The circumscribed circle is a circle which passes through all the vertices of a triangle.
This means the center of the circle must be at the same distance from all the vertices.
A point equidistant from the end point of a line segment always lies on the perpendicular bisector.
Also the point of concurrence of the perpendicular bisectors of the sides of the triangle is the circum center which is the center of circum cirle.
Hence we must draw the perpendicular bisector of any one side.
So Patrick's first step should be to construct the perpendicular bisector of ST.
Option A is the right answer.
Should be option B if I’m not wrong
Simplifying
x4 + 7x3 + 12x2
Reorder the terms:
12x2 + 7x3 + x4
Factor out the Greatest Common Factor (GCF), 'x2'.
x2(12 + 7x + x2)
Factor a trinomial.
x2((4 + x)(3 + x))
Final result:
x2(4 + x)(3 + x)
Answer:The number of text messages sent by his sister=162
Step-by-step explanation:
Step 1
The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister =4 to 9= 4:9
Number of text messages sent by Lucas =72
Total ratio is given as 4+ 9= 13
Step 2
such that the total number of messages sent by Lucas and by his sister will be calculated as
Ratio of text messages sent by Lucas/ total ratio x Total messages = Number of text messages sent by Lucas . Let X = Total number of messages
4/13 x X = 72
X=72 x 13 / 4 =234
Therefore, The number of text messages sent by his sister= ratio of text messages sent by his sister/ Total ratio x Total number of messages =
9/13 X 234= 162 messages
Answer:
the answer is 2,024
Step-by-step explanation:
all you have to do is add them up and you get your answer:)