Answer:
The two triangles are similar because as the SSS similarity theorem states " two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional". While XYZ is larger than ABC, the two triangles have corresponding angles and sides.
Step-by-step explanation:
96x² = 8x(12x)
88x = 8x(11)
GCF = 8x
Z² -<span> 6z - 27 = 0
</span>z² + 3z - 9z - 27 = 0
z(z+3) - 9(z+3) = 0
(z+3)(z-9) = 0
z + 3 = 0 or z - 9 = 0
z = -3 z = 9
Answer: z=-3 and z=9
Answer:
c.145.3 to 154.7.
Step-by-step explanation:
We have to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a p-value of , so Z = 1.645.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 150 - 4.7 = 145.3.
The upper end of the interval is the sample mean added to M. So it is 150 + 4.7 = 154.7.
Thus the correct answer is given by option c.