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sdas [7]
4 years ago
11

Classify the following triangle. Check all that apply

Mathematics
2 answers:
Luda [366]4 years ago
6 0

Answer:

F. right angle is correct

Kisachek [45]4 years ago
4 0

Answer: The correct choices are D and F.

Step-by-step explanation:

There are two classifications of triangles shown.

Any triangle can only be two.

The first classification depends on the triangles' angles:

  1. Acute triangles are triangles with three angles under 90 degrees.
  2. Right triangles are triangles with a right angle.
  3. Obtuse triangles are triangles with an obtuse angle.

The second classification depends on the triangles' sides:

  1. Equilateral triangles are triangles with three equal side lengths.
  2. Isosceles triangles are triangles with two equal side lengths.
  3. Scalene triangles are triangles with no equal side lengths.

The triangle given has angles of 36, 54, and 90 degrees. 90 degrees is a right angle, so the triangle is a right triangle.

The triangle given has side lengths of 7, 5.1, and 8.66. No side lengths are equal, so the triangle is a scalene triangle.

The correct choices are D and F.

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Landen spent L hours at the beach last weekend. Matéo spent 15% fewer hours at the beach than Landen did.
andre [41]

Answer:

L(1-0.15)

L-(15/100)L

Step-by-step explanation:

we  know that

100%-15%=85%

85%=85/100=0.85

so

The number of hours that Mateo spent at the beach last week is equal to the hours that landen spent at the beach (L) multiplied by 0.85

The linear equation that represent this situation is

0.85L  

<u><em>Equivalent expressions are</em></u>

1) L(1-0.15)

Because

Applying distributive property

L(1-0.15)=L-0.15L

Combine like terms

L-0.15L=0.85L

2) L-(15/100)L

because

15/100=0.15

substitute

L-(15/100)L=L-(0.15)L=0.85L

8 0
3 years ago
The endpoints of a diameter of a circle are A(2,1) and B(5,5). Find the area of the circle in terms of pi.
Tcecarenko [31]

Answer:

The area of the circle is A=6.25\pi\ units^{2}

Step-by-step explanation:

step 1

Find the diameter of circle

we know that

The diameter of the circle is equal to the distance AB

the formula to calculate the distance between two points is equal to

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

substitute the values

AB=\sqrt{(5-1)^{2}+(5-2)^{2}}

AB=\sqrt{(4)^{2}+(3)^{2}}

AB=\sqrt{25}

AB=5\ units

therefore

the diameter of the circle is

D=5\ units  

step 2

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

r=5/2=2.5\ units  ----> the radius is half the diameter

substitute

A=\pi (2.5)^{2}

A=6.25\pi\ units^{2}

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