Consider the figure below. Given: PM PN, LM 1MNMN 1 ON
LN bisects ZMNO, OM bisects LLMN
Which of the following statements is enough to prove AMPLANPO?
A
If proving LP OP by Isosceles Triangle Theorem, and LM ON using substitution, then
AMPL a ANPO because of SSS.
B
If proving 2MPL 2 2NPO because they are vertical angles, and LMP LONP because of
definition of angle bisectors, then AMPL 2 ANPO because of ASA.
If proving LP = OP by Isosceles Triangle Theorem, and 2MPLZNPO because they are
vertical angles, then AMPL DANPO because of SAS.
If PM PN, LM 1 MNMN 1 ON, LN bisects ZMNO, OM bisects ZIMN are given statements,
then there is enough to prove AMPLANPO by AAS.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.