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2 years ago

What is the value of x? A 5 B 2.5 C 7.5 D 10

Mathematics

2 answers:

aleksandrvk [35]2 years ago

6 0

Answer:

The answer is

A - 5

Step-by-step explanation:

RoseWind [281]2 years ago

3 0

Answer:

A 5

Step-by-step explanation:

Parts on the left have the same ratio as parts on the right.

... x/(x+5) = (x -2)/(x +1)

Multiplying by (x+5)(x+1), we get

... x(x +1) = (x -2)(x +5)

... x² +x = x² +3x -10 . . . . eliminate parentheses

... 0 = 2x -10 . . . . . . . . . . subtract x²+x

... 0 = x -5 . . . . . . . . . . . . divide by 2

... 5 = x . . . . . . . . . . . . . . . add 5

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Step-by-step explanation:

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2 years ago

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Which angle measures create a triangle with three different side lengths?

dedylja [7]

Answer:

Step-by-step explanation:

For 3 different side lengths, you need 3 different angles. That eliminates A, B and D.

A: In the case of A, The angles do not add up to 180 so this is not possible. Even if it was, the angles are all the same and the side lengths would be as well.

B: Two angles are the same, therefore, 2 sides will be the same, even though the two sides added together will be larger than the side opposite.

D: Two angles are the same. The angles add to 180. The triangle will have 2 equal sides.

C: Answer. The three given angles add to 180. They are different. Unless the side opposite 93 exceeds the length of the other 2 sides, this forms a triangle with 3 different sides. Using other methods to calculate the answer the other 2 sides do exceed the the base length so everything is fine.

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2 years ago

The congruence theorem that can be used to prove △LON ≅ △LMN is SSS. ASA. SAS. HL.

Zinaida [17]

Answer:

The correct option is SSS (Side-Side-Side) Theorem

Step-by-step explanation:

The question is incomplete because the diagrams of ΔLON and ΔLMN are not given. I have attached the diagram of both triangles below for better understanding of the question.

Consider the diagram attached below. We have to find the congruence theorem which can be used to prove that ΔLON ≅ ΔLMN

We can see in the diagram that both triangle have a common side that is LN. It means 1 side of both triangles is congruent because LN≅LN

Consider the sides ON and MN. Both side have a single bar on them, which means that it is given that both of these side are congruent. Hence ON≅MN

Consider the sides LO and LM. Both side have a double bars on them, which means that it is given that both of these side are also congruent. Hence LO≅LM

SSS theorem states that if all sides of the triangles are congruent, then the triangles themselves are also congruent, which is the same case in this question