Answer:
88° and 132°
Step-by-step explanation:
The sum of angles in a pentagon ( a 5-sided shape) is given as
= (5 - 2) 180°
= 540°
The angles ∠EAB and ∠AED are supplementary hence the sum is 180° Therefore,
∠AED + 110 = 180
∠AED = 180 - 110
= 70°
Given that the sum of the angles in a pentagon is 540° then
110 + 70 + 2k + 140 + 3k = 540
5k + 320 = 540
5k = 540 - 320
5k = 220
k = 220/5
= 44°
Hence the angle ∠ABC
= 2 × 44
= 88°
∠CDE
= 3 × 44
= 132°
Area = Length x Width
Substituting the given values:
16S^2 t = 8St^2 x Width
Manipulating for Width:
Width = 16S^2 t / <span>8St^2
Rewriting the squared terms in simplified form :
</span>Width = 16 x S x S x t / <span>8 x S x t x t
</span>Cancelling the like terms
Width = 16 x S / <span>8 x t
</span>Cancelling the numeric terms :
Width = 2S / <span>t</span>
30 circuits is 10% of 300 circuits
Answer:
3rd one? Someone correct me if I’m wrong
Step-by-step explanation:
I saw the images that accompanied this problem.
2 circles: circle 1 has 6 slices ; circle 2 has 3 slices
Circle 1 is for Tom: you can shade 4 slices out of the 6 slices.
Circle 2 is for Liz: you can shade 2 slices out of the 3 slices.
4/6 is equal to 2/3 because when 4 and 6 are both divided by 2, they give quotient of 2 and 3, respectively.
4 ÷ 2 = 2
6 ÷ 2 = 3
