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White raven [17]
3 years ago
13

Point Lis a centroid of the triangle FWD, If RL = 54 cm, what is RD?

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

RD = 162 cm

Step-by-step explanation:

LD = 2 RL = 2* 54 = 108

RD = RL + LD

RD = 54 + 108

RD = 162 cm

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Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).
Nastasia [14]

The solution of the given equation is (3,6). The correct option is B.(3,6)

<h3>Given equations,</h3>

y=x+3.......(1)\\4x+y=18.....(2)

<h3>How to solve the equations?</h3>

putting the value of y from equation (1) in equation (2) , we get

4x+x+3=18\\5x=18-3\\5x=15\\x=3

substitute the value of x=3 in equation (1) we get,

y=3+3\\y=6

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

brainly.com/question/12895249

4 0
2 years ago
56 with 75% increase
valina [46]

Answer:133

Step-by-step explanation:

7 0
3 years ago
A mathematics book has 360 pages, of which 50% are on algebra, 20% on geometry and the remainder on arithmetic how many pages ar
Arte-miy333 [17]

Answer:

30% of the pages are arithmetic, or 108 pages

Step-by-step explanation:

50% are on algebra = 180 pages

360 x .5 = 180

20% are on geometry = 72 pages

360 x .2 = 72

30% are on arithmetic = 108

180 + 72 + 108 = 360 pages

50% + 20% + 30% = 100%

6 0
2 years ago
Trig help please!!! This is due tomorrow. If you don’t mind could you please explain how you do it
vivado [14]

Answer:

The larger acute angle is equal to 50.8 degrees.

Step-by-step explanation:

Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.

A = cos^-1 (2√6/2√15)

However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,

A = cos^-1 (2√90/30) = 50.768 degrees.

B = sin^-1 (2√90/30) = 39.231 degrees.

Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.

cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.

If you have any questions on where I got a formula or any step, feel free to ask in the comments!

8 0
3 years ago
If a number added to five is divided by the difference of the number and two, the result is three-fourths. Find the number.
alexandr1967 [171]

Answer:

x = - 26

Step-by-step explanation:

Let the number be x.

According to the question,

\frac{x+5}{x-2} = \frac{3}{4}\\

Cross multiplying 4 & 3 gives :-

4(x+5)=3(x-2)

And solving this eqn. gives :-

4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26

Verification :-

(putting the value of x = -26 )

\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}

Reducing  \frac{21}{28}  by 7 gives  \frac{3}{4} .

5 0
3 years ago
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