By looking at the number line, we can conclude that:
-R > 0
-R = V
So the true statements are A and B.
<h3>
What can we conclude about R?</h3>
Here we can see that the number R is at 4 tick marks at the left of T, where T is 0.
So R is a number smaller than zero.
Then the negative value of R, -R is larger than zero:
-R > 0.
So A is true.
Then we also can see that V is at 4 units of T, but in the positive side.
So R and V are at the same distance of T = 0, which means that:
-R = V
So B is also true.
If you want to learn more about number lines:
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5²-0²=25
5 can represent x, making x² equal to 25
If 0 represents y, there will not be any change to the 25, fulfilling the equation given.
x= 5
y= 0
Answer:
Salary: $90,500
Step-by-step explanation:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

An employee was having their annual appraisal and the manager indicated that the employee salary for next year has a Z-score of 1.24. Approximately how much will this employee be paid next year in salary?
This is X when
. So




Rouded to the nearest hundred of dollars:
Salary: $90,500
Answer:
22 meters
Step-by-step explanation:
What we know:
Side AB is 7 1/2 m long, Side BC is 2 1/4 m long, and Side DE is 1 1/4 m long.
Saying Sides AH and FG are the same as Sides DE and BC respectively, we can add another 3 1/2 m to the perimeter.
If CD, EF and GH are each 1/3 of AB, then 7 1/2 is added again.
7.5 + (2.5 * 3) * (2.25 * 2) + (1.25 * 2)
7.5 + 7.5 + 4.5 + 2.5
15 + 7
The perimeter is 22 meters.
<span>Consider the triangles ERT and CTR.
|ER|=|CT| shown
(</span>Therefore, one can say that segment ER is congruent to segment CT.)
m(R)=m(T)= 90°shown
(By the definition of a rectangle, all four angles measure 90°)
|RT|=|TR|
so we have Side Angle Side congruence.
By the <span>(SAS) Theorem, the triangles are congruent.
Answer: </span><span>C (SAS) Theorem</span>