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Natalija [7]
3 years ago
11

I need help ASAPPPPPPPPPPPP

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

k = 13

Step-by-step explanation:

1. A straight angle is equal to 180 degrees, and a right angle is 90 degrees. With this information and the angles of (4k-7) and (3k+6), we can build an equation of:

  • 4k-7+90+3k+6=180

2. (Solving)

Step 1: Combine like terms.

  • 4k - 7 + 90 + 3k + 6 = 180
  • (4k+3k) + (-7+90+6) = 180
  • 7k + 89 = 180

Step 2: Subtract 89 from both sides.

  • 7k + 89 - 89 = 180 - 89
  • 7k = 91

Step 3: Divide both sides by 7.

  • \frac{7k}{7} = \frac{91}{7}
  • k = 13
Alik [6]3 years ago
6 0

Answer:

The answer most probably is 13.

Step-by-step explanation:

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Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,
alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

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a = 20 (approximated)

8 0
3 years ago
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