A.) 30+10=40. So, 90-40=50. Your answer is 50 degrees.
B.) 45+4=49. So, 90-49=41. Your answer is 41 degrees.
C.) 8 to the square root of 2+45=56.31. So, 90-56.31=33.69. Your answer is 33.69 or 33.7 if you need to round.
D.) One angle is 30 degrees, and another angle is 60 degrees. Your other angle is 90 degrees.
E.) 60+6=66. 90-66=24. Your answer is 24 degrees.
F.) 45+6=51. 90-51=39. Your answer is 39 degrees.
So - first you gotta put it in the y = mx + b form.
4Y = 3X +8
=> y = 4/3X + 1/2
A parallel line has the same slope. So if 3X - 4Y + 8=0 has a slope of 4/3 then the value of K must also be 4/3
Answer:
x= -5
Hope this helps!
Answer: 0.8461
Step-by-step explanation:
Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.
As per given , we have p=0.40
A random sample is taken with size : n= 400
Expecting sample proportion : 
Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

![=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]](https://tex.z-dn.net/?f=%3DP%28z%3E%5Cdfrac%7B0.375-0.40%7D%7B%5Csqrt%7B%5Cdfrac%7B0.40%280.60%29%7D%7B400%7D%7D%7D%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5D)

[By z-table]
Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .