanation:

Change 5 hours to minutes. (5x60, and 300 minutes)

Divide 300 by 40. (7.5)

Then, multiply 7.5 by 12 (90)

Answer:

90 pizzas

Step-by-step explanation:

We know 5 hours = [tex]5\times60 = 300[/tex] minutes

If you consider 20 minutes as a period, 5 hours .as well as 300 minutes. contains [tex]\frac{300}{20} = 15[/tex] periods.

Emma can make 12 pizzas in 40 minutes.

So she can make 6 pizzas in 20 minutes (in half time)

In 1 period she makes 6 pizzas.

In 15 periods she makes [tex]15\times6 = 90[/tex] pizzas (Answer.)

Pls help I don’t understand

Answers

Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.

Need help with the correct answer please! Thank you. Which two triangles are congruent by the SSS Theorem? I picked D but that is the wrong answer.

Answers

Answer:

B

Step-by-step explanation:

RQ=TV

QS=VU

RS=TU

While proving that 2 triangles are congruent you have to consider the same side for both triangles.

The mistake you made was that you presumed that since both have equal sides they are equal,

In a sense that is true but you have align it in the correct way, in option D) it shows RQ is equal to TU which is wrong, RQ is equal to VT, you have align it in a proper way.

B) ΔRQS ≅ ΔTVU here it is align perfectly to be matched

Happy to help :)

If you need any more help, you can ask me

Solve for x and y simultaneously

Pls help me​

Answers

Step-by-step explanation:

Are the roots equal or unequal

Perfect Parties, a party supplies store, always gets busy around graduation.
Currently, they have 3 orders: one for 500 balloons, one for 275 balloons,
and one for 125 balloons. Each balloon must be tied with a 5-foot-long
ribbon. How many yards of ribbon do they need for their current orders?
yards

Answers

Answer:

They will need 1500 yards of ribbon

Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3​

Answers

I have to atletas write 20 words by i know for a fact it’s b

Answer:

8

-4x+6(6-2x) = -7x - 36

-4x+36-12x = -7x-36

-16x+36 = -7x-36

-16x +7x = -36-36

-9x = -72

x = 72/9

x = 8

Maths homework volumes anyone can help?

Answers

Answer:

1) Volume of cuboid =l * b*h9.7*1.8*2.5=43.65 2a =......

Step-by-step explanation:

look at the diagram .the third is complete and the Instruction says they all have same volume so :2.5 *8*9 = 180.definitely the volume for each of the cuboid is 180. Volume of cubiod = l*b*ha)180 = 4*5*a 180 = 20a180/20 = 20a/20a= 9

b) 180 = 6*6 *b 180 = 36b b= 180/36 b= 5

c) 180= 2.5 *9*c 180 = 22.5 *cc=180/22.5c=8 I don't know 3and 4pls mark me brainlest I need it dearly

find the length of x
urgent pls help.

Answers

4. The two triangle are congruent.

Answer:

Step-by-step explanation:

the triangles are congruent and the factor is 1/2

x=8/2=4

What is AC?
А
А
D
5
B

Answers

Alternating current (AC) is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current (DC) which flows only in one direction. ... A common source of DC power is a battery cell in a flashlight.

Please answer quickly

Answers

Answer:

1 1/2

Step-by-step explanation:

Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?

Answers

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m

Answers

Answer:

m = 60/6

60 = 6 x m

Step-by-step explanation:

I need help I'm confused

Answers

(4x+27) = (16x-21)
12x = 6
so x = 2
then you just add the 2 into where the x is placed

The area of a trapezoid is 60 square feet the bases of the trapezoid are 8 feet and 12 feet, what is the height?
6ft
4ft
3ft
15ft​

Answers

It is 6 feet. I hope this helps a little.

A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?

Answers

Answer:

23

Step-by-step explanation:

The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23

What is the Interquartile range?

An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.

The formula to calculate interquartile range is:

IQR = Q₃ - Q₁

where;

Q₃ is third quartile

Q₁ is first quartile

The given points when arranged in increasing order gives us:

13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27

Q₁ is the (n + 1)/4 terms = 3rd term.

Thus; Q₁ = 17

Q₃ is 3(n + 1)/4 term = 9th term.

Thus; Q₃ = 24

Then; IQR = 24 - 17

IQR = 7

The desired interquartile range should decrease by 1 point. Thus;

Desired IQR = 7 - 1 = 6.

To find the score of the 12th game, let us try  23 points as the score of the 12th game:

Thus;

Q₁ = 17.5

Q₃ = 23.5

IQR = 23.5 - 17.5

IQR = 6

Thus, required number of points is 23.

Read more about Interquartile Range at; https://brainly.com/question/3859769

Find the 7th term of the geometric progression which begins -6250, 1250, -250....

Answers

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]

Can some one plz help me

Answers

Answer:

Step-by-step explanation:

A is midpoint of DB

DA ≅ AB  ------------------(I)

B is midpoint of AE

BE≅ AB ---------------(II)

From (I) & (II)

DA ≅ AB    

∠D ≅ ∠E                Given

CD ≅  CE               {Sides opposite to equal angles are equal}

ΔCDA ≅ ΔCEB     { S A S congruent}

Answer:

AB = BA                            reflexive property

AB = BE and DA = AB     definition of midpoint

then DA = EB                            

CD = CE                           ΔCDE is isosceles

ΔCDA ≅ ΔCEB                SAS

Step-by-step explanation:

I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.

Answers

Answer:

A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.

Step-by-step explanation:

find the length of missing side x

Answers

B should be the answer for the triangle

Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24

Step-by-step explanation:

If anyone can help I would really appreciate it!

Answers

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven

Answers

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Write 3-5 sentences about the process of the Difference of squares Factoring Method

Answers

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.




Which statement is true regarding these data sets?




The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.


The number of members in the Chess Club and the number of members in the Debate Team is the same.


The majority of the members in each club are between 15 and 17 years old.


About 50% of the members of each club are 16 or older.

Answers

Answer:

C

Step-by-step explanation:

Answer:it’s c

Step-by-step explanation:

Select all equations that match the solution for this equation: 5(x - 12) = 20

60 + 20 ÷ 5
1/5(60 + 20)
(16 + 20) • 5
(16 - 12) • 5
1/5(75 - 63

Answers

Answer:

The answer is x=16 so whatever the equations should look like it should be this:

Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16

Solve the system of equations by substitution.
y=3x-10, 2x+3y=14

Its 5-3 MathXL btw​

Answers

2x+3(3x-10)=14

2x+9x-30=14

11x=44

x=4


y=3(4)-10

y=2

how do i put that on a line?please help me.

Answers

Plot the dot on the -12 but when u plot the dot its not gonna be the dark dot so click it twice and the line is going to the right

1. TEMPERATURE Suppose the temperature
outside is dropping 3 degrees each
hour. How much will the temperature
drop in 8 hour?

Answers

it’ll drop by 24 degrees in 8 hours
3x8=24

A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300
mph. Given that the first trip took two hours longer, how long was the return trip?

Answers

Answer:

Step-by-step explanation:

300t=280(t+2)

300t=280t+560

20t=560

t=28

Three prime numbers that can be multiplied to get 825

Answers

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

If the surface area of a cube is 384 square inches, what is the length of each side

Answers

Answer:

There are six equal surfaces of a cube. Then,

384 / 6 = 64 sq in (the area of one surface)

The area of one surface of a cube will be equal to x*x (if we let the edge length be x)

x^2 = 64

x = 8 inch

Step-by-step explanation:

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