Answer: C
Step-by-step explanation:
Since this is an isosceles triangle as indicated by the markers on QP and PR, we know that QS and SR are equivalent.
To find the value of n, we set QS and SR equal to each other.
6n+3=4n+11 [combine like terms]
2n=8 [divide both sides by 2]
n=4
Now that we know n=4, we know that A is incorrect. What we can do is use the value of n to solve for QS, SR, and QR.
QS
6(4)+3=13
Since the length of QS is 13, we know B is incorrect.
SR
4(4)+11=27
Since SR is 27, C is a correct answer.
QR
13+27=40
Since QR is 40, the only correct answer is C.
Answer:
1
Step-by-step explanation:
( 50 / 5² )² ÷ 4 (by PEDMAS, do the terms inside the parentheses first)
= [ (5 · 10) / (5 · 5) ]² ÷ 4 (the 5's cancel out in the numerator and denominator)
= [ (10) / (5) ]² ÷ 4
= [ 2 ] ² ÷ 4
= 4 ÷ 4
= 1
Hope this helps
A.)

Use the identities

and

on the left-hand side

Make 1 have a common denominator to allow for fraction subtraction
Multiply the numerator and denominator of 1 by cos^2 x

Use Pythagorean identity for the numerator.
If

then subtracting both sides by

yields

. We can substitute that into the numerator

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b.)

For the left-hand side:
By definition,

and

Since

Using Pythagorean identity,

so
Answer:
1. cos(F) = 2. 5/13
tan (F) = 3. 12/5
sin (F) = 1. 12/13
2. Sin (R) = 1. 60/68 = 30/34 = 15/17
cos (R) = 2. 32/68 = 16/34 = 8/17
tan (R) = 3. 60/32 = 30/16 = 15/8
Step-by-step explanation:
1 picture:
sin = Opp/Hyp
cos = adj/hyp
tan = opp/adj
cos(F) = 2. 5/13
tan (F) = 3. 12/5
sin (F) = 1. 12/13
2 Picture:
Sin (R) = 1. 60/68 = 30/34 = 15/17
cos (R) = 2. 32/68 = 16/34 = 8/17
tan (R) = 3. 60/32 = 30/16 = 15/8
Answer:
y=2/3x−4
Step-by-step explanation: