If we know that line
is equal to line
, then this means that ∠
has to be equal to ∠
in order to form a closed triangle. All angle measures of a triangle add up to
°, so use the equation:
.
70 + x = 180
Subtract 70 from both sides to isolate x:
180 - 70 = 110
110 = x
Hope this helped.
Step-by-step explanation:
value of d = 90° ( as it's a perpendicular)
e = 49° ( vertically opposite angle)
as, sum of all angles on a straight line is 180°
so,
48° + f = 180°
f = 180 - 49 = 131°
f = 131°
<em><u>hope </u></em><em><u>this </u></em><em><u>answer </u></em><em><u>helps </u></em><em><u>you </u></em><em><u>dear.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>take </u></em><em><u>care!</u></em>
Answer:
...
Step-by-step explanation:
(x+8)(y+3)
Answer:
2.09523809524 is decimal form i could not convert it
Step-by-step explanation:
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 .