Answer:
x = 20
Step-by-step explanation:
The triangle is isosceles ( 2 congruent sides )
Hence the base angles are congruent, thus
3x = 60 ( divide both sides by 3 )
x = 20
Answer:
Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.
Answer:
Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.
Step-by-step explanation:
|DF| = |DE| + |EF|
|DF| = 9x -36
|DE| = 47
|EF| = 3x+10
Substitute:
9x - 39 = 47 + 3x + 10
9x - 39 = 3x + 57 |+39
9x = 3x + 96 |-3x
6x = 96 |:6
x = 16
Put the value of x to the equation |EF| = 3x + 10
|EF| = (3)(16) + 10 = 48 + 10 = 58
Answer: |EF| = 58
Sin (a+b) = sin a. cos b + cos a. sin b
a= 50° and b=40°, then
sin(50+40) = sin 50° . cos 40° + cos 50° . sin 40°
sin(50+40) = sin 90° = 1 and
sin 50° . cos 40° + cos 50° . sin 40° = 1
