To simplify 4/(2+7i), we multiply it by a fraction equal to one that removes the i value in the denominator. The best value to do this is the complex conjugate divided by itself, so we have 4(2-7i)/((2+7i)(2-7i)). Simplifying, we have (8-28i)/(4-(-49))=(8-28i)/53, which is a completely simplified fraction since 8 and 53 are relatively prime (or coprime), and there are no radicals in the denominator.
The measure of the right angle is 90 degrees. add 25 to 90 to get 115. 180-115= 65 so your answer is 65
When Sawyer went to sleep it was -2.
Overnight the temperature dropped -15 degrees more.
-2 + -15 = -17
When Sawyer woke up, the temperature was -17 degrees.
The probability that Alexa spins an orange is zero. Since there is no orange on the spinner, there is no way for her to get an orange. Hope this helped!
I believe its 50 because 0.35x50=17.5 (35%=0.35)
