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Lena [83]
3 years ago
14

Which expression is equivalent to (144k^2r^14)1/2 for all positive values of k and r?

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer: B

Step-by-step explanation:

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12. Find the measure of each interior angle of triangle QRT.
Veseljchak [2.6K]

Answer:

\angle QRT=125.6\°

\angle RTQ=6.4\°

\angle TQR=48\°

Step-by-step explanation:

It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this case we can idenfity that the angle 17x is an exterior angle of the triangle QRT. Then:

17x=\angle RTQ+\angle TQR

Where:

\angle RTQ=2x\\\\\angle TQR=48\°

Substituting values and solving for "x", we get:

17x=2x+48\\\\17x-2x=48\\\\15x=48\\\\x=3.2

Then:

17x=17(3.2)=54.4\°\\\\\\\angle RTQ=2(3.2)=6.4\°

The sum of the interior angles of a triangle is 180°, therefore:

\angle QRT+\angle RTQ+\angle TQR=180

Solving for \angle QRT, we get:

\angle QRT=180-48-6.4=125.6\°

8 0
3 years ago
In a baseball league consisting of 15 teams, each team plays each of the other teams three times. How many games will be​ played
denis23 [38]

Answer:

  315

Step-by-step explanation:

Each of the 15 teams plays each of the other 14, for a total of 210 games. However, that count includes both A playing B and B playing A. Hence, if the teams meet 3 times, the total number of games will be 3/2 this amount:

  (15)(14)(3/2) = 315 . . . league games

5 0
3 years ago
What is the simplest form of the ratio 11 : 16? A. 1 : 6 B. 5 : 8 C. 11 : 16 D. 22 : 32
Volgvan

Answer:

c

Step-by-step explanation:

c because 11 and 16 have no GCF other than 1

4 0
3 years ago
Read 2 more answers
What is the vertex of the graph of the function below y=x^2-8x+12
Sever21 [200]
That is the answer Y=x^-8x12, xER
9 0
3 years ago
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What would the equation be for the points (0,-2) and (2,6) be? (SLOPE INTERCEPT FORM y=mx+b)
Paladinen [302]

Answer:

Slope m=4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

We have A(0,-2)->x1=0, y1=-2

B(2,6)->x2=2, y2=6

7 0
2 years ago
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