Answer:
x = 40
Step-by-step explanation:
The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:


Cross multiply


Subtract 24x from each side


Divide both sides by -15

x = 40
Answer:
Step-by-step explanation:
The given equation is:
5x+15 =0
Subtract 15 from both sides:
5x+15-15= 0-15
By solving the like terms we get:
5x=-15
Divide both sides by 5
5x/5 = -15/5
Simplify:
x= -3...
Answer:
-10x + 38
Step-by-step explanation:
-2(x-3) + 4(-2x+8) -------> -2x + 6 - 8x + 32 ----------> -10x + 38
Answer:
The correct answer is 6 cm.
Step-by-step explanation:
The measure of all angles of the triangle is given to be 60 degrees. This invariably means we are talking about an equilateral triangle as all angles of an equilateral triangle are equal.
Also all sides of an equilateral triangle is known to be equal. Therefore the measure of all sides of the concerned triangle are equal.
Given the measure of two length of sides are 6 cm respectively.
Therefore the length of side 3 is 6 cm, equal to the other two sides.
Answer: F. Statistic, because the data set of salaries of 50 employees is a sample.
Step-by-step explanation:
A parameter gives measure of a characteristic for the entire population where as a statistic gives measure of a characteristic for the subset of population (sample).
Given : The average annual salary of 50 of a company's 800 employees is $54,000.
It means the sample size = 50 and the sample mean salary= $54,000.
i.e $54,000 is giving the measure for mean salary for the sampled 50 employees.
It means $54,000 is a statistic .
Hence, the correct answer is option (F).