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3 years ago

What information is necessary to prove two triangles are similar by the SAS similarity theorem?

Mathematics

2 answers:

Irina18 [472]3 years ago

4 0

Answer:

If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

Step-by-step explanation:

Airida [17]3 years ago

4 0

Answer:

You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.

Step-by-step explanation:

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Cyclists and runners are surveyed about their preferred method for replacing carbohydrates during a long race. The results of th

Novay_Z [31]

Answer:

no its not correct

Step-by-step explanation:

6 0

3 years ago

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Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.

Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

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6 0

2 years ago

A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

$\sin\theta=\dfrac{h}{H}$

h is perpendicular and H is hypotenuse

So,

$\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}$

Now using Pythagoras theoerm,

$b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft$

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

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3 years ago

Factor the expression 1.5x+6

swat32

There is no way to factor this so i would assume the answer is no solution.

7 0

3 years ago

Hello can you please help me posted picture of question

irina [24]

We are to form the combination of 6 objects taken 2 at a time. This can be expressed as 6C2

$6C2= \frac{6!}{2!*4!} \\ \\ 
= \frac{6*5}{2} \\ \\ 
=15$

This means, there can be 15 different combinations of 2 members that can sit in the front row.

So, the answer to this question is option A

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3 years ago

Read 2 more answers