Answer:
114
Step-by-step explanation:
since the total degrees of ANY triangle is 180 degrees, you just simply do 180-38-28 and you would get 114!
Answer:
53/36
Step-by-step explanation:
56/36 is already in it's simplest form
Answer: 
Step-by-step explanation:
Given
The height of hill is 120 ft and the angle of elevation is 
Suppose the length of the road is 
From the figure, we can write
Thus, the length of the road is
Set up a proportion to describe this relationship. So, for every 2 cats, there is five dogs. Therefore, “c” can represent your unknown quantity for every 35 animals.
2/5 = c/35
Cross multiply, multiplying the numerator/top number of the first fraction/ratio, by the denominator/bottom number in the second fraction/ratio.
2 • 35 = 70
Then, Cross multiply, multiplying the numerator/top number of the second fraction/ratio, by the denominator/bottom number in the first fraction/ratio.
C • 5 = 5c
So, now the problem shows both products as equal to each other.
70 = 5c
To solve for the variable, “c”, you must isolate the variable, by performing the opposite/inverse operation of multiplication, since that will undo the multiplication, for the variable to stand alone. Therefore, divide both sides of the equation by 5.
70/5 = 5c/5
14 = c
So, there is 14 cats out of 35 animals.
Answer:
Angle DBF = 92 degrees
Step-by-step explanation:
From the information given, we can see that we can use the triangle mid segment theorem and conclude that all 4 small triangles are congruent to each other. Therefore, all corresponding angles are also congruent to each other. Since DBF and EFC are corresponding angles and we already know that EFC is 92 degrees, DBF must also be 92 degrees.
