Answer:
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
Step-by-step explanation:
1) we know that
m∠x=m∠z -----> by alternate interior angles
m∠x+58°=180° ----> by supplementary angles (form a linear pair)
m∠x=180°-58°=22°
therefore
m∠z=22°
2) m∠z+58°=180° ----> by same side interior angles
solve for z
m∠z=180°-58°=122°
therefore
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
Answer: ∠OZP = 62 ∠PZQ = 63
<u>Step-by-step explanation:</u>
Use the Angle Addition Postulate
∠OZP + ∠PZQ = ∠OZQ
(4r + 2) + (5r - 12) = 125
9r - 10 = 125
9r = 135
r = 15
∠OZP = 4r + 2
= 4(15) + 2
= 60 + 2
= 62
∠PZQ = 5r - 12
= 5(15) - 12
= 75 - 12
= 63
Answer:
1. There are 648 total combinations that can be chosen.
2. After she choses two possiblilities the total number changes to 108 total posibilities to chose from
Step-by-step explanation:
possibility: 1/2 x 1/3 x 1/2 x 1/6 x 1/9 = 648
then you remove the first two because she chose those ones
1/2 x 1/6 x 1/9 = 108 possibilities left
