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ludmilkaskok [199]
3 years ago
8

3 plss help Solve for x ...........

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

They are alternate interior angles so they add up to 90.

8x-4+60 = 90 would be the equation.

Now, just combine the like terms.

8x+56 = 90

8x = 34

x = 4.25

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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.
1) Translations - an item is "slid" to a new location.
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>
7 0
4 years ago
Read 2 more answers
The juice dispenser in the cafeteria holds 22 1/2 pints of juice. The glasses in the cafeteria only hold 1/4 of a pint of juice.
ivann1987 [24]

Answer:

are you sure there isn't a 90?

Step-by-step explanation:

Because  there are 4 quarters in a whole, so 22 x 4 = 88, and there are 2 quarters in 1/2 so it would be 88+2, which is 90.

5 0
3 years ago
Determine the value of x for which r||s if<br> .<br> m&lt;1 = 60 - 2x; and<br> m&lt;2 = 70 - 4x.
larisa [96]

Answer:

x=5

Step-by-step explanation:

m<1=m<2 ( r is parallel to s) corresponding angles are equal

60-2x=70-4x

70-60=-2x+4x

2x=10

x=10/2=5

m<1=60-2x = 60-10=50

m<2= 70-4x =70-20=50

8 0
3 years ago
How do you change 2.5 into a fraction a decimal to a fraction?
antiseptic1488 [7]
You put it over it’s number place so since .5 is in the tenths place you put it over 10
So it would be 2 5/10 after simplifying you get 2 1/2
8 0
3 years ago
Read 2 more answers
How am I supposed to find ‘t’ here?
Softa [21]

You can solve for (T)

y =  - 16t {}^{2} + 400 \\ add \: both \: side \: by \:  - 16t {}^{2}   \\  - 16t {}^{2}  =  - 400  \\ divide \: both \: side \: by16 \\ t {}^{2} =  - 25 \\ t =  \sqrt{25}   \\ t = 5 \\ \: also \: it \: can \: be \:  - 5 \\  +  - 5 \\  \\

Hope this help :)

6 0
3 years ago
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