Find x and y, given that line WS and line VT are parallel. Show all work!!
1 answer:
Given that those lines are parallel they will form similar traingles. This means the lengths of the sides of the triangles will be proportional through a ratio.
Find the ratio: divde the given small side by the given big side(they must be the same sides of the triangles though)
For example:
I found the ratio by dividing 8 / (20) and simplify to 2/5
Next step: multiply 22 by the fraction to get "y"
22*
= y
y=8.8 units
To find x :
Step 1: write an equation for the length of side US.
US= 5+x-2= x+3
Step 2: DIVIDE 5 by the ratio (must divide to get longer side DO NOT multiply)
US= 5/(2/5)= 12.5 units
Step 3: set the expression you found for US equal to 12.5
12.5= x+3
subtract 3 from both sides to isolate x.
x= 9.5 units
My answers:
x= 9.5 units
y= 8.8 units
Find the ratio: divde the given small side by the given big side(they must be the same sides of the triangles though)
For example:
I found the ratio by dividing 8 / (20) and simplify to 2/5
Next step: multiply 22 by the fraction to get "y"
22*
y=8.8 units
To find x :
Step 1: write an equation for the length of side US.
US= 5+x-2= x+3
Step 2: DIVIDE 5 by the ratio (must divide to get longer side DO NOT multiply)
US= 5/(2/5)= 12.5 units
Step 3: set the expression you found for US equal to 12.5
12.5= x+3
subtract 3 from both sides to isolate x.
x= 9.5 units
My answers:
x= 9.5 units
y= 8.8 units
You might be interested in
1. - Cone
2. - Sphere
3. - Cylinder
4. - Pyramid
5. - Prism
Solution:
1.
Lateral surface area of cone =
where r is the radius of the cone and l is the slant height of the cone.
2.
Volume of sphere =
where r is the radius of the sphere.
3.
Total surface area of cylinder =
where r is the radius of the cylinder and h is the height of the cylinder.
4.
Volume of pyramid =
where B is the base area of the pyramid and h is the height of the pyramid.
5.
Lateral surface area of prism =
where p is the perimeter of the base and h is the height of the prism.