In every triangle,if one of those three angles has his measure more than 90°,then the triangle is optuse.
If all three angles are 60°,it means the triangle equiangular.
If one of those three angles is equal to 90°,the triangle is right.
If all the angles of the triangle have their measure less than 90°,the triangle is acute.
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Your triangle has an angle bigger than 90°,it means the triangle is optuse.
The fact that it can turn its head 180 degrees is just extra information. They tell us that it is 10.5 cm long. What they're asking for is the length in a mixed number, so 10.5 as a mixed number.
Simplify 5/10 to 1/2
find the LCD of both fractions and that would be 18
make the denominators the same as the LCD
Simplify, now denominators are equal
join the denominators
simplify it now (23/-18)
convert to mixed fraction
Answer: -1 5/18.
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)
Answer: 3.82 miles
Step-by-step explanation:
According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.
So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire 
, which is also the hypotenuse.
Finally:
