All categories

3 years ago

To prove that the triangle are similar by the sss similarity theorem it needs to be shown that

Mathematics

1 answer:

Korolek [52]3 years ago

4 0

For this case, we have that by definition, the triangle similarity theorem related to the angles, establishes that:

<em>For two triangles to be similar, the angles of one of them must be congruent to the angles of the other triangle. </em>

On the other hand, we have:

<em>For a pair of triangles to be similar, it is sufficient to have a congruent angle between the proportional sides. </em>

In addition, we have the following side theorem (SSS):

<em>Two triangles that have the three proportional sides are similar to each other. </em>

ANswer:

Two triangles that have the three proportional sides are similar to each other.

You might be interested in

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

3 years ago

For this exponential function what is the output value (y) when the input value (x) is 0?

Alenkinab [10]

Answer:

Step-by-step explanation:

$y^0=1\\5^0=1\\12*1=12$

6 0

3 years ago

15 + r as a verbal expression

kodGreya [7K]

Hey there!

<h2>ANSWER: $r+15$ </h2><h2>EXPLANATION:</h2><h2> $15+r$ </h2>

Simplify by flipping.

$r+15$

Hope this helps!

- TestedHyperr

7 0

3 years ago

List the sides from shortest to longest

LUCKY_DIMON [66]

Answer:

L to K

K to J

Step-by-step explanation:

the length between L and K is shorter when compared the side K to J

hope it helps :)

5 0

3 years ago

Read 2 more answers

The midpoint of AB is (-4,-7) if the coordinates of A are (-7,-6) what are the coordinates of B

slava [35]

Answer:

(-1,-8)

Step-by-step explanation:

7 0

3 years ago