Answer:
2,520 nickles in $126
Step-by-step explanation:
126 dollars x 100 cents
= 12,600 cents
then
12,600 cents / 5 cents
= 2,520 nickels
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Answer:
11.2 cm
Step-by-step explanation:
62.72 / 5.6 = 11.2
Answer:
Step-by-step explanation:
Let's write that out completely:
The rule for going from log to exponential is what I call the "circular rule" in my classes and the kids never forget it. Take the base of the log, raise it to the power of the number on the other side of the equals sign, and then circle back to set it equal to the argument.
e is the base. Raise e to the 7th and circle back to set the whole thing equal to x (x is called the argument):
choice C.
M and n are supplementary angles, which means they are 180 degrees. Since the left side of m is 75 degrees, the right side must be 105 because it has to equal 180 degrees (180 - 75 = 105).
Since the left side of m (75 degrees) and the right side of n (10x + 15 degrees) are criss-cross from each other they are opposites. The left side of m and the left side of n are equal while the right side of m and the right side of n are equal. In other words, (10x + 15 degrees) is equal to 105 because the one directly above it is 105. We can make an equation to find x knowing this.
10x + 15 = 105
10x + 15 - 15 = 105 - 15
10x = 90
x = 9
Check:
10(9) + 15 = 105
90 + 15 = 105
105 = 105
<span>m∠C is read as "the measure of angle C." From the picture we see that angle B is a right angle which makes it 90 degrees, So angles A and C must be less than 90 degrees since a triangle's angles always must equal 180 degrees in total. Now that we know that B is 90 degrees, we can find x by dividing 90 by 3.
3x = 90
90/3 = 30
x = 30
Check:
3(30) = 90
We now know that x equals 30, so plug x into the other angles to find out what those ones equal. In this case, A equals 30, and C equals 2(30) = 60.
</span>The measure of angle KJL is another way of asking for the measure of angle J since it is in the middle; it is where the angle is made. We know that the outside ∠JLM is 140 degrees, and ∠JKL is 75 degrees, so this makes the outside of ∠L = 140 degrees and ∠K = 75 degrees. If you remember our supplementary angles from above, this is almost the same concept. We see that JLM is a supplementary angle, and since it is 140 degrees this makes the inside of angle L equal to 40 (180 - 140 = 40.)
Now let's gather what we figured out: ∠K = 75 degrees and ∠L = 40 degrees. Remember that a triangle must always equal 180 degrees total, so add angles K and L together, then subtract that from 180.
180 - (75 + 40) = ∠J (which is another way of saying ∠KJL.)
180 - 115 = ∠J
65 = ∠J
Angle KJL is 65 degrees.
I know this is a lot of reading, so I am sorry if I made it a bit confusing. If you have anymore questions, feel free to ask! Hope this was helpful!
