One person recieves 1. Second person receives 2. Third person receives 3. The amount of cards left over is 94. So the fourth person receives the highest amount possible with everyone in positive numbers of cards.
Step 1
<u>Find the measure of angle x</u>
we know that
If ray NP bisects <MNQ
then
m<MNQ=m<PNM+m<PNQ ------> equation A
and
m<PNM=m<PNQ -------> equation B
we have that
m<MNQ=(8x+12)°
m<PNQ=78°
so
substitute in equation A
(8x+12)=78+78-------> 8x+12=156------> 8x=156-12
8x=144------> x=18°
Step 2
<u>Find the measure of angle y</u>
we have
m<PNM=(3y-9)°
m<PNM=78°
so
3y-9=78------> 3y=87------> y=29°
therefore
<u>the answer is</u>
the measure of x is 18° and the measure of y is 29°
<h2>-2+5i and 2+5i</h2>
Step-by-step explanation:
Let the complex numbers be 
.
Given, sum is 
, difference is 
and product is 
.
⇒ 
⇒ 
Hence, all three equations are consistent yielding the complex numbers 
.
Answer:
They are dependent because we have to select from people who are given cards.
Step By Step Explanation:
So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .
Probability we'll be equal to = number of people with card(C) two persons/total number of people
Where C represent combination
<span>4(a^2 + 2b) - 2b
= 4a^2 + 8b - 2b
=</span> 4a^2 + 6b
