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Talja [164]
2 years ago
10

Dante has scored 30, 18, and 28 points in his three basketball games so far. How many points does he need to score in his next g

ame so that his average (mean) is 26 points per game
Mathematics
1 answer:
QveST [7]2 years ago
7 0

Answer:

He needs to score 28 points.

Step-by-step explanation:

1^{st}\,\,score: 30\,\,points;\\\\2^{nd}\,\,score: 18\,\,points;\\\\3^{rd}\,\,score: 28\,\,points;\\\\4^{th}\,\,score: \,\,?

Let's calculate Dante's 4th score, given that the average is 26 points:

\frac{S1 + S2 + S3 + S4}{4} = 26\\\\\frac{30 + 18 + 28 + S4}{4} = 26\\\\76 + S4 = 104\\\\S4 = 28\,\,points.

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nevsk [136]

Answer:

Transformation include reflecting and dilating of points

The scale factor from PQR to P'Q'R' is 1/4

The coordinates of P"Q"R" are P"=(-1,0) Q"=(0,-1)  R"=(2,-1)           .

PQR and P′'Q′'R′' are not congruent

The points are given as:

p=(4,0)

q=(0,-4)

r=(-8,-4)

p'=(1,0)

q'=(0-1)

r'=(-2,-1)

(a)The scale factor from PQR to P'Q'R

To do this, we make use of corresponding sides QR and Q'R

So, the scale factor (k) is:

k=q'r'/qr

k=2/8

k=1/4

(b) The coordinates of P"Q"R from reflecting P'Q'R' about the y-axis

The rule of this transformation is:

(x,y)--------(-x,y)

So, we have:

p"=(-1,0)

q"=(0,-1)

r"=(2,-1)

(c) Are triangle PQR and P"Q'R" congruent?

No they are not

This is so because

PQR was dilated by 1/4 to get P'Q'R

P'Q'R' and P"Q"R" are congruent

Hence,  PQR and P′'Q′'R′' are not congruent

Step-by-step explanation:

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3 years ago
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263 trees on each acre
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AnnyKZ [126]

Answer: There is not enough information to answer this question.

Step-by-step explanation:

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3 years ago
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9) 80 is 20% of what number?
sweet-ann [11.9K]
<h3><u>Answer:</u></h3>
  • 400 is the number.
<h3><u>Step-by-step explanation:</u></h3>

<em>There can be many ways to find the number.</em><em> I have found the number with the help of fractions and multiplication. </em><em>Below is the solution to your problem.</em>

  • 80 = 20/100
  • => 5 x 80 = 20 x 5/100
  • => 400
<h3><u>Conclusion:</u></h3>

<em>Hence, 80 is 20% of 400. </em><em>I hope my method helped you.</em>

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