Answer:
1, 4, 5
Step-by-step explanation:
Consider right triangle JKL with right angle JKL and height KM. This height divides triangle into two right triangles KML and KMJ.
Note that
So, by AA theorem, we have three similar triangles
So, options 1, 4 and 5 are true
There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.
Answer:
<h3>B.
</h3>
Step-by-step explanation:
CPI stands for Consumer Price Index, which is the measure of average prices to goods and services.
So, in this case, we have to find the average price for the given basket in year 2.
We know that in year 2, a toothbrush tube costs $1.25 and a tube of toothpaste costs $2.10. If we have 5 toothbrushes and 2 tubes of toothpaste, the total cost would be
Now, the CPI would be the sum of these costs
Therefore, the Consume Price Index for this basket of goods is
B.
She made a mistake when she subtracted x1 from x2.
Step-by-step explanation:
Step 1 :
a)
The formula used by Lorena to calculate the slope between 2 points is correct
So the statement given in option 1 is not the reason for her mistake
Step 2:
b)
She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope
Hence the statement in second option is not true
Step 3:
c)
While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.
Hence she has made a mistake in subtracting x1 from x2 and this statement is true
Step 4:
d)
She has not made any mistake in subtracting y1 from y2. Hence this statement is not true
