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3 years ago

What is the value of x ?

Mathematics

1 answer:

valina [46]3 years ago

4 0

Answer:

The value of x = 9

Step-by-step explanation:

∵ The figure has right angle and a line ⊥ from the right angle to the hypotenuse

∴ There is a relation between the ⊥ line and the two parts of the hypotenuse

∴ (⊥)² = multiplication of the two parts of the hypotenuse

∴ (6)²= 4 × x

∴ 36 = 4 × x

∴ x = 36/4 = 9

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Step-by-step explanation:

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2 years ago

What is the total price of a $45.79 item when a 7% taxe is added

meriva

Answer:

$42.58

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Line segment YV of rectangle YVWX measures 24 units.

oksian1 [2.3K]

Answer: $YX=13.85\ units$

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

$WV=YX\\\\YV=XW=24$

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You can identify that:

$\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24$

Therefore, in order to find the length of the segment YX, you must substitute values into $tan\alpha =\frac{opposite}{adjacent}$ and then you must solve for YX.

You get that this is:

$tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85$