Answer:
m∠b=20°
m∠c=160°
Step-by-step explanation:
∠c and the 160° angle are vertical, so they are congruent.
m∠c=160°
∠c and ∠b are supplementary, so their sum is 180°.
So, m∠b=20°.
All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball,
1 answer:
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Answer:
Step-by-step explanation:
In any square with side length , the diagonal of the square is equal to
. Since the side length of this square is
, the diagonal is equal to
.
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states , where
is the hypotenuse of the triangle, and
and
are the two legs of the triangle.
In this question, both legs are equal to , and we're solving for the diagonal, which is the hypotenuse in this case:
Answer:
Part 1)
Part 2) The slope is undefined
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Part 1
we have
Substitute the values
----> is a horizontal line (parallel to x-axis)
Part 2
we have
Substitute the values
----> is a vertical line (parallel to y-axis)
The slope is undefined