#5:
Let's first start by solving for x. The two angles with x's in them form a linear pair, or are supplementary angles, meaning that they add up to 180 degrees.
(4x + 23) + (9x - 38) = 180
13x - 15 = 180
13x = 195
x = 15
Now that we have x, we can solve for y. Alternate interior angles are congruent.
(4x + 23) = (21y - 1)
4(15) + 23 = 21y - 1
60 + 23 = 21y - 1
83 = 21y - 1
84 = 21y
y = 4
#8:
Let's first start by solving for x. The two angles with x's in them are corresponding angles, meaning that they are congruent.
10x = 13x - 33
-3x = -33
x = 11
Now that we have x, let's figure out how we can find y. Looking at the angle with a value of 10x, we can find its supplement. That supplement then, is a corresponding angle with the 5y angle, meaning that they are congruent.
Supplement = 180 - 10x
Supplement = 180 - 10(11)
Supplement = 180 - 110
Supplement = 70
Supplement = 5y
70 = 5y
y = 14
Hope this helps! :)
Answer:
they both get 0.5% or 1/8 pieces
Step-by-step explanation:
<span>A hexagon can be divided into 4 Triangles, making the sum of all angles equal to 720 Degrees.
Since, a hexagon has 6 sides, the angle each side makes to the other keeping in mind the total sum is 720 Degrees would be 720/6 = 120 Degrees. So, the angle formed between two adjacent sides will be 120 Degrees.
Around the centre of a Hexagon, one can draw a circle which makes the angle at the centre at 360 Degrees, again since there are six equal sides, 360/6 = 60 Degrees. So the angle formed at the centre by joining two adjacent vertices to the centre is 60 Degrees.</span>
2.99
by process of a elimination it can’t be the bottom two since the object is getting larger. If you take 6.21/5.4 you end up with 1.15. So now if you take 2.99/2.6 it also equals to 1.15.
