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prisoha [69]
2 years ago
9

Which expression is equivalent to the following complex fraction?

Mathematics
1 answer:
inn [45]2 years ago
8 0

Answer:

\frac{3}{x - 1}  -  \frac{4}{2 }  -  \frac{2}{x - 1}  \\  =  \frac{(3 - 2)}{x - 1}  - 2 \\  =  \frac{1}{x - 1}  - 2 \\  =  \frac{1 - 2x + 2}{x - 1}  \\  =  \frac{3 - 2x}{x - 1}

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In , side is extended to point E. When connected to vertex A, segment is parallel to segment . In this construction, you are giv
givi [52]
  1. Angle 1 is congruent to angle 2, since BD bisects <ABC and the two angles created on each side of the bisector at point B are equal.
  2. <2 ≅ <3 because of the corresponding angles theorem.
  3. <1 ≅ <4 because alternate angles are congruent if two parallel lines are cut by a transversal.
  4. <3 ≅ <4 by the substitution property of equality.
  5. AD/CD = EB/CB by the triangle proportionality theorem.
  6. If two angles in a triangle are congruent, the sides opposite the angles are congruent, so AE = EB.
  7. AD/CD = AB/CB by the substitution property of equality.

<h3>The properties of similar triangles.</h3>

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

<h3>What is the substitution property of equality?</h3>

The substitution property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.

In this context, we can reasonably infer and logically deduce that the ratio of AD/CD is equal to AB/CB based on the substitution property of equality.

Read more on substitution property here: brainly.com/question/2459140

#SPJ1

Complete Question:

In ΔABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction, you are given that BD bisects <ABC.

Prove: AD/CD = AB/CB.

Complete the paragraph proof.

8 0
1 year ago
Your turn!<br> Problem 1<br> Determine the translation that maps point B(2, 1) to point B'(-4,5).
Charra [1.4K]

Answer:

Shift 4 units up, and 4 units to the left.

Step-by-step explanation:

4 0
3 years ago
Im confused can you please write abcde
Karolina [17]

Answer:

abcde

Step-by-step explanation:

that was very hard, I deserve brainlyest

5 0
2 years ago
Which pair of expressions is equivalent?
dlinn [17]

Answer:

B

Step-by-step explanation:

sorry if i am wrong

6 0
3 years ago
Find 6% of $5.65 and round the product to the nearest cent.
Leviafan [203]

Answer:

$0.34

Step-by-step explanation:

a = p*w

a = .06*5.65

a = 0.339

rounded = 0.34

hope this helps :)

8 0
3 years ago
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