All categories

3 years ago

Describe what makes a pair of angles same-sides interior angles

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer:

Same side interior angles have to lie on the same side of the transversal and be between two parallel lines. A pair of angles have to be supplementary or add up to 180 degrees and be on the same side of the transversal to be made same side interior angles.

You might be interested in

Madison has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 12 o

Troyanec [42]

Answer:

$12x+22(y+10)=1240, y=x$

small cups=30

large cups=40

Step-by-step explanation:

let x be the number of small cups and y the number of large cups.

-Given that 10 more cups than small cups of lemonade were sold:

$12x+22(y+10)=1240$

#Before the 10 more were sold, the number of x and y sold were equal>

$x=y\\\\\therefore 12x+22(x+10)=1240\\\\12x+22x+220=1240\\\\34x=1240-220\\\\34x=1020\\\\x=30$

The number of small cups sold was 30

#Since, the number of large cups was 10 more, y=x+10=30+10=40

7 0

3 years ago

Read 2 more answers

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;

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

Now We will multiply equation 1 by 25 we get;

$x+y=120\\25(x+y)=120\times25\\25x+25y= 3000 \ \ \ \ equation\ 3$

Now Subtracting equation 3 from equation 2 we get;

$(99x+25y)-(25x+25y)=5812-3000\\\\99x+25y-25x-25y=2812\\\\74x=2812\\\\x=\frac{2812}{74}=38$

We will now substitute the value of x in equation 1 we get;

$x+y=120\\38+y=120\\y=120-38\\y=82$

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

3 0

3 years ago

HELP PLS WILL GIVE A LOT OF POINT

sveta [45]

Answer:

large = 18 3/4 = 18.75

small = 13/2 = 6 1/2 = 6.5

Step-by-step explanation:

Let l = the weight of large boxes

s = weight of small boxes

2 large and 3 small weights 57

2l+3s = 57

6 large and 5 small wights 145

6l+5s = 145

Multiply the first equation by 3

3(2l+3s) = 57*3

6l +9s =171

Subtract the second equation

6l +9s =171

-6l -5s = -145

-----------------------

4s =26

Divide each side by 4

4s/4 = 26/4

s = 26/4 = 13/2

Substitute this into the first equation

2l +3s = 57

2l + 3(13/2) =57

Multiply by 2 to get rid of the fractions

2(2l + 3(13/2)) =57*2

4l + 39 = 114

Subtract 39 from each side

4l +39-39 = 114-39

4l =75

Divide by 4

4l/4 = 75/4

l = 75/4 = 18 3/4

7 0

3 years ago

Read 2 more answers

Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed.

Slav-nsk [51]

The angle to the left of angle 1 is 70, so angle 1 is equal to 180 - 70 - 70 which is 40,

5 0

3 years ago

Read 2 more answers

How many teaspoons are in 8 tablespoons?

Anvisha [2.4K]

24 teaspoons
============

4 0

3 years ago

Read 2 more answers