Answer:
Step-by-step explanation:
Since x=2 is a vertical line, there is no y-intercept
10x-2y=10 We need to solve this equation for "y" to put it into slope intercept form:
10x-2y=10
-2y = -10x +10 Subtracted 10x from both sides
y = 5x - 5 Divided both sides by -2
y = 5x - 5 Is slope intercept form
<u><em>Answer:</em></u>
<u><em>D. 51</em></u>
Explanation:
This question's it's about the order of operations. P-parenthesis, E-exponents, M-multiply, D-divide, A-add, and S-subtract. It can also go left to right.
First, do exponents.
Then add left to right.
Hope this helps!
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Answer:
D
Step-by-step explanation:
If both legs of the triangle are the same, then, using the rules of pythagorem theorm,
leg A= 4
leg B= 4
Square both the legs and then add so you get the hypotenuse.
4*4=16
4*4=16
Add both them up
16+16=32
Since 32 doesnt have a square root that is a whole number we leave it in the squareroot sign so it looks more clean.
Check out the attached image for the answers.
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Statement 2 is blank, but it has the reasoning "Corresponding angles postulate"
Because BD || AE, we know that the corresponding angles are congruent.
One pair of corresponding angles is angle 1 and angle 4. This is because they are on the same side of the transversal AC and they are both above their parallel line counter-part. Similarly, angle 2 and angle 3 are another corresponding pair.
So you'll have "angle1=angle4, angle3=angle2" in the first blank slot
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Reason 3 is blank. The statement is that triangle ACE is similar to triangle BCD. The reason why the are similar is the AA (angle angle) similarity postulate. This says that if you know two pairs of angles are congruent, then the triangles are similar. The two pairs of angles were mentioned back on the previous line (line 2)
So you'll put "Angle-Angle Similarity Postulate" in the second blank.
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Look at the line just above the last line. Here we have
1 + (BA/CB) = 1 + (DE/CD)
If we subtract 1 from both sides, we end up with,
BA/CB = DE/CD
which is what will go in the last blank space
Side Note: The last statement will always be what you want to prove. So you can just look at the very top of the problem where it says "Prove:" under the "Given" part. Then just copy/paste the statement you want to prove, which in this case is BA/CB = DE/CD