In a right triangle, the measure of one acute angle is 30 less than twice the measure of the other acute angle. Find the measure of each angle.
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The sum of the 2 acute angles is 90 degrees.
x + y = 90
x = 2y-30
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Substitute for "x" and solve for "y":
2y-30 +y = 90
3y = 120
y = 40
x = 90-y
x = 90-40
x = 50
If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the y-axis, it has an equation of (x - h)^2<span> = 4p(y - k)</span><span>, where the </span>focus<span> is (h, k+p) and the </span>directrix<span> is y = k - p. So, we need to determine the values from the equation.
</span><span>y=1/28(x-4)^2-5
</span>(x-4)^2 = 28(y+5)<span>
(h,k) = (4, -5)
p = 7
focus= </span>(h, k+p) = 4,2
directrix = y = k - p = -12
Hope this answers the question.
Answer:
<h3><em>
isosceles</em></h3>
An isosceles triangle is a triangle that has two sides of equal length.
An acute triangle is a triangle with three acute angles (less than 90°).
A scalene triangle has all its sides of different lengths. Equivalently, it has all angles of different measure.
An equilateral triangle is a triangle in which all three sides are equal.
Answer:
2.67
Step-by-step explanation:
