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zhuklara [117]
2 years ago
6

Find the degree measure of each angle in the triangle.

Mathematics
1 answer:
Alex777 [14]2 years ago
4 0

Answer:

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

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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2 years ago
john and ted have a reputation of being late to events. If john is late 20% of the time and ted is late 40% of the time what is
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Answer:

The probability that they will both be on time is 12/25.

Step-by-step explanation:

John is late 20% of the time.

So, he is prompt 80% of the time.

Ted is late 40% of the time.

So, he is prompt 60% of the time.

Since, both the events are independent,

p(John be on time ∩ Ted be on time) = p(John be on time) × p(Ted be on time)

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= 0.48 or 48%

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Hence, the probability that they will both be on time is 12/25.

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3 years ago
Divide using synthetic division. ( x^4-12x^2-9)/(x+3)
Firdavs [7]

Answer:

x^3 - 3x^2 - 3x + 9 + (-36/(x+3))

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x^3 - 3x^2 - 3x + 9 - (36/(x+3))

Step-by-step explanation:

First set the divisor equal to 0:

x + 3 = 0

Subtract 3 from both sides

x = -3

This is what you'll divide the dividend by in synthetic division.

Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:

x^4 + 0x^3 - 12x^2 + 0x -9

Coefficents: 1. 0.  -12. 0 -9.

Please see the image for the next steps.

The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)

-36/(x+3)

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
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Answer:

3/11

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Divide both the numerator and denominator by 2.

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Someone please help me. Thanks!
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The answer is c because you need to multiply both numbers inside the parentheses by the number on the outside
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2 years ago
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