Answer:
129.3 in²
Step-by-step explanation:
The shaded segment is calculated as
area of sector ABC - area of triangle ABC
area of sector = area of circle × fraction of circle
A = πr² × 
= π × 18² × 
= 324π × = 54π in²
area of Δ ABC = 
× 18 × 18 × sin60° ≈ 40.30 in²
Then
shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )
The red arrows show that the lines are parallel, but using the stuff given you can make an equation.
its hard to explain without drawing but starting from the 60 if you can make a Z you will get alternate angles and that mean that the given equation MUST be equal to 60. So,
8x-4=60
8x=60+4
8x=64
x=64/8
x=8 (is your answer)
hope you understand
Answer:
Yes, this is a right triangle
Step-by-step explanation:
Plug the values into the pythagorean thm.
1.5^2 + 2^2 = 2.5^2
2.25+4=6.25
6.25=6.25
Answer:
4
Step-by-step explanation:
The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.
Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.
Solving that equation will give you b=-7
That means the y-intercept is -7.
The equation would then be y=4x-7
TRS because of SSS, SAS, SSA, ASA, and probably others.
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