Answer:
A 90
Step-by-step explanation:
multiple ways to prove this.
e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.
another way
imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.
the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.
that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).
the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.
Answer:
X= (7;-2)
Step-by-step explanation:
X2+5X-14
(X-7)(X+2)
X= 7;-2
ANSWER
The linear equation is: y = 80x + 65
Te cost for 40 football jerseys: $3265
EXPLANATION
Let 'x' be the number of jerseys and 'y' the cost of x jerseys.
Each jersey costs $80, so the cost of x jerseys is 80x. There's also an extra fee for procesing of $65, which is the same no matter how many jerseys they buy.
Therefore, the cost 'y' of x jerseys is:
Now we want to know the cost of 40 football jerseys, so we just have to replace x by 40 and solve:
Answer: 24000
Step-by-step explanation:
Divide the 22 million by the 900 texts a month to get 24,444 then round to 24,000
Let b and h represent the length of the side of the base and the slant height, respectively. Then the total surface area is
A = b² + 4*(1/2)bh
A = b² +2bh
Substituting the given numbers, you have
336 = 12² +2·12·h
192 = 24h . . . . . . . . . subtract 12² = 144
8 = h . . . . . . . . . . . . . divide by 24
The slant height is 8 inches.
