Answer:
An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.
Step-by-step explanation:
Answer:
The answer is D - 382
Step-by-step explanation:
The volume of a sphere can be calculated using this simple formula:
V = 4/3 x 3.14(pi) x r cubed(to the third)
So, V = 4/3 x 3.14 x 4.5 cubed
V = approximately 382
Answer:
a) Graph are attached ,Red line shows the function y=3x-2 while blue line represents the function y=-5
b)(x,y)=(-1,-5)
Step-by-step explanation:
b)To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
c)Given that
y=-5
and y=3x-2
compare the right hand side of the above two equation and solve for x
3x-2=-5
or 3x=-3
or x=-1
so the solution to the given system of linear equations is =(-1,-5)
Answer:
1/5
Step-by-step explanation:
That little weird backwards E covers all the elements within the box in the diagram. There are x(x - 2) paintings from the 20th century, 2x + 8 British paintings, x paintings that are both British and come from the 29th century, and 10 that are neither of these. These should all add up to 60:
x(x - 2) + (2x + 8) + x + 10 = 60
x² - 2x + 3x + 18 = 60
x² + x - 42 = 0
(x + 7)(x - 6) = 0
x = -7 or x = 6
Obviously, we can’t have a negative number of paintings, so x = 6.
Out of the paintings, we choose one that is from the 20th century, and there are:
x + x(x - 2) = 6 + 6 * (6 - 2) = 6 + 24 = 30 paintings from the 20th century
x of these are also British, so since x = 6, the probability we’re looking for is:
6/30 = 1/5
The answer is 1/5.
Answer:
The slope is -1/2
Step-by-step explanation:
I used the rise over run method