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ivanzaharov [21]
3 years ago
10

Plz help...........................................................................​

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

¿Es esta una opción múltiple o es una pregunta explicativa? Lo siento estoy confundido.

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Which of the following are remote interior angles of <6? check all that apply
vlada-n [284]

Answer:

C. <3, E. <1

Step-by-step explanation:

A triangle has 3 vertices, so it has exactly 3 interior angles, one at each vertex.

A triangle has 2 exterior angles at each vertex, so a triangle has 6 exterior angles. Each exterior angle is adjacent to an interior angle. The interior angles that are not adjacent to an exterior angle are that exterior angle's remote interior angles.

<6 is an exterior angle of the triangle. <5 is the other exterior angle at that vertex. <2 is an interior angle of the triangle and is adjacent to <6, so <2 is not a remote interior angle to <6.

The other two interior angles of the triangle are <1 and <3.

<1 and <3 are interior angles that are not adjacent to <6, so they are the remote interior angles to <6.

Answer: <1, <3

8 0
3 years ago
A point on the terminal side of an angle theta is given. Find the exact value of each of the six trigonometric functions of thet
statuscvo [17]

Answer:

Step-by-step explanation:

Plot that point in the x/y coordinate plane to see that it sits in the third quadrant.  From the point, draw a line to the origin, constructing a right triangle.  The side adjacent to the angle is -2, the side across from the angle is -5, so we need to find the length of the hypotenuse using Pythagorean's Theorem:

c^2=(-5)^2+(-2)^2 and

c^2=25+4 so

c=\sqrt{29}

That means that

sin\theta=-\frac{5}{\sqrt{29} }=-\frac{5\sqrt{29} }{29} and

csc\theta=-\frac{\sqrt{29} }{5}

That means that

cos\theta=-\frac{2}{\sqrt{29} }=-\frac{2\sqrt{29} }{29} and

sec\theta=-\frac{\sqrt{29} }{2}

It also means that

tan\theta=\frac{5}{2} and

cot\theta=\frac{2}{5}

4 0
4 years ago
What is the area of a triangle that has a height of 6 feet and a base length of 7 feet?
frez [133]

Answer:

area = 21 feet^2

Step-by-step explanation:

Area of a triangle is 1/2(base*height)

1/2(6*7) = area

1/2(42) = area

area = 21 feet^2

6 0
3 years ago
Read 2 more answers
How do you solve 5(-3y-1)-(6-5y) if y=-6
Ksenya-84 [330]
5(18-1)-(6+30)
85-36 = 49
Your answer if 49
7 0
4 years ago
Finally, you make an approximately circular yard using 80 ft of fence. What is the area of the yard? (Hint: First find the radiu
Pavel [41]
Since the circumference is 80, you know that the equation used was:
\pi d = 80
Divide by pi and you'd get d = 25.465
Divide that by 2 to get your radius.
25.465 / 2 = 12.723 = r

The area formula for a circle is \pi r^2
So, \pi (12.723)^2 = 508.544 square feet
6 0
3 years ago
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