Answer:
Step-by-step explanation:
ΔABC & ΔADE are similar triangles

Cross multiply,
12*x = 12*4

x = 1 * 4
x = 4
Answer:
And rounded up we have that n=8068
Step-by-step explanation:
The margin of error for the proportion interval is given by this:
(a)
We want for this case a 95% of confidence desired, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for this case is
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The estimated proportion for this case is
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=8068
Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
Answer:
Step-by-step explanation:
Let x = third side
Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.
Answer: C
Explanation:
. there are multiple sockets that can be interchanged easily to accommodate many different size nuts and bolts