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Gekata [30.6K]
3 years ago
14

Suppose you have an isosceles right triangle. what are the measures of the angles of the​ triangle? explain why.

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0
90, 45, 45
a right triangle has an angle 90 degree, and the three angles of a triangle make a sum of 180,
so the other two angles make up the other 90 degree
the right triangle is isosceles, so the other two angles are congruent, of the same degree. Each of them is 45 degree
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Answer:

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Step-by-step explanation:

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Dmitry [639]

Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.

Step-by-step explanation:

The right angle triangle ABC representing the scenario is shown in the attached photo.

Angle A is alternate to the angle of depression, hence, they are the same.

The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.

To determine x, we would apply

the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

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6 0
3 years ago
Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.
Vedmedyk [2.9K]
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
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</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
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(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

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4 0
3 years ago
Find the percent of tip:
r-ruslan [8.4K]
The answer is 14%

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Tip is x%:                             $2.59 is x

Make a proportion:
$18.50 : 100% = $2.59 : x
x = 100% * $2.59 : $18.50
x = 14%
4 0
3 years ago
A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
LenKa [72]
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5y - 10 = -x - 5;
x + 5y - 5 = 0 is the equation of the line.
3 0
3 years ago
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