Answer:
45
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
2x - 12 + 2x + 17 + 9x - 7 = 180 add like terms
13x - 2 = 180 add 2 to both sides
13x = 182 divide both side by 13
x = 14
m<X = 2x + 17 replace x with 14
2*14 + 17 = 45
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▹ Answer
<em>(-1, 3)</em>
▹ Step-by-Step Explanation
y - 4x = 7
2y + 4x = 2
<u>Substitute</u>
y - (2 - 2y) = 7
<u>Solve</u>
y = 3
<u>Substitute</u>
4x = 2 - 2 * 3
<u>Solve</u>
x = -1
<u>Final Answer</u>
(x, y) = (-1, 3)
Hope this helps!
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Brainliest is greatly appreciated!
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Answer:
<em> The distance from your eyes to the stage is 8.85 ft</em>
Step-by-step explanation:
Your distance to the stage is 6 feet
Your eyes are 6.5 feet tall
You need to find the distance of your eyes towards the stage.
This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.
<u>Observe the attached image.</u>
Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.
So, using the Pythagorean theorem we have:

Where

therefore:

The answer to the question is 21/3