Answer:
Step-by-step explanation:
Sin (π - x ) = Sin x = m
1: right triangle, 2: right triangle, 3: not a right triangle, 4:not a right triangle.
Answer:
If we are choosing students at random from all students who got a B:
Total number of non-female students who got a B: 19
Total number of students who got a B: 36
Probability: 19/36
If we are choosing students at random from all students:
Total number of non-female students who got a B: 19
Total number of students: 78
Probability: 19/78
Answer:
a = 82
b = 130
c = 118
Step-by-step explanation:
A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
a° + 98° = 180°
a° = 180° - 98°
a° = 82°
a = 82
By inscribed angle theorem:
a° = 1/2(b° + 34°)
82° * 2 = b° + 34°
164° - 34° = b°
b° = 130°
b = 130
Again by inscribed angle theorem:
76° = 1/2(c° + 34°)
76° *2 = c° + 34°
152° - 34° = c°
c° = 118°
c = 118
2) since it's given that line MO bisects <PMN and <PON, that means that <NMO is congruent to <PMO - definition of bisector
3) reflexive property
5) the same rule for #2
6) ASA because angles <PMN cong. to <PON and then side MO=MO, then angle <NMO=PMO
