HELP ASAP Solve for x. Show or explain your work.

Mathematics

1 answer:

irinina [24]3 years ago

7 0

Answer:

$x=4.5$

Step-by-step explanation:

From AAA, both triangles in this figure are similar. Therefore, we can set up the following proportion:

$\frac{x}{9}=\frac{x+3}{15}$ or $\frac{x}{9}=\frac{3}{6}$ .

Cross-multiplying, we get:

$6x=9(3),\\6x=27,\\x=\frac{27}{6}=\fbox{$4.5$}$ .

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Product of two natural numbers p and q is 590 and their hcf is 59. how many set of values of p and q is possible

djverab [1.8K]

$\text{Let the product of two natural numbers p and q is 590, and their HCF is 59}\\
\\
\text{we know that the product of LCM and HCF of any two numbers is equal}\\
\text{to the product of the numbers. that is}\\
\\
\text{HCF}\times \text{ LCM}=p\times q\\
\\
\Rightarrow 59 \times \text{LCM}=590\\
\\
\Rightarrow \text{LCM}=\frac{590}{59}\\
\\
\Rightarrow \text{LCM}=10\\
\\
\text{for any two natural numbers, their Least Common Multiple (LCM) is always}$

$\text{greater than their HCF.}\\
\\
\text{but here we can see that }LCM$

Hence there is no such natural numbers exist.

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Answer:

Step-by-step explanation:

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Answer:

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