Answer:
∠ DFE = 15°
Step-by-step explanation:
The inscribed angle DFE is half the measure of its intercepted arc, that is
∠ DFE =
DE =
× 30° = 15°
I am doing with Question Number 2
Let the two numbers be 'x' and 'y'.
According to the question, the product of two numbers is 14.

So, xy=14 (Equation 1)
Now, one of the numbers is 3 ½ times the other.
So, 
(Equation 2)
Substituting the value of 'x' from equation 2 in equation 1, we get



So, y= 2 and -2
So,
and 
x=7 and -7
Numbers are 2,7 and -2,-7.
Sum of numbers 2 and 7 = 9
Sum of numbers -2 and -7 = -9.
Answer: 6cups of flour
Step-by-step explanation:
3cups of sugar to 2cups of flour
9cups of sugar to xcups of flour
Let sugar rep s
Flour rep f
So we have;
3s=2f
9s= xf
Cross multiply
3s×xf=2f×9s
Xf=2f×9s/3s
Xf=6f
Therefore, 9cups of sugar will be to 6cups of flour
9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
Answer:
552
Step-by-step explanation:
46 runs per year times 12 years= 552