Point d is the centroid of triangle abc use the given information to find x.GD=2x-8 and GC=3x+3

Answers

Answer 1

Answer: Answer and workings in the attachments below.

x=9.

Answer 2

Answer: The centroid D cuts every median in the ratio 2:1. The distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.

Therefore: |DC| = 2|GD|
|GC| = |GD| + |DC| = |GD| + 2|GD| = 3|GD|

so... we have:

3x + 3 = 3(2x-8)
3x + 3 = 3 × 2x - 3 × 8
3x + 3 = 6x - 24 |subtract 3 from both sides
3x = 6x -27 |subtract 6x from both sides
-3x = -27 |divide both sides by (-3)

x = 9

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the highest point in the state of Louisiana is Driskill Mountain. It rises 535 feet above sea level. Write the elevation of Driskill Mountain as an integer.

Estimate, then find the difference and write in simplest form 4 1/2-3 4/5

Answers

Answer:

7/10

Step-by-step explanation:

4 1/2=9/2

3 4/5=19/5

9/2-19/5=45/10-38/10=7/10

How is using mental math to add with decimals like using mental math to add whole numbers

Answers

The use of mental method to add with decimals is similar to the mental method we used to add whole numbers because the decimals number can also change to whole numbers.
This is the reason the mental method for both are similar. we can also use the same process for decimal numbers and whole numbers.

Answer: Using mental math to add with decimals is like using mental math to add whole numbers because the actual thing is we are adding the place values in both the cases and they different as in case of whole numbers we start from the ones place but in case of decimal numbers we first separate it into whole numbers and decimals to add by using mental math separately, after solving the sum we write both parts together and that is the answer.

For example to add 4.50+9.20

Take after decimal portion separately 0.50+0.20=0.70

and 4+9=13

write together it becomes 13.70.

so 4.50+9.20=13.70.

Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles per hour faster than the first rate. How many miles did Mr. Anderson drive during the 5 3/4 hour road trip? Answer in improper fraction.

Answers

First we need to know how many miles per hour they drove the first time. This would be found by division. 168/3.5=48
Then we need to add 5 miles per hour for the average.48+5= 53
Next we need to multiply 2 1/4 by the new miles per hour 53*2.25=119.25
After that we need to know how many miles they drove 119.25+168=287.25 miles.
Finally to get an improper fraction we need to change 287.25 miles to it.
We already have 1/4 for .25 so we multiply 287 by 4 and add it to the 1/4 we already have and it makes it out to be 1149/4

Hope this helps!

3. An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed?

Answers

262.5 miles
explanation 1/4 is half of 1/2 so 52.5 is half of 105 and then 210 for an hour of travel

Answer:

105 at 30 min.

x at 75 min.

105 mph x 2 = 210 mph at one hour

There is still 15 min to go soooo...

210/4 = 52.5

210 + 52.5 = 262.5 mph for 75 min

Check by dividing

262.5/75=3.5

The diameter of a circle is 6 meters what’s is the circles area

Answers

Answer:

A≈28.27m²

d Diameter

Answer:

A≈28.27m²

d Diameter

Step-by-step explanation:

Here is a list of numbers. 17 21 14 17 12 15 what is the mean

Answers

Answer:

Step-by-step explanation:

you add all of them up and then divide by how many numbers you have total.

17+21+14+17+12+15=96

96/6

=16

Answer:

Step-by-step explanation:

17+21+14+17+12+15=96

96/6= 16

6 is the number of numbers in that list of numbers

add them together and divide it by how many numbers are there.

in this case it is 6 . therefore the answer is 16

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