Answer:
m<F = 79 degrees
Step-by-step explanation:
As per the given information;
m<E = 22, the triangle EDF (the one that is given in the picture) is isosceles (meaning that the sides are congruent).
In an isosceles triangle, (a triangle where the sides are congruent) the base angles (the angles opposite to the two congruent sides) are also congruent. One should also know, that in an isosceles triangle, like in any triangle, the sum of the measures of the angles equals 180 degrees.
Using this we can say that
m<D = m<F
To keep it simple while solving the problem, let's say that they have a value of x degrees.
So,
m<E + m<D + m<F =180
Subsitute
22 + x + x = 180
Simplify and inverse operations
22 + x + x = 180
-22 -22
2x = 158
/2 /2
x = 79
So the measure of <D and <F is 79 degrees.
Answer:
All 3 angles are the same, it is simply a dilation. the size is the only difference.
Step-by-step explanation:
Hope this helps with your questions :)
Answer:
4.19 cubic feet
Step-by-step explanation:
Answer:
The volume of the tumor experimented a decrease of 54.34 percent.
Step-by-step explanation:
Let suppose that tumor has an spherical geometry, whose volume (
) is calculated by:
Where 
is the radius of the tumor.
The percentage decrease in the volume of the tumor (
) is expressed by:
Where:
- Absolute decrease in the volume of the tumor.
- Initial volume of the tumor.
The absolute decrease in the volume of the tumor is:
The percentage decrease is finally simplified:
![\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7BR_%7Bf%7D%7D%7BR_%7Bo%7D%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
Given that 
and 
, the percentage decrease in the volume of tumor is:
![\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7B0.77%5Ccdot%20R%7D%7BR%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
The volume of the tumor experimented a decrease of 54.34 percent.
