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ehidna [41]
3 years ago
10

In Triangle A B C, what is the value of x? Triangle A B C. Angle A is 112 degrees. Exterior angle to angle B is 2 x degrees and

the exterior angle to angle C is (2 x + 12) degrees.
Mathematics
2 answers:
ozzi3 years ago
6 0

Answer:

70º

Step-by-step explanation:

i took the test

Stolb23 [73]3 years ago
5 0

Answer:

70°

Step-by-step explanation:

∠A =112°,

Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)

Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x

∠A + ∠B + ∠C = 180 (sum o angles in a triangle)

112 + 180 - 2x + 168 - 2x = 180

460 - 4x = 180

4x = 460 - 180 = 280

x = 280/4 = 70

x = 70°

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35 sandwiches

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3 0
3 years ago
What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

\frac{3}{x}  +  \frac{5}{ {x}^{2}  }  \\  =  \frac{3x}{ {x}^{2} }   +  \frac{5}{ {x}^{2} }  \\  =  \frac{3x + 5}{ {x}^{2} }

so as you got it:

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4 0
3 years ago
A + c = 405 <br> 12a + 5c = $3,590
SOVA2 [1]

Answer:

a=223.57

c=181.43

Step-by-step explanation:

a=405-c

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3 0
2 years ago
Clem Shirestock is at a dock on a bank of a straight river that is 1 mile wide and wants toreach the barge toll gate on the othe
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The total time taken by Clem Shirestock to reach the gate is given by the  equation 7 = 4√(x²+1)+ 8 - 2 x

Let the point P is at a distance of x miles from the toll gate.

Hence when Clem reaches the point P he rows in the form of right angled triangle. and we know that the width of the river is 1 mile.

So by using Pythagoras Theorem we can infer that the distance covered by Clem is the hypotenuse which is equal to √(x²+1).

Time taken to complete this route is  4√(x²+1) .

Now  he has only to walk 4-x distance along the river.

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Hence we can conclude that the total time is 7 hours. so the equation to represent this is 7 = 4√(x²+1)+ 8 - 2 x .

to learn more about time visit:

brainly.com/question/28238258

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