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Katyanochek1 [597]
3 years ago
10

10. Complete the missing reasons in the proof shown below.

Mathematics
1 answer:
irina [24]3 years ago
3 0
Reason 1: Given
With any proof, the first line is always what you are given. You simply repeat it to set up a formal proof. Yes it seems redundant but it's just how proofs are done.

Reason 2: Vertical Angle Theorem
Vertical angles are formed by two lines crossing to form an X shape. The vertical angles are opposite one another. They are congruent angles.

Reason 3: ASA (angle side angle) Congruence Theorem
In statement 1, we found the A and S part, while statement 2 provides the other A allowing us to use ASA. Notice how the segment (S) is between the two angles (A)

Reason 4: CPCTC
Since we know the triangles are congruent (back in statement 3), we know the corresponding pieces are congruent. CPCTC stands for "corresponding parts of congruent triangles are congruent"
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Answer:

The equation, y=3 x,

Step-by-step explanation:

y=Distance traveled

x =Total time

Also, in terms of straight line

Slope =3= uniform Velocity

Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit, and 15 unit=Distance traveled in 5 (Unit of time).

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6 0
4 years ago
Work out the size of angle x <br> Next to 164 and 90
Zielflug [23.3K]

Answer:

x=106 degrees

Step-by-step explanation:

I'm going to assume that this is a circle since you didn't give it to me

So you want to add 164 and 90 together and subtract the sum by 360

360-(164+90)=106

So you want to use PEMDAS (order of operations) to solve this

  1. so do what's in the perenthesis first so 164+90=254
  2. Then you want to subtract 254 from 360 so 360-254=106

x=106 degrees

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Simplify 10x-4-2x+19
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What is the solution of the equation f(x) = g(x) ?
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x^{-\frac{1}{2}} = \sqrt{x} - \frac{3}{2}
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is D) x = 4. Hope this helps and have a great day!

4 0
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