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1 year ago

An inscribed circle isall 3 sides of the triangle it is inscribed in.

Mathematics

1 answer:

Dafna11 [192]1 year ago

8 0

An inscribed circle is tangent to

all 3 sides of the triangle it is inscribed in.

The correct option is the second option

Explanation

A circle is inscribed in the triangle if the triangle's three sides are all tangents to a circle. In this situation, the circle is called an inscribed circle, and its center is called the inner center, or incenter.

Since the triangle's three sides are all tangents to the inscribed circle, the distances from the circle's center to the three sides are all equal to the circle's radius

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a hiking trail is 20 kilometers long. park organizers want to build 5 rest stops for hikers with one on each end of the trail an

ICE Princess25 [194]

The distance that will separate each rest stop is 4 kilometers.

<h3>What is the distance?</h3>

Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

The distance = length of the trail / number of rest stops

20 km / 5 = 4km

To learn more about division, please check: brainly.com/question/13281206

#SPJ1

3 0

2 years ago

20. The sum of two consecutive even integers is 158. Find the least of the two integers.

Mumz [18]

Answer:

Step-by-step explanation:

The tricky part of this is figuring out how to assign the unknowns. We are told that we are working with two consecutive even integers. Consecutive means "next to" or "in order" and sum means to add. If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2. So the lesser of the 2 integers is x, and the next one in order will be x + 2. (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem. You could pick any 2 even consecutive integers and find the same rule applies. All we are doing here with the example numbers is finding a rule for our integers.) Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:

x + (x + 2) = 158

The parenthesis are unnecessary since we are adding, so when we combine like terms we get

2x + 2 = 158 and

2x = 156 and

x = 78

That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158

6 0

3 years ago

Read 2 more answers

the graph shown below expresses a redical function that can be written in the form f(x)= a(x+k)^1/n + c. what does the graph tel

Oliga [24]

The value of n given the form of the function is (b) positive odd number

<h3>How to interpret the graph?</h3>

The form of the graph is given as:

f(x) = a(x + k)^1/n + c

For the given graph, we have the following features:

a > 0 --- a is positive

k > 0 --- k is positive

c < 0 --- c is negative

If n is an even number, the function would be undefined because the even root of a number is undefined

However, the function is defined if n is an odd number,

Hence, the value of n given the form of the function is a positive odd number