What is the area of the shaded triangle? 72 mm2 096 mm2 120 mm2 0 150 mm

Mathematics

1 answer:

stellarik [79]4 years ago

5 0

Answer:

96 on edg

Step-by-step explanation:

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Elaine and her 3 friends purchased snacks after school for $3.60. If each person paid an equal amount, how much did each person

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Every person paid $1.20

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3 years ago

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Mama L [17]

Answer: x=25, y=19

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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:

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