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Vilka [71]
3 years ago
14

In △BCD, BP=15 cm.

Mathematics
2 answers:
Phantasy [73]3 years ago
6 0

we know that

The centroid is the point where all three medians intersect and divides each median in a ratio of 2:1.  Is described as the triangle's center of gravity.

In this problem

C-Q, B-P and D-R ------> are medians

The point X is the centroid of the triangle BCD

so

BX=\frac{2}{3}BP

we have


BP=15\ cm


substitute

BX=\frac{2}{3}(15)=10\ cm

therefore

<u>the answer is</u>

BX=10\ cm

MAXImum [283]3 years ago
5 0
The answer is 10.

I PERSONALLY guessed it because it looks like BX is 10 and XP is 5 which is 15. (But I don't recommend always doing this because you might make a mistake when it comes to testing.)

HOWEVER: I confirmed it afterwards. The answer is still 10.
You might be interested in
What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i
Sunny_sXe [5.5K]

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

X(t) = Pe^{rt}

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

5 0
3 years ago
Omg please help if you can giving extra points
solniwko [45]
<h3>Answer: 285, choice A</h3>

=================================================

Explanation:

x = number of attendees

y = cost

If you increase the number of attendees (x) by 15, then the cost (y) goes up by 105. We see this by subtracting the values

30 - 15 = 15

495 - 390 = 105

Divide the change in cost over the change in people. So we have 105/15 = 7

The 7 represents the unit rate, which is the amount of money it costs for one person. Each time we add a person, it costs $7. So we can say "it costs 7 dollars per person"

At 7 dollars per person, 15 people will be charged 15*7 = 105. However, the table shows $390 is the actual cost. So 390 - 105 = 285 is the base cost

Or you can use the second column. If we had 30 people, then 7*30 = 210 is the cost without the base cost added on. The table shows 495, so 495-210 = 285 which is the same answer as before.

-------------------------------------

Alternative method

This method involves more equations and algebra

First use the slope formula. You can use any two points from the table. I'm going to use (15, 390) and (30, 495)

m = slope

m = (y2-y1)/(x2-x1)

m = (495-390)/(30-15)

m = (105)/(15)

m = 7 <<--- this is the unit rate, aka cost per person

Use the slope and one of the points to find the y intercept

y = mx+b

y = 7x+b

390 = 7(15)+b

390 = 105+b

105+b = 390

b = 390-105

b = 285 <<-- this is the y intercept, aka base cost

The base cost is the price you pay to get in the door. This cost stays the same no matter how many people are in your party. The equation would be y = 7x+285. Note how plugging in x = 15 leads to y = 390. At the same time, plugging in x = 30 leads to y = 495.



6 0
3 years ago
Help fast pls i dont have much time​
Ugo [173]

Answer:

5 yards

Step-by-step explanation:

7 0
3 years ago
Can you help me please
xenn [34]
(2, -3)

The Answer is A
3 0
3 years ago
The measure of a square wall is 9 feet 7 inches on each side. Estimate the square feet a painter would have to cover to the near
Nookie1986 [14]
First, convert those inches to feet. 
7in =ish 0.5833333
(you find this by dividing 7/12 on a calculator)
Now you just square 9.583333333
9.583333333^2
9.583333333 * 9.583333333
91.84027777ish
Rounded to the nearest foot, means the answer is 92ft.
5 0
3 years ago
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