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3 years ago

Solve for the missing side length Need help please

Mathematics

2 answers:

natita [175]3 years ago

6 0

Answer:

Step-by-step explanation:

Let the missing side be represented as x.

Applying the triangle proportionality theorem, we have:

$\frac{15}{x} = \frac{14 - 4}{4}$

Solve for x

$\frac{15}{x} = \frac{10}{4}$

Cross multiply

$x(10) = 4(15)$

$10x = 60$

Divide both sides by 10

x = 6

babymother [125]3 years ago

3 0

Answer:

Step-by-step explanation:

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2 years ago

Y varies directly as xy equals 5 when X is 8 how do you find y when X is 9

FrozenT [24]

Given, y varies directly as x

So,

$y=c\cdot x$

Where c is a constant

When y equals 5 when x is 8

So,

$\begin{gathered} 5=c\cdot8 \\ c=\frac{5}{8} \\ \end{gathered}$

So, the relation between y and x

$y=\frac{5}{8}x$

now , when x = 9

Substitute with x to find y

$y=\frac{5}{8}\cdot9=\frac{45}{8}$

So, the answer is option 2. y = 45/8

5 0

8 months ago

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

ddd [48]

Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

$\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}$

$\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}$

4 0

3 years ago

What is the prime factorization of 60

jeka57 [31]

Answer:

2*2*3*5

Step-by-step explanation:

We need to factor 60 until it is prime numbers

60 = 12*5 5 is prime 12 is not

=3*4 *5 3,5 prime 4 is not

= 3 *2*2 *5 2,3,5 are prime

Rearranging the order

=2*2*3*5

5 0

3 years ago

Which is one way to check 102 ÷ 6 = 17

Nikolay [14]

The answer is B. 100/5=20 hope i helped

3 0

3 years ago