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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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4. Find the distance between the two points. Round to the nearest tenth if necessary.

Archy [21]

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

$Distance = \sqrt{(x1-x2)^{2} + (y1-y2)^{2} }$

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>

<em> $Distance = \sqrt{((-2)-(3))^{2} + ((-1)-(5))^{2} }$ </em>

<em> $Distance = \sqrt{61}$ </em>

<em>Distance = 7.8102 units</em>

To the nearest tenth, Distance = 7.8 units

3 0

3 years ago

2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.

Alexeev081 [22]

Answer:

$\frac{18}{40}=0.45$

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Step-by-step explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

$\frac{18}{40}=0.45$

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

$S_{80}=0.503\\S_{120}=0.50$

6 0

3 years ago

Which statement best discribe 3×8=8×3

never [62]

Answer:

<h2>the associative property</h2>

Step-by-step explanation:

the associative property, the order of the numbers does not change their product

3 * 8 = 8 * 3

24 = 24

3 0

3 years ago

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height.

Leni [432]

1 foot = 12 inches. If you multiply 12 by 12 and then add 5, you get 149. 149 is less than 162 so it will be able to fit!

8 0

3 years ago

The tutor i had before explained it all but the answer wasn’t loading. that’s all!

VARVARA [1.3K]

Explanation:

The expression f(0) represents the value of the function at x=0 which means the y-intercept of the function.

the y-intercept of the graph is the point that crosses the y-axis.

From the given graph,

The y-intercept of the graph does not define.

Answer: f(0) = not defined

5 0

1 year ago

Which point is the incenter of ​ △DEF ​ ?

Which point is the incenter of △DEF ?