Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
1 answer:
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.
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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
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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
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The number of cookies and trays are illustrations of greatest common factors.
- The number of trays is 8
- 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
The given parameters are:
<u>(a) The number of trays</u>
To do this, we simply calculate the greatest common factor of 48, 64 and 120
Factorize the numbers, as follows:
So, the GCF is:
Hence, the number of tray is 8
<u>(b) The number of each type of cookie</u>
We have
Divide each cookie by the number of trays
So, we have:
Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
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