Answer: We reject the null hypothesis, and we use Normal distribution for the test.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis : 
Alternate hypothesis : 
There is 5% level of significance.
So, the test statistic would be
Since alternate hypothesis is left tailed test.
So, p-value = P(z≤-2.31)=0.0401
And the P-value =0.0401 is less than the given level of significance i.e. 5% 0.05.
So, we reject the null hypothesis, and we use Normal distribution for the test.
Vertical angles are made by two intersecting lines .and they are always equal
<span>∠C and ∠D are equal.
so </span><span>−x+26 =2x-10
-3x=-36
x=36/3
x=12</span>°
∠D= 2x-10
put value of x here
∠D=24-10
∠D=14°
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the length side KJ
In the right triangle JKM
Applying the Pythagoras Theorem
we have
substitute
simplify
step 2
Find the value of cosine of angle MJK in the right triangle JKM
substitute the values
simplify
-----> equation A
step 3
Find the value of cosine of angle MJK in the right triangle JKL
we have
----> remember equation A
substitute the values
Simplify
