Divide through everything by <em>b</em> :
Since <em>a/b</em> < <em>c/d</em>, it follows that
Multiply through everything on the right side by <em>b/d</em> to get
and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.
For the other side, you can do something similar and divide through everything by <em>d</em> :
and <em>a/b</em> < <em>c/d</em> tells us that
Then
and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) > <em>a/b</em>.
Then together we get the desired inequality.
Answer: 11 party bags with 1 sticker leftover
Each bag contains 4 bubbles, 8 stickers, and 5 pencils.
<u>Step-by-step explanation:</u>
Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)
44: 2 x 2 x <u>11</u>
89: prime so choose 88 with 1 leftover
88: 2 x 2 x 2 x <u>11</u>
55: 5 x <u>11</u>
GCF = 11
Disregard the GCF to see how many of that item should go in each bag.
Bubbles: 2 x 2
Stickers: 2 x 2 x 2
Pencils: 5
Answer:
D. Corresponding.
Step-by-step explanation:
<u>Interior angles</u> are always on the inside of a set of lines, an example being that if the answer had been interior angles, the top orange line would most likely move just below the straight line it is resting upon and turn so that it would look something like the first picture attached. The picture attached shows a. alternate interior. They can be considered alternate due to the fact that they are on two different sides of that diagonal line.
<u>Exterior angles</u> would be where they are placed in the drawing you provided now, except alternate exterior angles would be on alternating sides of that significant diagonal line. A picture is attached and shows what b. alternate exterior might look like.
<u>Vertical angles</u> appear on opposing sides. This one is hard to word, but I will attach a picture if it allows me to. You see in your picture where the top orange line is resting? Jump across that line. Jump one down in that little acute angle place that is still touching the top horizontal line. This is where you would have had to place your bottom orange angle to make it vertical.
<u>Corresponding angles</u> are just like shown in the question you were given. With corresponding angles, they are always on the same side of the diagonal lines splitting the sides, yet one will seem to rest on the interior and the other will rest on the exterior so that they both look exactly the same curve wise. I would provide a chart online since this is not really one to draw since you already have, but I do not want this answer taken down for plagiarism. Just look up corresponding angles online and it should show you what I mean.
<span><u>PLAN</u>
</span>(2,4) and (2,-3)
<span><u>SOLVE</u>
</span>. 2
. |4|= 4 |-3|=<span> 3
</span>. Distance from (2,4) to the x-axis= <span>6
</span>. Distance from (2,-3) to the x-axis=<span> -1
. 6 + (-1) = 5 blocks
</span>
Answer:
Number 4. is 17.3 degrees and 7. is 30 degrees.
Step-by-step explanation:
4. is 17.3 because 50 degrees subtract 32.7 and the answer is 17.3.
7. I used a protractor.