The answer is 7/10. Do you need help with any other problems?
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Answer: 42</h3>
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Work Shown:
The two angle bisectors intersect to form the incenter. The incenter is the center of the inscribed circle (aka "incircle"). This circle is the largest possible, but is completely inside the triangle. No portions of the circle spill outside the triangle.
The two segments marked with lengths x+8 and 2x-5 are two radii of the incircle. This is because the sides of the triangle are tangent to the incircle.
Since all radii are the same length, we can set those expressions equal to one another and solve for x
x+8 = 2x-5
x-2x = -5-8
-x = -13
x = 13
This x value then leads to
- x+8 = 13+8 = 21
- 2x-5 = 2*13-5 = 26-5 = 21
Both radii are 21 units long, which helps confirm we have the proper x value. We double the length of the radius ot get the diameter.
So the diameter of the incircle is 2*21 = 42 units long.
Answer:
The correct answers are A, C and D.
Step-by-step explanation:
Given the equation 4x - 5y = 24, we substitute the coordinates of the given points to determine whether the equation is then true or not true.
For example, if we focus on point B: (6, 0), x = 6 and y = 0 and the equation becomes 4(6) - 5(0) = 24, which is TRUE.
Doing the same thing with A: (-9, -12), we get 4(-9) - 5(-12) = 24, which is also TRUE.
Check out C: (4, 8): 4(4) - 5(8) = 24. This is FALSE.
Check out D: (1, -4): 4(1) - 5(-4) = 24. This is TRUE.
The correct answers are A, C and D.
Answer:
Tina ate 3/4 of the whole pan of cornbread.
Step-by-step explanation:
Let the amount of cornbread in the initial pan be <em>x.</em>
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After the dinner party, Tina has 1/2 of x left; That is 1/2x
If she eats 1/2 of the leftover, that will be 1/2 of 1/2x that is eaten. This will be 1/4x that is eaten.
To find the potion of the whole pan that Tina ate, we will add the potion she ate during the party to the portion of the leftover she ate the next night.
That will be 1/2x + 1/4x =3/4x
Therefore, Tina ate 3/4 of the whole pan of cornbread.
Answer: C
Step-by-step explanation:
The area of a circle is ∏r2- (Pi)(Radius)-squared
The Answer is C