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3 years ago

Of the numbers listed below, which are not multiples of 4? 2,4,7,8,12,15,19,24,34

Mathematics

2 answers:

sashaice [31]3 years ago

6 0

7,15,19,34 are not multiples of four. to find this answer out just divide four into them.

Ugo [173]3 years ago

4 0

2, 7, 15, 19, and 34 are not multiples of 4.

4, 8, 12, and 24 are multiples of 4.

I really hope this helps you and have a great day!! :)

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3 years ago

How many times does 12 go inside of 384

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3 years ago

The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle ha

grandymaker [24]

<h2>Answers:</h2>

These problems can be solved by the Thales’s Theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

In addition, if two triangles are similar, their angles are similar as well. This means that the relation between two sides of the big triangle is equal to the relation between two sides of the small triangle, as follows:

$\frac{B}{A}=\frac{b}{a}$

Knowing this, lets’s begin with the answers:

1. For this first problem, see the first figure attached. There are shown the two triangles, and we are told both are similar, this means (according the prior explanation above) that we can use the Thale’s Theorem to find $x$ .

Therefore, we can establish a relation between two sides of the big triangle which is equal to the relation between two sides of the small triangle; in this case let’s use $B$ and $C$ for the first triangle and $b$ and $c$ for the second:

$\frac{C}{B}=\frac{c}{b}$

$\frac{6x+28}{96}=\frac{25}{24}$

Now we find $x$ :

$6x+28=\frac{(25)(96)}{24}$

$6x+28=100$

$6x=100-28$

$x=\frac{72}{6}$

$x=12$

Finally, the value of $x$ is 12 units.

2. For this problem, see the second figure attached. In order to find the values of the segments BE and EC, we will use two sides of each triangle (ABE and DCE) according to the Thale’s Theorem:

For the segment BE:

$\frac{BE}{10}=\frac{x+3}{4}$