The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.
Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.
The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.
The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)
If point D is the circumcenter, then we know this
AD = BD = CD
basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.
<h3>Answer: (2.5, -3.5)</h3>
note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2
Answer:
<h3>
The sum of m∠Q and m∠S must be equal 90°</h3>
Step-by-step explanation:
The measure of right angle is 90°
The sum of measures of angles in any triangle is 180°
so:
m∠Q + m∠S + ∠R = 180°
m∠Q + m∠S + 90° = 180°
m∠Q + m∠S = 180° - 90°
m∠Q + m∠S = 90°
Answer:
According with the diagram and using the definitions of planes, lines, and points, the statement true about line h is:
d. Line h has points on planes R, P, and T.
Solution:
a. Line h intersects line f at point B, the the statement a. is false.
b. Line h is on plane R, but is not in the intersection of two planes. Line g is in the intersection of planes R and T,, then statement b. is false.
c. Line l intersects plane P at point C, then statement c. is false.
d. Line h has points on planes R, P, and T, then statement d. is true.
Step-by-step explanation:
Answer:
8(7+4) (C.)
Step-by-step explanation:
First find the biggest number thta can go into 56 and 32:
8!
Since C. is the only one that has an 8 out in the front, let's try that one:
So C. Is correct!
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra i</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Square root both sides: