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3 years ago

Find x and y, given that line WS and line VT are parallel. Show all work!!

Mathematics

1 answer:

slavikrds [6]3 years ago

5 0

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"
$\frac{y}{22} = \frac{2}{5}$
22* $\frac{2}{5}$ = 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

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A triangular courtyard has a perimeter of 120 meters. The lengths of two sides are 30 meters and 50 meters. How long is the thir

Masja [62]

Answer:

the third side is 40 m long

Step-by-step explanation:

The perimeter of the triangle is the sum of its three sides, and they give you what that value in meters is (120 m)

Your are given the length of two of them: 30 m and 50 m, and need to find the third one (let's call it "x" for this unknown side)

Now set the following equation:

Perimeter = side 1 + side 2 + side 3 --> replace these with the info you know

120 m = 30 m + 50 m + x --> add 30 m and 50 m obtaining 80 m

120 m = 80 m + x --> now solve for x (isolate the x on one side) by subtracting 80 m from both sides

120 m - 80 m = x --> perform the subtraction 120 m - 80 m = 40 m

40 m = x

Which tells us that the third unknown side has a length of 40 m

7 0

3 years ago

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The sum of 9/26 and -4/13 is ____ put the answer or else I WILL REPORT YOU

Colt1911 [192]

Answer:

1/26

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Please help anybody I need to fast please

elena55 [62]

Answer:
D. t = -1

step-by-step explanation:
that side should be 180 degrees and the whole is 360 but we are only measuring half
so (20t + 5) = 15t
-20t -20t
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2 years ago

Solving systems of Equations Word Problems - CLASSWORK

dem82 [27]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

$y=8x+30$

Rosie's scooters

$y=10x+20$

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

Rosie's scooters

$y=10x+20$

For x=7 hours

substitute

$y=10(7)+20=90$