SAT Math Problem (Question)

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1

<p>Idk how to do this at all.
Can someone show me how to do it?
Thanks!
<a href="http://imageshack.com/a/img5/2575/hbyx.jpg%5B/url%5D"&gt;http://imageshack.com/a/img5/2575/hbyx.jpg&lt;/a&gt;&lt;/p>

2

<p>Just look at the interval where the graph of g(x) is higher than the graph of f(x). This occurs iff -3 < x < 0.</p>

3

<p>I have another question:
<a href=“http://imageshack.com/a/img824/6292/iqa3.jpg[/url]”>http://imageshack.com/a/img824/6292/iqa3.jpg&lt;/a&gt;&lt;/p&gt;

4

<p>The sum of the angles of a quadrilateral is 360. y + 2x + 360 - z = 360</p>

5

<p>Or you can go to the SAT Geometry bread and butter, namely the sum of the angles of a triangle.</p>

<p>In this case, extending any line that create TWO triangles will quickly point to the correct answer as two angles of said triangles are given. Playing with the value of the third one is a cinch.</p>

6

<p>Still need help on #12 (my 2nd question)</p>

7

<p>The question about the “triangles” or the funny figure? </p>

<p>There are two methods explained above. The sum of a four sided figure being 360 does point one solution. To be clear you add the given 3 angles and you deduct that from 360. Then you deduct that angle from 360. Of course, you might have guessed that the angle is none other the sum of the three given angles. </p>

<p>If that is confusing, follow the method that creates TWO triangles. It is very easy as soon as you draw the line and identify two angles of each triangle.</p>

8

<p>@oldschoolboy Of course the other people think it would be too hard to simply give you the answer. Here you go.
20+20+30+(360-z)= 360
z=70</p>

9

<p>^^</p>

<p>There is a difference between giving someone a fish, and teaching someone to fish. </p>

<p>The answer, which WAS provided in various ways above was not as relevant as sharing how one gets about to solve such easy problem. Fwiw, it is much easier to type the answer than to show how to “get” there. </p>

<p>For instance, all one could have done is type. </p>

<p>Add all the given angles >>> 30+20+20 = 70. Bingo, that is your answer. And the OP would have been none the wiser. </p>

<p>I hope you’ll notice that the above is exactly the same as you wrote. But again, that is not helping someone who is visibly struggling with the basic concepts of the SAT.</p>

10

<p>@xiggi okay so i don’t get how you first know the figure is a quadrilateral.
Second why do you add all the angles and subtract by 360 and then subtract that by 360 again?</p>

<p>I get a quadrilateral is equal to 360 degrees but i don’t get why you subtract it.
Ugh this is so confusing</p>

11

<p>I will explain as well as point out why using the second solution is a bit easier to follow. </p>

<p>The sums of all angles of a triangle is 180. Of a four sided figure (quadrilateral) is 360.</p>

<p>The quadrilateral figure has THREE angles given. Hence, 20 + 20 + 30 make a total of 70. The fourth angle, which is opposite to the angle z is thus 360 minus 70 or 290. That is that large external angle that wraps around z. </p>

<p>Now onto evaluating the angle for the answer. The total of 290 + z equals 360. Imagine a full circle around it and why that sum is 360. To get to z, you do 360 - 290 and the result is 70. </p>

<p>Again, if you were to use the method that requires to draw two triangles (any will work) you will see that each triangle will have TWO values given. Since the total is 180, the remaining angle is 180 minus the total of the other two. With that in mind, you can define the angle z pretty easily. Give it a shot and see how many triangles you could define. Remember that two angles that complete one side of a line also add to 180. </p>

<p>All the solutions work.</p>