9514 1404 393
Answer:
x = 20, or 125
Step-by-step explanation:
We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.
__
The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.
x° = 90° -70°
x = 20
__
If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...
x° = 180° -(180° -70°)/2 = 90° +70°/2
x = 125
She made her mistake at the first step. To simplify a radical, you would find two numbers that multiply by each other to get your original number (under the radical)
and have one of the number be a perfect square.
Her reasoning is wrong because 10*10 is not
. Had she been correct, her answer should have been able to be squared to equal
In other words, she should have done
(We used 25 because 25 is a perfect square, 5*5=25).
:)
3x + 7y = 14
Subtract 3x from both sides
7y = -3x + 14
Slope is equal to -3.
The expression (5×20-3)÷7 can be used to find the number of groups.
False
The expression (4×20-3)÷7 can be used to find the number of groups.
True
There will be 11 tour groups.
True
There will be 77 tour groups.
False
Answer: 121.5 pi in^3 or 381.7 in^3
Step-by-step explanation:
Volume of a cylinder = pi r^2(h)
Radius = 4.5 in, Height = 6 in
pi (4.5)^2(6)
pi(20.25)(6)
121.5 pi in^3 or 381.7 in^3
