Answer:
16. x = 40
17. y = 15
Step-by-step explanation:
16. Given that f is parallel to s, therefore by the corresponding theorem and linear pair theorem, <1 + 3x = 180°
60° + 3x = 180° (substitution)
3x = 180° - 60° (Subtraction property of equality)
3x = 120°
x = 120/3 (division property of equality)
x = 40
17. Since f and s are parallel, therefore,
m<1 = (5y - 7)° (alternate interior angles are congruent)
68° = 5y - 7 (substitution)
68 + 7 = 5y (addition property of equality)
75 = 5y
75/5 = y (division property of equality)
15 = y
Answer:
Step-by-step explanation:
7x + (2x+27)=180-> 9x= 180-27 -> x=17
Answer:
(0,3)
Step-by-step explanation:
solve for 2y
-X-2y= -6
2y=6+2x
substitute the given value of 2y into the equation -x-2y=-6
-x-(6+3x)= -6
solve for x
x=0
substitute the given value of X into the equation 2y=6+3x
2y=6+3×0
solve for y
y=3
the solution is (0,3)
Answer:
The area of the associated sector is
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to

we have

substitute and solve for r


step 2
Find the area of the circle
we know that
The area of the circle is equal to

we have

substitute

step 3
Find the area of the associated sector
we know that
subtends the complete circle of area 
so
by proportion
Find the area of a sector with a central angle of 
