Answer:
Step-by-step explanation:
<u><em>Given equation is</em></u>
Adding 42 to both sides
Completing squares
Adding (3)² => 9 and (3)² => 9 to both sides
Comparing it with 
where Center = (h,k) and Radius = r
We get:
Center = (3,3)
Radius = 
The measure of MN from the diagram is 6
<h3>Similarity theorem of triangles</h3>
From the given triangle, the expression below is true;
ML/LK = MN/NO
Given the following parameters
ML = 4
LK = 10
NO= 15
Substitute the given parameters into the formula
4/10 = MN/15
Cross multiply
10MN = 4 * 15
10MN = 60
MN = 6
Hence the measure of MN from the diagram is 6
Learn more on similar triangles here: brainly.com/question/14285697
Answer: ME
Step-by-step explanation:
For the first one. An equilateral triangle is one with three equal sides. An isosceles triangle is one with two equal sides. Therefore, every equilateral triangle is isosceles, but not every isosceles triangle is equilateral. So far, so book.
For the second one. Right triangles are defined as triangles that contain a right angle, where a right angle is an angle with a measure of 90°. Isosceles triangles are defined as triangles that have two sides of equal length.
