Answer:
35
Step-by-step explanation:
x=35
y=7
Answer:
yes they are
Step-by-step explanation:
they are both congruent because they are the same shape and size, they are just on opposite sides
(congruent means that 2 objects are the same shape and size)
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Since AB and BC are perpendicular, then
∠ABC = 90° and
∠ABD + ∠DBC = ∠ABC ← substitute values
3r + 5 + 5r - 27 = 90, that is
8r - 22 = 90 ( add 22 to both sides )
8r = 112 ( divide both sides by 8 )
r = 14
Hence
∠ABD = 3r + 5 = (3 × 14) + 5 = 42 + 5 = 47°
∠DBC = 5r - 27 = (5 × 14) - 27 = 70 - 27 = 43°
Answer:
The area of the shaded region is 30.5 cm^2.
Step-by-step explanation:
So, first you need to find the area of the circle and rectangle separately.
The diagram shows that the circle radius is 5 cm; use the formula pi*r^2 to solve for the area.
The area of this circle:
3.14*5^2
3.14*25
=78.5 cm
The area of this rectangle:
8 cm*6 cm = 48 cm
Now subtract the rectangle's area from the area of the circle.
78.5-48 = 30.5 cm
