You have 4 options:
4 cards: because you draw cards and don't replace them your chance p changes on every trial, so it can't be a binomial experiment
roll 2 dice until...: a binomial experiment must have a consistent amount of trials, by doing an action until some condition is fulfilled violates this as the amount of trials or throws in this case is random
ask 9 people: there are three options, binomial experiments can only have 2
the only option left is the spinner, which is a binomial experiment
<LMP and <NMP are supplementary angles so sum = 180
<LMP + <NMP = 180
(-16x + 13) + ( - 20x + 23) = 180
-16x + 13 - 20x + 23 = 180
-36x + 36 = 180
-36x = 144
x = -4
<LMP = -16x + 13 = -16(-4) + 13 = 77
<NMP = - 20x + 23 = - 20(-4) + 23 = 103
Answer
<LMP = 77°
<NMP = 103°
Answer:
Step-by-step explanation:
m∠JXM + m∠NXP = 180° - m∠MXN = 90°
Answer:
D. Rectangle
Step-by-step explanation:
If you cut the pyramid with a plane parallel to the base, a square is obtained. If the plane is perpendicular to the base, you can obtain two different figures; if the plane passes through the vertex, a triangle is obtained, but if it doesn't pass through the vertex, a trapezoid is obtained.