We can name an angle either by naming its vertex or by three letters , keeping the letter of vertex in between.
so here vertex is F
we can name it as ∠EFG, ∠F , ∠GFE
This strikes out the option B that is ∠G
so option B is the answer
Answer: Mean= 82.8
Median= 95
Mode=100
Step-by-step explanation:
Mean is the average of the scores
Mean= 95+100+65+95+75+98+100+55+100+45 =828/10= 82.8
To get the median, we rearrange the numbers in either ascending or descending order.
45,55,65,75,95,95,98,100,100,100
Median= 95
Mode is the number that occurs most which is 100
Answer:
Width of the rectangular banner is
ft.
Step-by-step explanation:
Area of the rectangular banner =
square feet
=
square feet
Area of rectangle is given by,
Area = Length × Width
Length of the banner =
feet
From the formula,

W = 
= 
= 
=
ft
Therefore, width of the rectangular banner is
ft
Step-by-step explanation:
1. V is the midpoint of (SU) ̅ 1. Given
2. UV ≅ VS
2. Definition of midpoint
3. ∠RSV ≅ ∠TUV 3. Given
4. ∠SVR ≅∠UVT
4. Vertical Angle Theorem
5. ∆VUT ≅ ∆VSR 5. ASA Congruence
Substitute sin(x) = tan(t) and cos(x) dx = sec²(t) dt. We want this change of variable to be reversible, so let's assume bot x and t are bounded between 0 and π/2.
Then we have

Recall the Pythagorean identity,
1 + tan²(t) = sec²(t)
Then
√(1 + tan²(t)) = √(sec²(t)) = sec(t)
and the integral reduces to

Change the variable back to x, so the antiderivative is

