The data observed from the triangle are given below.
Statement Reason
Given
Draw 
so that M is the midpoint of QR. Two points determine a line
Definition of midpoint
Reflexive property of congruence
SSS congruence postulate
CPCTC
SSS means side-side-side
CPCTC means corresponding parts of the congruence triangle are congruent.
Hence the given triangle is SSS congruence postulate
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula we need here is
which simplifies to
which simplifies to
36 + 6x = 40 + 5x and
x = 4
So DG = 5 + 4 + 3 which is 12
Answer:
1.27, -6.27 to the nearest hundredth,
or if you require it in exact form,
-2.5 + √14.25, -2.5 - √14.25.
Step-by-step explanation:
x^2 = -5x + 8
x^2 + 5x = 8
Competing the square:
(x + 2.5)^2 - 6.25 = 8
(x + 2.5) = 14.25
x + 2.5 = +/-√14.25
x = -2.5 + √14.25, -2.5 - √14.25
x = -2.5 + 3.77, -2.5 - 3.77
= 1.27, -6.27.
Answer:
72
Step-by-step explanation:
32pi×360/2pi(8)=72
central angle= arc length 360/2pi×r
