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Flura [38]
3 years ago
9

Please help this is the last question!

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

13 levels

Step-by-step explanation:

Direct variation can be expressed using the formula:

y = kx, where 'k' is the constant of variation

Since Michael can move up 5 levels in 55 minutes:

n = km, where 'n' is the number of levels and 'm' is the number of minutes:

5 = 55k

k = 1/11

To find the number of levels after 143 minutes:

n = (1/11)(143)

n = 13 levels

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Find the degree measure of each angle in the triangle.
Alex777 [14]

Answer:

  • ∠R = 56°
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Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

  • 90°
  • (2x + 38)°
  • (5x - 11)°

Solving according to <u>angle sum property</u>,

Sum of all angles in a triangle is 180°

\longrightarrow 90° + (2x + 38)° + (5x - 11)° = 180°

\longrightarrow 117° + 7x = 180°

\longrightarrow 7x = 180° - 117°

\longrightarrow 7x = 63°

\longrightarrow x = 9

Angles =

\longrightarrow 2(9) + 38

\longrightarrow 56°

\longrightarrow 5(9) - 11

\longrightarrow 34°

  • ∠R = 56°
  • ∠Q = 90°
  • ∠S = 34°

The angles are 56°, 90° and 34°.

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