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mixer [17]
2 years ago
14

The triangles are similar. If PN = 12, QP = 8, and PM = 17, find QR.

Mathematics
1 answer:
natulia [17]2 years ago
3 0

Answer:

  28 1/3

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

__

<h3>setup</h3>

Triangle NPM is similar to triangle NQR, so the proportion of interest is ...

  QR/PM = QN/PN . . . . . ratios of corresponding sides

Filling in the given values, we have ...

  QR/17 = (8 +12)/12 . . . . . . . . QN = QP+PN

__

<h3>solution</h3>

  QR = 17(20/12) = 28 1/3 . . . . . multiply by 17

The length of QR is 28 1/3 units.
_____

<em>Additional comment</em>

Corresponding vertices are listed in the same order in the similarity statement. Corresponding segments can be found by considering the position of the endpoint vertices in the similarity statement.

It is generally convenient to write the proportion with the unknown length in the numerator. This means the equation can be solved by simply multiplying by that denominator.

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Which function has the same y-intercept as the function?<br>​
rosijanka [135]

Answer:

6x -7y = 21

Step-by-step explanation:

The y-intercept of a line is the y value when x = 0. In the equation y = \frac23 x -3 \\, we can solve for its equation when we plug in x = 0.

Solving for y when x = 0:

y = \frac23 x -3 \\ y = \frac23 (0) -3 \\ y = -3.

So the y-intercept of the equation y = \frac23 x -3 \\ is -3.

To find what equation has the same y-intercept, we can do the same process for each equations given by the choices. However, I can see that the equation, 6x -7y = 21, has the y-intercept. If in doubt, you can check for the solution below or solve each equations for yourself.

Solving for y when x = 0:

6x -7y = 21 \\ 6(0) -7y = 21 \\ 0 -7y = 21 \\ -7y = 21 \\ \frac{-7y}{-7} = \frac{21}{-7} \\ y = -3

8 0
3 years ago
5
Leto [7]

Answer:

False.

Step-by-step explanation:

If we substitute a for 6, the inequality would become 6 > 6. That is not true because 6 cannot be greater than itself.

3 0
3 years ago
Can someone please help me with this
sdas [7]
So for 1: You divide 1780 by 36 to get your answer. You will get a remainder but in this situation, we ignore it since you wouldn’t be able to wrap another gift completely

2: Divide 247 by 52. Again, you will get a remainder but in this situation we found up to the nearest whole because to be able to take all the kids, you would need another bus.

3: Divide 98 by 28. You will get a remainder, then you take that and divide it by 28, and simplify it, to get the fraction
3 0
3 years ago
7 2/15+52/3+9 13/15 a. 20 2/3 B.21 10/15 C.21 2/3 D.22 2/3 pls do i will mark brainlessness
Andreyy89

Answer:

101/3 or 33 2/3

Step-by-step explanation:

7 2/15=107/15

9 13/15=138/15

107/15+52/3+138/15

107/15+138/15+52/3

245/15+52/3

245/15+260/15

505/15

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8 0
3 years ago
AYO HELP PLEASE THANK YOU
enyata [817]

Answer:

60

Step-by-step explanation:

60* of the circumference would be 60-the total circumference.

5 0
3 years ago
Read 2 more answers
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