Answer:
<h2>
E) 84</h2><h2 />
Step-by-step explanation:
side AB is congruent to side AX
this means that the angle ∠A = 4x is the same angle as ∠Z
therefore ∠A = ∠Z = 4x
inside angle of a triangle = 180
∠A + ∠B + ∠Z = 180
4x + 7x + 4x = 180
15x = 180
x = 180/15
x = 12
now substitute x = 12 into angle B
∠B = 7x
∠B = 7 (12)
∠B = 84
therefore, the answer is E) 84
Answer:
You have to multiply the numbers diagonally not vertically.
So
10x = 7(350)
10x = 2450
<u>x = 245</u>
I'm thinking this is what the problem looks like:

. The first thing to do is to move the

over to the other side because it has a common denominator with the other side. Doing that and at the same time combining them over their common denominator looks like this:

. The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4). Distributing through the parenthesis is 12 - 3x = -4x + 16. Solving for x gives us x = 4. Of course when we sub a 4 back in for x we get real problems, don't we? Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.
Answer:
C; It would become wider due to using the z-distribution
Step-by-step explanation:
Mathematically, we go on to look at the formula for confidence interval calculations here
The formula involves multiplying z by the s
which is the z-value and the standard deviation
Increasing the standard deviation value means we are increasing the product of multiplying z and s
This means that we are getting a larger value for the multiplication
Thus, we now have a wider confidence interval value as a result of a larger product
So this means that the CI would become wider due to the usage of the z-distribution