Answer: True

One angle of a right triangle = 90°
Let x = the acute angle of one angle.
Let y = the angle of the other angle.

Because the sum of angles in a triangle is 180°,
x + y + 90 = 180
x + y = 90
y = 90 - x

Therefore the angles for each of the two triangles are
x, 90° - x, 90°.

The two triangles are therefore similar because of AAA (Angle, Angle, Angle).

5 0

3 years ago

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Mike purchased 1.35 pounds of steak for $13.50.

AlladinOne [14]

Answer:

y=10x

Step-by-step explanation:

it costs 10 dollars for one pound of steak.

3 0

2 years ago

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Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth

bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

$|AB| = \sqrt{ ({10 + 2})^{2} + ({ - 1 - 5})^{2} } \\ = \sqrt{ {12}^{2} + ({ - 6})^{2} } \\ = \sqrt{144 + 36} \: \: \: \: \: \: \: \\ = \sqrt{180} \\ = 6 \sqrt{5} \: \: \\ =13.416407$

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0

2 years ago

NO LINKS!!!! Find the equation of the circle below

inysia [295]

Answer:

$(x+3)^2+(y-2)^2=9$

Step-by-step explanation:

<u>Equation of a circle</u>

$(x-a)^2+(y-b)^2=r^2$

where:

(a, b) is the center
r is the radius

From inspection of the diagram, the center of the circle <em>appears</em> to be at point (-3, 2), although this is not very clear. Therefore, a = -3 and b = 2.

Substitute these values into the general form of the equation of a circle:

$\implies (x-(-3))^2+(y-2)^2=r^2$

$\implies (x+3)^2+(y-2)^2=r^2$

Again, from inspection of the diagram, the <u>maximum vertical point</u> of the circle appears to be at y = 5. Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:

⇒ radius (r) = 5 - 2 = 3

Substitute the found value of r into the equation:

$\implies (x+3)^2+(y-2)^2=3^2$

Therefore, the final equation of the given circle is:

$\implies (x+3)^2+(y-2)^2=9$

7 0

1 year ago

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