Answer:
Step-by-step explanation:
The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2
Given that the softball diamond is square in shape.
Let the side of the square i.e. distance between consecutive bases is x
The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.
Using the Pythagorean theorem we have:
x² +x²= c²,
where c is the distance from the 1st base to the 3rd base.
Combining similar terms gives us
2x²=c²
Taking the square root of both sides we have
√2x²= √c²
⇒x√2=c
⇒c=x√2
This is the expression for the distance from the 1st base to the 3rd base in terms of side length.
Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.
Learn more about the Pythagorean theorem
here: brainly.com/question/231802
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Answer:
m∡A = 14
m∡B = 76
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees.
So 3x -7 + 11x - 1 = 90, which we can solve.
14x - 8 = 90
14x = 98
x = 98/14 = 7
with the knowledge of x=7, we can find the angles:
m∡A = 3·7 - 7 = 14
m∡B = 11·7 - 1 = 76
Supplementary angles are angles that add up to 180 degrees, so the next assignment is very comparable, try it!
B and A
That’s the answer bro trust xx
If two tangent segments to a circle share a
common endpoint outside a circle, then the two segments are congruent. This
is according to the intersection of two tangent theorem. The theorem states
that given a circle, if X is any point
within outside the circle and if Y and Z are points such that XY and XZ are
tangents to the circle, then XY is equal to XZ.
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