Angle R is the reference angle as its the only given angle (other than the 90 degree angle).
Opposite angle R is segment PQ
PR is the hypotenuse
Use the sine rule to find that...
sin(angle) = opposite/hypotenuse
sin(R) = PQ/PR
sin(19) = PQ/11
11*sin(19) = PQ
PQ = 11*sin(19)
PQ = 3.58124969902872 <<-- use a calculator (degree mode)
PQ = 3.58
Answer: 3.58
Put y in the x+2y-6. x+2(3x-7)=0. So x+6x-14=0. 7x-14=0. 7x=14. x=2
My teacher always taught me to set these problems up like a proportion
is / of = % / 100
24/ x = 16 / 100
16x = 2,400
Divide 2,400 by 16 and you get 150.
150 is the correct answer.
Answer:
12
Step-by-step explanation:
There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of
points and since two equilateral triangles can be drawn having
that pair of points as vertices, there are 12 equilateral
triangles that can be drawn having two vertices in the set
{(0,0), (0,1), (1,0), (1,1)}.
