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cupoosta [38]
3 years ago
13

An Ice cream shop offers the following toppings:

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0
The corect answer is 15.

This is a combination of 6 objects taken 4 at a time:

_6C_4=\frac{6!}{4!2!}=\frac{720}{48}=15
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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
3 years ago
Read 2 more answers
A bus travels 168 km on 14 litres of petrol how far will it travel on 27 litre​
wariber [46]

Answer:

324 km

Step-by-step explanation:

5 0
2 years ago
The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n.
Sladkaya [172]

Answer:

4, 10

Step-by-step explanation:

The value for the third side of the triangle is given by

b-a < n < b+a where a and b are the two other sides of the triangle and b>a

7-4 < n < 7+4

3 < n < 11

Since n is an integer

4 would be the smallest value and 10 would be the largest

8 0
3 years ago
Read 2 more answers
Don’t mind the already picked answer..i don’t understand this question though
Tatiana [17]
The answer is = because all of the other dimensions to the triangles are equal.
5 0
3 years ago
I only need number 1 i don’t understand.
valentinak56 [21]

Answer:

12

Step-by-step explanation:

in this problem there is A+b=15

A=9

B=12

5 0
3 years ago
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