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leva [86]
2 years ago
5

Explain the steps used to find the solution.

Mathematics
1 answer:
trapecia [35]2 years ago
3 0

Answer:

Dont Know

Step-by-step explanation:

Sorry

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Triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?
Drupady [299]

Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are (\frac{x1+x2+x3}{3} , \frac{y1+y2+y3}{3})

In Δ ABC

∵ A = (-20, 0), B = (0, 15), C = (20, 0)

∴ x1 = -20, x2 = 0, x3 = 20

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-20+0+20}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ ABC are (0, 5)

In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-15+0+15}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ DBE are (0, 5)

In Δ FBG

∵ F = (-5, 0), B = (0, 15), G = (5, 0)

∴ x1 = -5, x2 = 0, x3 = 5

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-5+0+5}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ FBG are (0, 5)

∵ The three triangles are symmetric about the y-axis

→ That means they have the same centroid and it lies on the y-axis

∴ The coordinates of the centroid are (0, 5)

8 0
2 years ago
I NEED HELP ASAP about this question it’s for a test !
Lilit [14]

Answer:

0.25

Step-by-step explanation:

6 0
2 years ago
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Twelve Divided by the sum of a number and five
fredd [130]
12/x+5
x represents “a number” because it’s unknown and the + sign is because the words sum
6 0
3 years ago
Given AB = 18, DE = 6, and AD = 5, find<br> the perimeter of ADEF<br> Perimeter =?
anygoal [31]

Answer:

this is my other accont

Step-by-step explanation:

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3 years ago
What value should be added to the expression to create a perfect square?
Shalnov [3]
Let's take a look at a perfect square trinomial.

(x+7)^2

We can distribute this expression to get x^2+14x+49.

An important relation to recognize here is that the constant is the square of half of the x value.

Now, if we wanted to add a number to x^2+16x to make a perfect square trinomial, we could have the value of x and then square it.

Half of 16 is 8, and 8 squared is \boxed{64}

8 0
3 years ago
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