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2 years ago

Please help I don't understand!

Mathematics

1 answer:

Fiesta28 [93]2 years ago

6 0

The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.

<h3>How to interpret similar triangles?</h3>

From triangle similarity theorems, we know that;

If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.

Now, from the given diagram, we see the ratio of corresponding sides are congruent as;

45/30 = 54/36 = 36/24 = 1.5

Thus, the triangles are similar by SSS similarity theorem

Read more about Similar Triangles at; brainly.com/question/14285697

#SPJ1

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3 years ago

Describe and correct the error(s) made in each of the problems below.

ladessa [460]

Answer:

$\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}$

$\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}$

Step-by-step explanation:

<u>Errors in Algebraic Operations </u>

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

$1-x / (5-x)(-x)=x-1 / x(x-5)$

Let's arrange into format:

$\displaystyle \frac{1-x}{(5-x)(-x)} =\frac{x-1 }{ x(x-5)}$

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

$\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}$

Now for the second expression

$5/s+2/5=2/s$

Let's arrange into format

$\displaystyle \frac{5}{s}+\frac{2}{5} =\frac{2}{s}$

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

$\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}$

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3 years ago

15 + brainliest help me please

Fiesta28 [93]

2f +4f +2 -3
combine the like terms to get 6f-1

so yes they are equivalent

2f+4f+2-3 at f=3 would also be 17

8 0

3 years ago

Read 2 more answers