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Phantasy [73]
3 years ago
15

Find the missing length of the longer leg in the 30° – 60° – 90° triangle. short leg = 3

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

3 root 3

Step-by-step explanation:

in a 30 60 90 degree triangle the side lengths are always in the ratio 1 2 and root 3

if the shortest leg is 3

that means the other legs ar

6 and 3 root 3

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You purchase 2 action figures per week. You have 48 action figures, which is 75% of the total number of action figures you need
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Answer:

Step-by-step explanation:

Let the total number of action figures = x

75% of x = 48

\dfrac{75}{100}*x=48\\\\Multiply \ by \ 100\\\\75*x =48*100\\\\Divide  \ by \ 75\\\\x=\dfrac{48*100}{75}\\\\\\x=16*4\\\\x= 64

Remaining action figures need to be collected = total figures - number of action figures I have

= 64 - 48 = 16

Number of weeks = 16 ÷ 2 = 8

It will take 8 weeks to collect 16 action figures.

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2 years ago
Before a sale, an item’s price was $38.00; during the sale, it was 15% off. What was the sale price?
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38 times (1-15%)
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4 0
3 years ago
The degree measure of an acute angle in a right triangle is x. If sinx=2/3, determine if each of the following expressions is al
leonid [27]
<h2> ☞ANSWER☜ </h2>

The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

8 0
2 years ago
Which expression is equivalent to 4(m+5)?
Taya2010 [7]
The answer is b 4m+20
4 0
3 years ago
Read 2 more answers
Angle XYZ is rotated 270 degrees counterclockwise about the origin to form angle X’Y’Z’. Which statement shows the measure of an
8090 [49]
It is fine that you did not include the measure of angle XYZ in your posting.

This question is testing your knowledge of the four types of transformations.
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2) Reflections - an item is "flipped" (usually over the x-axis or y-axis)
3) Rotations - an item is rotated, usually around the origin (the point (0,0) is the center of most rotations, especially in high school math).
4) Dilations - an item is enlarged or reduced by a certain ratio.

It the first three, the image after the transformation is congruent to the pre-image.  It has the same size and shape.  It is simply flipped, rotated, slid...

But... in the fourth, dilation, the image now has a different size.  It is still, however the same shape.

In geometry terms, after the first three transformations, the image is still "congruent" to the pre-image.  After dilation, the image is "similar" but not "congruent."

So... all that to say that when you rotate an angle around the origin, the measure of the angle doesn't change.

So the first choice is correct.  The measure of the image of the angle is the same as the measure of the angle.
<span>m∠X’Y’Z’ = m∠XYZ
</span>
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3 years ago
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