Midline theorem states that the cuts along the midline of a triangle creates a segment that is parallel to the base and half of the base.. The length of the line segment MN is 58 cm. Thus the option A is the correct option.
Given information-
The figure for the given problem is attached below.
In the given figure,
Thus the<em> M</em> is the midpoint of the line segment <em>AB.</em>
In the given figure,
Thus the<em> N</em> is the midpoint of the line segment <em>BC.</em>
<h3>Midline theorem</h3>
Midline theorem states that the cuts along the midline of a triangle creates a segment that is parallel to the base and half of the base.
Thus the length of the line segment<em> MN</em> can be given as,
Put the values ,
Thus the length of the line segment MN is 58 cm. Thus the option A is the correct option.
Learn more about the midline theorem here;
brainly.com/question/7717322
Answer:
2xy∧²√13xy
Step-by-step explanation:
7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.
Answer:
Exponential growth is called growth because its curve increases really fast, so that's the main characteristic of exponential growth. I'm attaching an example of a function with exponential growth, which is the change of population size over time.
Answer:
The answer is
Step-by-step explanation:
The following steps will give a solution to the congruence
1. <em>Compute Euler's Phi function .</em>
We have by prime factorization, so that
because where p is a prime number.
2. <em>Find positive integers u and v that satisfy .</em>
We know a solution exists, since , using the Euclidean algorithm allows us to find the solution
In order to get positive values for <em>u</em> and <em>v</em>, we modify this solution:
and
The equation
provides the key to solving the original problem.
3. <em>Compute by successive squaring. The value obtained gives the solution x.</em>
We have , so
To use this method start by looking at the exponent 929 and represent it as a sum of powers of 2 this is called the binary expansion of 929. To do this, find the largest power of 2 less than your exponent in this case it’s . Subtract 512 from 929 getting 417. And continue in this manner to get:
Now
So all you have to do is to calculate the numbers
and multiply them together, then take the product