Answer:
50.3 mm
Step-by-step explanation:
The perimeter of the shaded region = perimeter of a full circle + 2(Length)
= πd + 2(L)
diameter (d) = width = 9 mm
Length (L) = 11 mm
Perimeter of the shaded region = π*9 + 2(11)
= 50.2743339 ≈ 50.3 mm (nearest tenth)
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
Answer:
1st blank: 4
2nd blank: -8
y=2
Step-by-step explanation:
-2²=4
4(-2)=-8
1 x 4 = 4
4 + -8 = -4
-4 + 6 = 2
Answer:
a
Step-by-step explanation:
a
