Since both rectangles are similar, the following ratio must be fulfilled:
By multiplying both sides by 14, we get
and by subtracting 9 to both sides, we have
Therefore, the answer is 12.
Help ASAP please
1 answer:
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Answer:
or
Step-by-step explanation:
Substitution means plugging in one variable's value that consists of the opposite variable. Because is already specified, you can plug it into the second equation's
value. After doing that, it looks like this:
Then you would distribute the across the parentheses next to it, like this:
Then, add like terms, like this:
Then divide both side by to isolate
.
Now, you can plug (
) into either equation, but the first one seems simpler so you would pick that. It would look like this:
Solving would look like this:
So the answer is or
.
Answer:
z = 74 degrees
y = 115 degrees
Step-by-step explanation:
Explanation in the attachment.
Answers:
P(A) = 7/12
P(B) = 1/2
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Explanation:
To see how I calculated P(A), check out this link to this very similar question
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Now to calculate P(B)
If a number is divisible by 2, then the number is a multiple of 2.
In other words, the number is even.
Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.
Here's a further breakdown
- 1 copy of "2"
- 3 copies of "4"
- 5 copies of "6"
- 5 copies of "8"
- 3 copies of "10"
- 1 copy of 12
Side note: We have nice symmetry going on.
There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.
P(B) = 18/36 = (1*18)/(2*18) = 1/2
