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gavmur [86]
3 years ago
6

two angles of a triangle measure 36° and 102°. one of the sides formed by the 36° angle is 9 inches long. determine whether the

given conditions determine a unique triangle of more than one triangle. justify your answers.
Mathematics
1 answer:
Furkat [3]3 years ago
4 0
Yes Because there aremultiple place for the 102 degrees angle
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Please Help. 25 points. <br>​
vodomira [7]

Answer:

\boxed{x = 7, y = 9, z = 68}

Step-by-step explanation:

We must develop three equations in three unknowns.

I will use these three:

\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}

\begin{array}{lrcll}& 8(7) + 13y & = & 173 & \text{Substituted (7) into (4)} \\& 56 + 13y & = & 173 & \text{Simplified} \\& 13y & = & 117 & \text{Subtracted 56 from each side} \\(8)& y & =& \mathbf{9}&\text{Divided each side by 13}\\& 8(7) + 5(9) + z & = & 169 & \text{Substituted (8) and (7) into (6)} \\& 56 + 45 + z& = & 169 & \text{Simplified} \\& 101 + z& = & 169 & \text{Simplified} \\&z& = & \mathbf{68} & \text{Subtracted 101 from each side}\\\end{array}

\boxed{\mathbf{ x = 7, y = 9, z = 68}}

4 0
3 years ago
Which statement is true?
Sloan [31]
I believe the last one about right triangles. That’s why Pythagorean Theorem works.
3 0
3 years ago
Read 2 more answers
Given f(x) = 18x + 8, find x when f(x)= 14.
Naddika [18.5K]

The answer is 0.3 (1/3.)

Proof?

f(0.3) = 18(0.3) + 8

f(0.3) = 6 + 8

f(0.3) = 14

14 = 14

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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Anyone completes all of this gets extra points
aliya0001 [1]

Answer: can you take a closer picture

Step-by-step explanation:

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The graph shows two lines. Help Plsssss!!!
Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

If two lines coincide then the system of linear equations has infinitely many solutions.

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3 years ago
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