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Ira Lisetskai [31]
3 years ago
7

A choir teacher is dividing 3 sopranos and 12 altos into singing groups. he wants each group to have the same combination of sop

ranos and altos, with no singers left over. what is the greatest number of groups he can make?
Mathematics
1 answer:
Andreyy893 years ago
7 0
You can have a maximum of 3 groups. This is due to the fact that you only have 3 sopranos to equally divide between groups. Over 3 you would have a group lacking a soprano so 3 is the greatest you can make it.
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How many triangles can be formed with segments measuring 4. 7 m, 1. 6 m, and 2. 9 m? none one more than one.
Svet_ta [14]

The sum of the length of the two sides of the triangle must be greater than the length of the third side. None of the triangles is formed. Then option A is correct.

<h3>What is the triangle?</h3>

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The sides of the triangle are 4.7 m, 1.6 m, and 2.9 m.

The condition will be

1.6 + 2.9 \ngtr  4.7

We know that the sum of the length of two sides of the triangle must be greater than the length of the third side.

Hence, none of the triangles is formed.

Thus, option A is correct.

More about the triangle link is given below.

brainly.com/question/25813512

4 0
2 years ago
Find the value of X. Show work!!!
barxatty [35]

Answer:

x = -10

Angle 2 = 49°

Angle 3 = 49°

Step-by-step explanation:

In the given figure, it's an isosceles triangle

so, angle 2 = angle 3

( since their opposite sides are equal )

now,

in the given triangle,

=》Angle 2 + Angle 3 + 82° = 180°

( sum of all interior angles of the triangle = 180° )

=》Angle 2 + Angle 3 = 180° - 82

=》Angle 2 + Angle 3 = 98°

=》2 × Angle 2 = 98°

( since, angle 2 = angle 3 )

=》Angle 2 = 98° / 2

=》Angle 2 = 49°

so, Angle 2 = 49° = Angle 3

now,

Angle 2 = x + 59

=》49 = x + 59

=》x = 49 - 59

=》x = -10

6 0
3 years ago
(X^2+6x+9)/(x+2) quotient
Shalnov [3]

             x+4
         ___________
(x+2)|(x^2+6x+9)
        -x^2-2x
         __________
                 4x+9
               -4x-8
         __________
                        1

so the quotient is:

(x+2)(x+4)+1/(x+2)
6 0
3 years ago
Which equation represents “nine less than k is three”?
evablogger [386]

Answer:

k - 9 = 3

And k = 12

5 0
3 years ago
Read 2 more answers
Here are two polygons on a grid. Is PQRST a scaled copy of ABCDE?
Bezzdna [24]

*see attachment showing the two polygons in a grid.

Answer:

No, PQRST is not a scale copy of ABCDE because we the sides are not increased proportionally.

Step-by-step explanation:

A polygon can be said to be a scaled copy of another polygon, if the the same scale factor is used in scaling every segment of the preimage or original image to get the length of the corresponding segments of the scale copy or image. In order words, all segments must be scaled proportionally.

Polygon PQRST, which is the new image, has different scale factors used in scaling the various segments of the preimage. In simple terms, the sides of PQRST were not increased proportionally. Therefore, PQRST is not a scaled copy of ABCDE.

5 0
3 years ago
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