The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
If both printers work together. Then the number of the pamphlets will be 20x in four hours.
<h3>What is Algebra?</h3>
Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.
The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.
Let x be the number of the pamphlets are printed by the old printer in one hour.
Then the number of the pamphlets are printed by the new printer in one hour will be 4x.
Then if they work together, then the number of the pamphlets in one hour will be 5x.
Then the number of the pamphlets in 4 hour will be
→ 5x × 4
→ 20x
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
Answer:
4k-6
Step-by-step explanation:
Answer:
<em>P</em> = 2/3
Step-by-step explanation:
45 cards in all
15 blue
15 red
15 green
To figure out the probability of red and blue together, add red and blue.
15 + 15 = 30
Since the total is 45, this is how many 30 will be out of.
30 out of 45 = 30/45
Simplify 30/45 by dividing each side by 15
30 ÷ 15 = 2
45 ÷ 15 = 3
30/45 = 2/3
Answer:
6/7
Step-by-step explanation:
18/21 dollars is simplified when you divide the fraction by 3 on each number. So you get 6/7 of her money was spent.
