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3 years ago

Which point is the incenter of △DEF ?

Mathematics

2 answers:

stellarik [79]3 years ago

7 0

It is point G, because that is where the 3 angle bisectors meet.

charle [14.2K]3 years ago

4 0

Answer:- G is the point which is the incenter of Δ DEF.

Explanation:-

Incenter of a triangle is defined as a point occurred by the intersection of the internal angle bisectors of the three vertices of the triangle.

In the given picture ΔDEF has three angle bisectors ,bisecting vertices of triangle D,E and F and intersect at point G.

Thus point G is the incenter of Δ DEF.

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Sara drove 96 miles on 3.2 gallons of gas. How many miles can Sara drive on 12.5 gallons of gas

Blababa [14]

Answer:

375 miles

Step-by-step explanation:

Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:

$\frac{96}{3.2}$ = $\frac{x}{12.5}$

Cross multiply and solve for x:

3.2x = 1200

x = 375

So, with 12.5 gallons of gas, Sara can drive 375 miles

4 0

3 years ago

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I don’t understand any of the below. Can you please help?

ehidna [41]

-25+(-12)=-37
14-(-20)=34
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2 years ago

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Given radical a and radical b are in simplest radical form and radical a timed radical b equals c radical d and c radical d is i

lawyer [7]

Answer:

See below.

Step-by-step explanation:

Since sqrt(a) and sqrt(b) are in simplest radical form, that means a and b have no perfect square factors. When sqrt(a) and sqrt(b) are multiplied giving c * sqrt(d), the fact that c came out of the root means that there was c^2 inside the product sqrt(ab). This means that a and b have at least one common factor.

ab = c^2d

Example:

Let a = 6 and let b = 10.

sqrt(6) and sqrt(10) are in simplest radical form.

Now we multiply the radicals.

sqrt(a) * sqrt(b) = sqrt(6) * sqrt(10) = sqrt(60) = sqrt(4 * 15) = 2sqrt(15)

We have c = 2 and d = 15.

ab = c^2d

6 * 10 = 2^2 * 15

60 = 60

Our relationship between a, b and c, d works.

6 0

3 years ago

Which points of the following points are solutions to the equation 3x-4y-8=12

Natali [406]

Answer:

(0, -5), (4, -2), (-16, -17)

Step-by-step explanation:

I attach your full question in the image below

The equation is

3x-4y-8=12

Which can be rewritten as

3x-4y =12 +8

3x-20 = 4y

y = (3/4)*x - 5

We need to check each individual case

(0,-5)

y = (3/4)*(0) - 5

y = -5

True

(4,-2)

y = (3/4)*(4) - 5

y = -2

True

(8,2)

y = (3/4)*(8) - 5

y = 1

False

(-16,-17)

y = (3/4)*(-16) - 5

y = -17

True

(-1,-8)

y = (3/4)*(-1) - 5

y = -23/4

False

(-40,-34)

y = (3/4)*(-40) - 5

y = -35

False

(0,-5) (4,-2) and (-16,-17) are the solutions

8 0

3 years ago

30 points Someone help im very confused.

Alchen [17]

Answer:

y=cotx

Step-by-step explanation:

5 0

3 years ago

Which point is the incenter of ​ △DEF ​ ?

Which point is the incenter of △DEF ?