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NNADVOKAT [17]
3 years ago
6

The team scored 71 points in the last game. Alice, Bianca,Camila,and Dasha each scored 14 points. The remaining 3 girls on the t

eam scored the rest of the points.
Find the Maximum number of points that each of the other 3 girls could have scored, if they each scored the same whole number of points
Mathematics
1 answer:
poizon [28]3 years ago
4 0

Answer:

5 points

Step-by-step explanation:

Alice, Bianca, Camila, and Dasha each scored 14 points.  14 x 4 = 56

56 + 15 = 71

3 x 5 = 15

The three remaining girls scored 5 points each.

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3 years ago
Find m∠DEC (the picture is not drawn to scale).
pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

m∠DEC + x = 180

<u>(x - 45) + (x - 12) = x</u>

Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x                             Remove parenthesis

2x - 57 = x                                       Combine like terms

2x = x + 57                                      Add 57 to both sides

<u>x = 57</u><u>                                             Subtract x from both sides</u>

Finding m∠D:

x - 45 = ?

<u>57 - 45 = </u><u>12º                                          </u>

Finding m∠C:

x - 12 = ?

<u>57 - 12 = </u><u>45º                                           </u>

<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>

<em>Finding </em>m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

Hope this helps,

❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤

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