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spin [16.1K]
3 years ago
6

Use the diagrams below to find the lengths of the missing sides. Figures in each diagram are similar.

Mathematics
2 answers:
lawyer [7]3 years ago
7 0

Answer:

<h2><em>x=</em><em>6</em></h2>

Step-by-step explanation:

<u>The</u><u> </u><u>two</u><u> triangles</u><u> are</u><u> </u><u>similar</u>

so the equation is

\frac{12}{18}  =  \frac{4}{x}

12x = 72

x =  \frac{72}{12}

x = 6

Novosadov [1.4K]3 years ago
6 0
12x=17 hope it help ✌
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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z&lt;5
abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

|z-6|-|z-5|,\ if\ z

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

|z-6| and |z-5|

Using the definition of absolute value function as per above definition.

|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z

|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression |z-6|-|z-5|,\ if\ z will be equivalent to :

-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}

So, the expression is equivalent to <em>1</em>.

6 0
3 years ago
Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side length
seraphim [82]

Answer:

A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known.

6 0
3 years ago
13 points !!-1/4 &gt; 1/2
Brrunno [24]
-1/4 is less then 1/2 because -1/4 is negative and 1/2 is positive and also -1/4 is 25% and 1/2 is 50%
4 0
3 years ago
will the inequality "7 multiplied by a number is greater than or equal to 21" have an open boundary point or a closed boundary p
ehidna [41]

Answer:

Closed boundary point

Step-by-step explanation:

It says greater than OR equal too and having a closed boundary will indicate that 21 is apart of the inequality also.

I hope this helps

5 0
2 years ago
HELP I NEED HELP ASAP
lilavasa [31]

Answer:

I think it its

Step-by-step explanation:

C if its wrong sorry

8 0
3 years ago
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