3 points. Do the vertical line test.
Answer:
The length of XY is 32
Step-by-step explanation:
Notice that you have a bisector segment (that divides the segment XY into two equal parts.
since these parts are equal, they must satisfy:
3 x + 1 = 8 x - 24
so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:
1 + 24 = 8 x - 3 x
25 = 5 x
then x = 25/5 = 5
then,now you can find the length of XY as the addition of both parts:
3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32
The area of the given polygon is 1830 cm².
<h3>What is a polygon?</h3>
A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments is referred to as its edges or sides.
We know the area of a square is (side)² and the area of a rectangle is (length×width).
From the given diagram we can think of this polygon as a square having a side length of 46cm and a rectangle having a width (30 - 14) = 16cm and length 21cm, And subtract the area of the rectangle from the area of the square which is,
= (46×46) cm² - (16×21) cm².
= (2166 - 336) cm².
= 1830 cm².
learn more about polygons here :
brainly.com/question/24464711
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3y+6 is the answer
-9+5(y+3)-2y
-9+5y+15-2y
-9+3y+15
=3y+6
