Answer:
When 2 lines are parallel, the sum of interior corresponding angles = 180
120 + b = 180
b = 180 - 120 = 60
a + 30 = 180
a = 180 - 30 = 150
Answer:
x = 12
Step-by-step explanation:
The sum of exterior angles is = 360
one of the angle is given we will need to add all three angles
128 + 8x + 11x + 4 = 360 add like terms
19x + 132 = 360 subtract 132 from both sides
19x = 268 divide both sides by 19
x = 12 replace x in required expressions to find the measure of the angles
Answer:
Area of the parallelogram = 21.6 cm²
Step-by-step explanation:
Area of a parallelogram = Base × Height of the side parallel to the base
By using ruler,
Base = 4.8 cm
Height of parallelogram = 4.5 cm
Area of the parallelogram = 4.8 × 4.5
= 21.6 cm²
Answer:
<h2>32/1125</h2>
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/Total outcome.
If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.
If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;
Probability of selecting 2 comedies = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).
Probability of selecting 1 action movie = 6/15 = 2/5
<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>
<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>
Distribute and combine like-terms!
-4x + 12x - 2x - 2
6x - 2
