The angle m∠AFE is 128 degrees.
<h3>How to find angles?</h3>
∠AFB ≅ ∠EFD
∠EFD = 5x + 6
m∠DFC = (19x - 15)°
m∠EFC = (17x + 19)°
m∠AFE = ?
m∠AFB + m ∠EFD + m∠AFE = 180
Therefore,
5x + 6 + 5x + 6 + m∠AFE = 180
5x + 5x + 6 + 6 + m∠AFE = 180
10x + 12 + m∠AFE = 180
10x + m∠AFE = 180 - 12
10x + m∠AFE = 168
m∠AFE = 168 - 10x
m∠EFC = m ∠EFD + m∠DFC
17x + 19 = 5x + 6 + 19x - 15
17x - 5x - 19x = 6 - 15 - 19
-7x = - 28
x = 28 / 7
x = 4
Therefore,
m∠AFE = 168 - 10x
m∠AFE = 168 - 10(4)
m∠AFE = 168 - 40
m∠AFE = 128°
Therefore, the angle m∠AFE = 128°
learn more on angles here: brainly.com/question/13212279
#SPJ1
Given:
grams of fat : 34 grams TO weight of woman : 102 pounds
grams of fat : ? TO weight of woman : 180 pounds
This is a proportion problem: 34 grams to 102 pounds.
We first have to convert a unit of measure to another to maintain uniformity of measure. let us convert pounds to grams:
102 pounds * 453.592 grams / pound = 46,266.384 grams
180 pounds * 453.592 grams / pound = 81,646.560 grams
34 grams to 46,266.384 grams = x grams to 81,646.560 grams
proportion: a:b = c:d where ad = bc
34 grams * 81,646.560 grams = x * 46,266.384 grams
2,775,983.04 grams² = x * 46,266.384 grams
2,775,983.04 grams² ÷ 46,266.384 grams = x
60 grams = x
A woman weighing 180 pounds should eat 60 grams of fat to maintain her weight.
For this question, we can make the number equal to n. Since two less than it is equal to ten, we know that we are dealing with subtraction. In addition, we know that doing something to n makes it equal to 10. And that something is subtracting two from it. that means that the equation that represents this scenario is n - 2 = 10.
The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.
<h3>What is the volume of a cone?</h3>
The volume of the cone is given by;

The volume of a cone with a diameter of 30 feet and a height of 60 feet.
The radius of the cone is;

Substitute all the values in the formula

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.
Learn more about the volume of cone here;
brainly.com/question/3013784
#SPJ2
Answer:
option 2
Step-by-step explanation:
By repeatedly subtracting 360° from the given angle.
1155° - 360° = 795°
795° - 360° = 435°
435° - 360° = 75° ← coterminal angle