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
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Answer:
AC =
Step-by-step explanation:
Here we have to draw the figure.
When the rectangle is folded A to C. we get a right triangle.
Here we have to use the Pythagorean theorem to find the side lenght of B.
The sides length of B is AC.
By the Pythagorean theorem, the sum of the squares of the sides is equal to the square of the hypotenuse.
Therefore,
AC^2 = AB^2 + BC^2
Taking the square roots on both sides, we get
AC =
Answer:
y= - 2
Step-by-step explanation:
This is correct