HIJK is definitely a parallelogram? True or False.

Answers

Answer 1

Answer:

HIJK has parallel sides and also congruent opposite angles, therefore, it is TRUE that it is a parallelogram.

What are Some Properties of a Parallelogram?

In a parallelogram, the opposite angles are always congruent.

Opposite sides are equal in length and are also parallel to each other.

Quadrilateral HIJK has opposite angles that are congruent and also has sides that are parallel. Therefore, it is true that it is a parallelogram.

Learn more about parallelogram on:

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A savings account with compounded interest can be modeled by which type of graph
What is the value of x in the equation x-2/3 + 1/6 =5/6 ?

Payton leaves to go on an 858585 minute bike ride at 3{:}27\text{ p.M.}3:27 p.M.3, colon, 27, start text, space, p, point, m, point, end text Payton's family eats dinner at 5{:}45\text{ p.M.}5:45 p.M.5, colon, 45, start text, space, p, point, m, point, end text How much time will Payton have between finishing her bike ride and eating dinner?

Answers

There are no 858585 minutes between 3:27 PM and 5:45 PM when Payton's family eats dinner, as this would mean that Payton goes on over 596 day bike ride, which is unrealistic.

The question would be realistic, if it was:

Payton leaves to go on an 85 minute bike ride at 3:27 PM.

Payton's family eats dinner at 5:45 PM. How much time will Payton have between finishing her bike ride and eating dinner?

Answer:

Payton has 53 minutes between finishing her bike ride and eating dinner

Step-by-step explanation:

- Payton rides for 85 minutes.

If she starts by 3:27 PM, she would finish by 4:52 PM.

- Dinner is by 5:45 PM.

We are required to find how much time is between 4:52 PM and 5:45 PM.

Subtract:

.........H...............M

.........05............45

.........04............52

.................................

.........00............53

Payton has 53 minutes

Answer:

Step-by-step explanation:

Guven:

Time of bike ride = 3:27 PM

Time of dinner = 5:45 PM

Bike ride = 85 minutes

Time that bike ride ended = 3:27 + 85

= 3:27 + 1:25

= 4:52 PM

duration left between after the ride and dinner time = 5:45 - 4:52

= 45 + 8 minutes

= 53 minutes

What is the solution to the following equation?

5(2x –6) + 20 = 10 (4 points)

Answers

5(2x-6)+20=10

Distribute

(5)(2x)+(5)(-6)+20=10

10x-30+20=10

Combine like terms (10x)+(-30+20)=10

10x-10=10

Add 10 to both sides

10x-10+10=10+10

10x=20

x = 20/10

x= 2

I hope that's help !

you deposit 1000 in savings account that earns .5% each month assuming you do not deposit or withdraw any money from the account, how much will you have in the account after 3 years

Answers

Answer:

$1015.11

Step-by-step explanation:

Compounded interest rate formula: A = P(1 + r/n)^t

Step 1: Plug in known variables

A = 1000(1 + 0.005/12)^36

Step 2: Multiply it all together

1000(1.00042)^36

1000(1.01511)

1015.11

This is a pretty bad bank considering only giving you .5% interest per month.

You have a 10 gallon jug and a 3 gallon jug. Both jugs are unmarked. You need exactly 5 gallons of water. How can you get it if a water faucet is available?

Answers

Answer:

Step-by-step explanation:

You have a 10 gallon jug and a 3 gallon jug and need exactly 5 gallons of water.

This what you do:

- Fill the 3 gallons jug full and pour into the 10 gallons keg

- Repeat the above a second time making a total of 6 gallons of water in the 10 gallons jug.

- Fill the 3 gallons jug a third time and pour into the 10 gallons jug making 9 gallons

- Fill the 3 gallons jug the fourth time and pour into the 10 gallons jug till full leaving 2 gallons of water remaining in the 3 gallons jug.

- Then empty out the 10 gallons jug and pour the 2 gallons of water in the 3 gallons jug into the 10 gallons jug.

- Then, fill the 3 gallons jug again and pour into the 10 gallons jug holding the 2 gallons of water making a total of 5 gallons of water in the 10 gallons jug.

Hope, that helps!!!

Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours are 15, 23, 12, 28, 20, 18, and 23. How many customers visited the store during the eighth hour if the median number of customers per hour did not change?16
19
20
23

Answers

The number of Customers that visited the store during the eight hour if the median number of customers didn't change is; C: 20

What is the Median?

We are given the data representing the first seven hours as; 12, 15, 18, 20, 23, 23, 28. Here; n=7

Thus;

Median = (n + 1)/2 = (7 + 1)/2

Median = 4th term

Thus, the median is 20.

When one data is added, n = 8. Thus;

Median will be the average of the 4th and 5th term. Since the median does not change, it means that the median number of customers per hour is still 20.

Read more baout Median at; brainly.com/question/1552529

Answer:

Step-by-step explanation:

Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?

Answers

8, 16, 32, 64,…
×2 ×2 ×2

$a_(n) = a_(1) * r^(n - 1)$
$a_(n) = 8 * 2^(13 - 1)$
$a_(n) = 8 * 2^(12)$
$a_(n) = 8 * 4096$
$a_(n) = 32768$

   First Term: 8
      Second Term: 16
      Third Term: 32
      Fourth Term: 64
       Fifth Term: 128
      Sixth Term: 256
   Seventh Term: 512
   Eighth Term: 1024
   Ninth Term: 2048
      Tenth Term: 4096
   Eleventh Term: 8192
   Twelfth Term: 16384
Thirteenth Term: 32768

$The\ expression\ that\ would\ give\ the\ thirteenth\ term\ of\ the\ problem\ would\ be\ the\ equation\ of\ the\ geometric\ sequence,\ which\ is\ equal\ to\ a_(n) = a_(1) * r^(n - 1).$

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