Please help me with this
1 answer:
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Answer: x = 30°
Concept:
Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.
An <u>isosceles triangle</u> is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.
The <u>vertical angle theorem</u> states that two vertical angles formed when two lines intersect each other are always equal to each other.
Solve:
<u>Find the other base angle of the isosceles triangle.</u>
Since there are two equal sides, we know that this is an isosceles triangle.
Since the definition said that the base angles are equal, the other base angle would also be x.
<u>Find the value of x</u>
According to the vertical angle theorem, two vertical angles formed by intersection are equal.
Just as angle x and 30°, are vertical angles formed by intersection, therefore,
Hope this helps!! :)
Please let me know if you have any questions
Answer:
47.55 miles
Step-by-step explanation:
So for this problem you would just add the distance between the art store and the bank to the distance from the bank to the office supply store, which is 42 miles. Than you would use the Pythagorean Theorem so you would do and that should equal the square of our answers.
is 1764 and
is 497.29 and when you add them together you get 2,261.29. Now that we know the square of our answer we will just take the square root of it which is 47.55 miles and that is our final answer