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lys-0071 [83]
3 years ago
12

10 POINTS A QUESTION!

Mathematics
2 answers:
Arlecino [84]3 years ago
6 0
For the first triangle the sum of angles in any given triangle is equal to 180 degrees.

The equation for the first triangle would be: 60+80+x+51= 180

Solving it we get: 191+x=180
x=-11.

The second triangle’s equation is: 90+45+52+x= 180

Solving it we get: 187+x=180
x=-7

The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.

Solving it we get: 12.2 (rounding)
x=about 12.2

For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)

Solving it we get: 11x=110
x=10.

Hope this helps! ( and if you can please give brainliest, it would mean a lot!)
oksian1 [2.3K]3 years ago
5 0

Answer:

  • 4) x = -11
  • 5) x = -7
  • 6) x = 12
  • 7) x = 10

Step-by-step explanation:

4.

(x + 51) + 60 + 80 = 180

x + 51 + 60 + 80 = 180

x + 191 = 180

x = 180 - 191

x = -11

5.

45 + (52 + x) + 90 = 180

45 + 52 + x + 90 = 180

187 + x = 180

x = 180 - 187

x = -7

6.

53 + (4 + 7x) + 39 = 180

53 + 4 + 7x + 39 = 180

96 + 7x = 180

7x = 180 - 96

7x = 84

x =  \frac{84}{7}  \\  \\ x = 12

7.

(6x - 5) + 5x + 75 = 180

6x - 5 + 5x + 75 = 180

11x + 70 = 180

11x = 180 - 70

11x = 110

x =  \frac{110}{11}  \\  \\  x = 10

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The simple interest on a sum of money for 2 years at 12% per annum is rupees 1380
julia-pushkina [17]

Answer:

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Step-by-step explanation:

Simple interest = principal. * rate * time

Principal (p) = sum of money

1380 = p * 0.12 * 2

1380 = 0.24p

p = 1380 / 0.24

p = 5750 rupees.

The compound interest :

A = P(1 + r/n)^nt

A = final amount

n = number of compounding times per period

t = period

A = 5750(1 + 0.12/2)^2*1

A = 5750(1 + 0.06)^2

A = 5750(1.06)^2

A = 5750 * 1.1236

A = 6460.7

Hence, compound interest is :

Final amount - principal

6460.7 - 5750

= 710.7 rupees

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