Answer:
The measure of angle F is m∠F=130°
Step-by-step explanation:
step 1
Find the measure of angle E
we know that
An isosceles triangle has two equal sides and two equal interior angles
In this problem
DF=EF ----> given problem
so
Triangle DEF is an isosceles triangle
m∠D=m∠E
we have
m∠D=25°
substitute
m∠E=25°
step 2
Find the measure of angle F
we know that
The sum of the measures of the interior angles in a triangle must be equal to 180 degrees
so
m∠D+m∠E+m∠F=180°
substitute the values
25°+25°+m∠F=180°
50°+m∠F=180°
m∠F=180°-50°
m∠F=130°
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
20/6 because 20 x 3 = 6 x 10 = 60. 309 is equivalent to 10/3 because 30 x 3 = 9 x 10 = 90.
40/12 is equivalent to 10/3 because 40 x 3 = 12 x 10 = 120.
Answer:
$131.88
hope this helps
Step-by-step explanation: