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4 years ago

Find the measure of x, y, and z. Enter your answer as a number, rounded to the nearest tenth if needed.

Mathematics

1 answer:

weeeeeb [17]4 years ago

5 0

Answer:

x = 6.

y = 6.7.

z = 13.4.

Step-by-step explanation:

The 2 triangles contained in the biggest one are similar, so:

x/12 = 3/x

x^2 = 36

x = 6.

Applying the Pythagoras theorem:

z^2 = 6^2 + 12^2

z^2 = 36 + 144 = 180

z = 13.4.

y^2 = x^2 + 3^2

= 36 + 9

= 45

y = 6.7

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90/110 reduce the fraction

IrinaVladis [17]

90/110 reduces to 9/11. Good luck!

6 0

3 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. Wh

sashaice [31]

The answer would be 1/15.

Find the greatest common multiple of each fraction, then add them. You will get 1/15 out of it.

3 0

3 years ago

Can someone please help meee

pshichka [43]

Answer:

160

Step-by-step explanation:

Angle ABE is a 180 as ABE forms a line

so angle ABC + ANGLE CBE = 180

x + 20 = 180

x = 180-20

= 160

I hope im right!!

6 0

3 years ago

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STALIN [3.7K]

Answer:

OK with what

Step-by-step explanation:

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3 years ago

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