180k views
5 votes
can someone please help me with numbers 11 12 13 and 14 please , and can you please explain how you got the answer?​

can someone please help me with numbers 11 12 13 and 14 please , and can you please-example-1
User Sdgd
by
8.5k points

1 Answer

5 votes

Answer:

11) x = 4

12) x = 12

13) A = 45

14) A = 40

Explanation:

All triangle angles must add up to 180 degrees. If they do not, the triangle is not considered a triangle.

So for triangle 11, solve using the equation: (16x + 4) + 47 + 65 = 180. First add 47 + 65 together to get 112. Subtract 112 from both sides to get (16x + 4) = 68. Subtract 4 from both sides to get 16x = 64. Divide 16 from both sides to get x = 4. Use the same technique for the other triangle.

For triangle 12, solve using the equation: (3x + 9) + 60 + 75 = 180. Add 60 + 75 to get 135. Subtract 135 from both sides to get (3x + 9) = 45. Subtract 9 from both sides to get 3x = 36. Divide 3 from both sides to get x = 12.

For triangle 13, solve using the equation: (62 + x) + (x + 51) + 79 = 180. For this equation, add the common variable first to get 113 + 2x + 79 = 180. You can still further simplify by adding 113 + 79 to get 192. The new equation is 192 + 2x = 180. Subtract 192 from both sides to get 2x = -12. Divide 2 from both sides to get x = -6. Now, to solve for angle A, insert the x value, -6, into Angle A's expression: x + 51. The x value would change the expression into -6 + 51. Solve to get 45. Use this technique for the other triangle as well.

For triangle 14, solve using the equation: 6x + 4x + 80 = 180. First add common variables to get 10x + 80 = 180. Subtract 80 from both sides to get 10x = 100. Divide both sides by 10 to get x = 10. To solve for Angle A, insert the x value, 10, in place of x. This turns the expression 4x into 4(10). Solve to get 40.

Hope it helps!

User Kanya
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.