Please help!! Thank you!
1 answer:
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Answer:
x=17
Step-by-step explanation:
See those same little "triangles" on each right end of the horizontal lines? That means that the horizontal lines are parallel. And the vertical line that passes through both of them is called a transversal. Whenever we have that situation - where parallel lines are being intersected by a transversal - we can then know which angles are equal to each other using some postulates.
The angles with the given equations shown are corresponding angles. We know this because they are in the same matching corners created by the intersections. And by using the Corresponding Angles Postulate, which states that corresponding angles are congruent (or equal) we then know that 5x-25 and 3x+9 must be equal to each other, too.
From there, we can set up an equation to find x. Just set them equal to each other like so and solve:
Therefore, x = 17. Please don't hesitate to ask any questions!
From the graph, angelica's house is represented by the point (4, 3) and the gas station is represented by the point (10, 8).
The distance between two given points in the xy-plane is given by
where:
Thus
Therefore, the distance of the gas station from Angelica's house is 7.81 miles.
The distance between two given points in the xy-plane is given by
where:
Thus
Therefore, the distance of the gas station from Angelica's house is 7.81 miles.