Answer: A
Step-by-step explanation:
The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.
Answer:
For 99% of confidence interval is 67.5±1.3524
Step-by-step explanation:
Given:
Mean height =67.5 inches
Standard deviation:2.1 inches
Z at 99%.
No of samples 16.
To find:
confidence interval
Solution:
We have formula for confidence interval,
=mean ±Z*{standard deviation/sqrt(no.of observation)}
Now
Z=99%
has standard value as ,
Z=2.576
Confidence interval= mean±Z{standard deviation/sqrt(No. of samples)}
=67.5±2.57{(2.1/sqrt(16)}
=67.5±2.576(2.1/4)
=67.5±1.3524
Answer:
The value of 
is -30.
Step-by-step explanation:
Let 
, we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:
(1)
(2)
(3)
From (3) we find the least root:
![x = \sqrt [3]{\frac{8}{27}}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%7B%5Cfrac%7B8%7D%7B27%7D%7D)
By (2) we have the value of :
We can see that OW/IG = 5/15 = 1/3 and CW/PG = 7/21 = 1/3. So we have two ratios that result in the same value (1/3). We would need to know if CO/IP is also 1/3 as well, so we can use the SSS similarity theorem. However we don't have that information. So we can't use SSS.
Alternatively, if we knew that angle CWO = angle PGI, then we can use the SAS similarity theorem. But that bit of info isn't given to us, so we can't use SAS either.
AA can't be used because we don't know anything about any pairs of angles.
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In short, the answer is choice D. It cannot be determined. There isn't enough information.
