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1 year ago

Someone help Quickly please

Mathematics

1 answer:

s2008m [1.1K]1 year ago

7 0

The variables x and y have their values to be 50 degrees and 20 degrees, respectively

<h3>How to determine the values of the variables?</h3>

The triangle, the lines and the angles represent the given parameters

On the triangle, we have the following corresponding angles

Angle 5y and angle 2x

Corresponding angles have equal measure

So, we have the following representation

2x = 5y

Divide both sides by 2

x = 2.5y

The angle on a straight line is 180 degrees

So, we have the following representation

5y + 180 - 2x - (x - y) + 30 = 180

Remove the bracket

So, we have

5y + 180 - 2x - x + y + 30 = 180

Subtract 180 from both sides

This gives

5y - 2x - x + y + 30 = 0

Substitute x = 2.5y in 5y - 2x - x + y + 30 = 0

5y - 2(2.5y) - 2.5y + y + 30 = 0

So, we have

5y - 5y - 2.5y + y + 30 = 0

Evaluate the like terms

1.5y = 30

Divide both sides by 1.5

y = 20

Recall that x = 2.5y

So, we have

x = 2.5 * 20

Evaluate

x =50

Hence, the measures of the variables are x = 50 and y = 20

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In the figure below, lines 1 and 2 are parallel. Lines 3 and 4 are also parallel.

attashe74 [19]

I don’t see a diagram, but I assume that you must use these things.

Opposite interior angles. (Which are equal)
Same side interior angles (which are supplementary or they add up to 180)
Corresponding angles (which are equal)
Vertical angles (which are equal)

5 0

3 years ago

the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.

sasho [114]

Question

the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.

Answer:

(10,-14)

Step-by-step explanation:

0 + x

--------- = 5 Multiply both sides by 2 ----> 0 + x = 10 or x = 10

2 + y

-------- = -8 Multiply both sides by 2 ----> 2 + y = -16 or y = -14

Therefore, the coordinates of point S should be at (10,-14)

4 0

3 years ago

There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val

polet [3.4K]

Answer:

There are 38 premium tickets and 82 regular tickets in a pile.

Step-by-step explanation:

Given,

Total number of tickets = 120

Total amount = $5812

Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and total number of regular tickets.

So the equation can be written as;

$x+y=120\ \ \ \ \ equation\ 1$

Again,total amount is the sum of total number of premium tickets multiplied by cost of each premium ticket and total number of regular tickets multiplied by cost of each regular ticket.

So the equation can be written as;

$99x+25y=5812\ \ \ \ equation\ 2$