Answer:
y + z = x
Step-by-step explanation:
Let's rename angle BAC to w. Now, we have four angles: w, x, y, and z. We know that w + y + z has to equal 180 degrees, because a triangle's three angels always adds up to 180 degrees. We also know that w + x equals 180 degrees, because they are on the same line. These two phrases are equal:
w + y + z = w + x
We can then cancel w on each side:
y + z = x
Hope this helps! :)
Answer:
C
Step-by-step explanation:
to figure this out, lets understand how decimals work
a decimal number in the tens place before the decimal
↓ here
0.00
that number will be the same number as the numerator or top number of a fraction in tenths
↓ here
0/10
so say it was 4/10 we needed to find, we would look on the number line for 0.40 like in answer choice B (NOT THE CORRECT ANSWER FOR THIS PROBLEM)
hope this helps you out on your work :)
Answer:
To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!
Step-by-step explanation:
The fraction of the orange juice will be 2/3cup.
Why?
Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.
We can calculate the fraction of the orange juice using the following information:
Hence, we have that the fraction of the orange juice will be 2/3cup.
Have a nice day!
