To solve for x, you must first understand how the median was calculated out of the given set of numbers. Without looking at the given median value, we can see that we cannot get the median by process of elimination since there are an even amount of numbers in this particular set. Therefore, we must average the two closest values to what should be the median.
In this case, the values are "45" and "x". If we pretend that we know the value of the variable "x" (for example we will pretend that x is 55), then we should have an equation that looks like this: (45+55) ÷ 2 = [median]. What this equation is doing is adding the two closest values to the median (45 and 55) and dividing it by 2, the number of values we are averaging. Now we can solve this equation and simplify it to 100 ÷ 2 which is 50, our median.
So if they give us the median instead of the x value, then we can rewrite the equation to fit your request: (45+x) ÷ 2 = 51. Now we can solve for x:
1. Multiply by 2
(45+x) = 102
2. Subtract 45
x = 57
The x value for your question is 57.
Answer:
104
Step-by-step explanation:
A rhombus diagonal bisect each other so that means half of the diagonal is equal to the other half.
Applying that, this means
Since they are equal we can divide AC by 2 to find AE and EC.
20/2=10
AE=10, EC=10
Same for DB
48/2=24
DE=24, EB=24
A rhombus diagonals are perpendicular to each other so each middle angle will measure 90 degree.
Looking closer, a rhombus has 4 right triangles. We only need to use one.
Look at triangle AEB. We know AE=10 and EB=24 and Angle E=90. We can apply pythagorean theorem to find side AB.
The perimeter of rhombus is equal to
4a, where a is the length of one side.
One side measures 26 so we can plug that in.
Hello! :)
Answer:
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
First, you multiply by exponent from left/right.
Final answer is →
Hope this helps you!
Have a nice day! :)
-Charlie
Thank you!
The triangle ABC is similar to triangle LMP. The order here is very important. The letters correspond to one another
A corresponds to L (first letters of each sequence)
B corresponds to M (second letters of each sequence)
C corresponds to P (third letters of each sequence)
In a similar fashion, the segments also correspond to one another.
AB corresponds to LM (first two letters of each sequence)
AC corresponds to LP (first and last letters of each sequence)
BC corresponds to MP (last two letters of each sequence)
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AB corresponds to LM. AB is 4 units long. LM is 2 units long. So AB is twice as long as LM. This ratio (of 2:1) will be applied to every paired corresponding value.
Also, the right angle is at angle M for triangle LMP. The right angle will be at angle B for triangle ABC (since B corresponds to M). The answer will have an x coordinate of 7. So the answer is either choice B or choice C.
If we move 4 units down from point B, we land on (7,-10). That isn't listed as an answer choice. Let's try moving 4 units up from point B. We land on (7,-2). This is an answer choice
So the final answer is choice C) (7,-2)
Answer:
25
Step-by-step explanation:
The answer is 25 because if the ratio is 4:5 and there are 20 girls that means they multiplied 4 times 5 to get 20 and that means you have to do the same to the ratio of boy and when you multiply 5 times 5 you get 25