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1 year ago

A conjecture and the two-column proof used to prove the conjecture are shown.

Mathematics

2 answers:

Archy [21]1 year ago

7 0

The conjecture and the two-column proof used to prove the conjecture are as explained below.

<h3>How to prove transitive property of Congruence?</h3>

Transitive property of congruence states that if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then it means that the first line or angle or triangle is congruent to the third line or angle or triangle. For example, if ∠A is congruent to ∠ B, and ∠ B is congruent to ∠ C, then we can say that, ∠ A is congruent to ∠ C.

The two column proof to prove the given conjecture are as follow;

Statement 1: S is the midpoint of RT

Reason 1: Given

Statement 2: RS ≅ ST

Reason 2: Definition of midpoint

Statement 3: ST ≅ XY

Reason 3: Given

Statement 4: RS ≅ XY

Reason 4: Transitive property of congruence

Read more about Transitive property of congruence at; brainly.com/question/2416659

#SPJ1

masya89 [10]1 year ago

4 0

Place the answers in this order

AB=CE

CE =AC

transitive property of congruence

definition of isosceles triangle

I included a link with proof that these are the correct answers, I took the test.

I HOPE THIS HELPS & GOOD LUCK <3

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If he starts at 1 and jumps 3 units to the left, then where is he on the number line? How far away from zero is he? (explain how

Liono4ka [1.6K]

Answer:

he is at -3

Step-by-step explanation:

On a number chart, If he goes 3 left hes going 3 negative. So it would be -3

I hope this helps!

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3 years ago

Read 2 more answers

Write<br> -4<br> _<br> 7<br> as a decimal.

Aleksandr [31]

This is super easy all you have to do is divide

-4/7

Which would be -0.57 or rounded 0.6

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3 years ago

Solve with Quadratics

leonid [27]

Answer:

x = 1 ± $\sqrt{6}$

Step-by-step explanation:

Given

2x² - 4x = 10 ( divide through by 2 )

x² - 2x = 5

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 5 + 1

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3 years ago

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Elan Coil [88]

Answer:

Step-by-step explanation:

So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!

So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.

*In the future*

When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.

For example:

ln(x) and e^x are inverses so if I had a composition like this:

$e^{ln(2)}$