Answer:
y = 4
Step-by-step explanation:
5x + y = -1
y = -1 - 5x
y = 6x + 10
6x + 10 = -1 - 5x
11x = -11
x = -1
y = 6x + 10 = 6(-1) + 10 = -6 + 10 = 4
Answer:
Area of the shaded part is 3.14 square unit.
Step-by-step explanation:
Area of the shaded part = Area of large semicircle - (Area of two small semi circles)
Area of large semicircle with center O = 
= 
= 2π
Area of semicircle with center O' = 
= 
Area of semicircle with center O" = 
Now substitute these values in the formula,
Area of shaded part =
=
= 3.14 square unit
Area of the shaded part is 3.14 square unit.
Answer:
z=5, m<b=66 degrees
Step-by-step explanation:
8z+74+2z+56=180
10z+130=180
10z=50
z=5
Answer:
-11 for the first one and 0 for the second one
Step-by-step explanation:
Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85