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3 years ago

The segments shown below could form a triangle.

Mathematics

1 answer:

Shalnov [3]3 years ago

8 0

Answer:

Step-by-step explanation:

Condition for a triangle formed by three segments,

Sum of two segments should be greater than third segment

1). AC + BC > AB

2). AC + AB > BC

3). AB + BC > AC

1). AC + BC > AB

1 + 8 > 8

9 > 8

Triangle is possible.

2). AC + AB > BC

1 + 8 > 8

9 > 8

Triangle is possible.

3). AB + BC > AC

8 + 8 > 1

16 > 1

Triangle is possible.

Therefore, with the help of given segments triangle can be formed.

Answer is TRUE.

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A pair of equations is shown below:

horrorfan [7]

Answer:

A. x=2, y = 7.

B. (2, 7).

Step-by-step explanation:

A. You can eliminate y by subtracting the equations:

y = 8x - 9

y = 4x - 1 Subtract:

0 = 4x - 8

4x = 8

x = 8/4 = 2.

Now substitute for x in the first equation:

y = 8(2) - 9 = 7.

Check in the second equation:

y = 4x - 1

7 = 4(2) - 1 = 7. Check is OK.

B. On the graph they will intersect at the point (2, 7).

They will intersect here because the values x=2 and y=7 satisfy both the 2 equations.

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3 years ago

6 children and 2 adults are going to the circus, children tickets are on sale, half the price of adult tickets totaling $54. How

inna [77]

Answer:

Price of 1 child ticket is $5.4

Price of 1 adult ticket is $10.8

Step-by-step explanation:

Given:-

6 children and 2 adults are going for circus.

Children ticket is half the price of adult ticket.

Total ticketing cost =$54

To find:-

Cost of 1 child ticket=?

Cost of 1 Adult ticket=?

Solution:-

Let price of 1 child ticket be x and price of 1 adult ticket be y,

therefore from the given data we get 2 equations,

$6x+2y=54$ -----------------------------------(1)

$x=\frac{1}{2} y$ --------------------------------(2)

Now, substituting the value of x from equation 2 in equation 1,

$6x+2y=54$

$6(\frac{1}{2} y)+2y=54$

$\frac{6}{2}y+2y=54$

$3y+2y=54$

$5y=54$

$\therefore y=\frac{54}{5}$

$\therefore y =10.8$ ------------------------(3)

Now, substituting the value of y from equation 3 in equation 2,

$x=\frac{1}{2} y$

$\therefore x=\frac{1}{2} \times 10.8$ ------------(from equation 3)

$\therefore x=\frac{10.8}{2}$

$\therefore x=5.4$ ----------------------(4)

As, x is price of 1 child ticket and y is price of 1 adult ticket,

Therefore price of 1 child ticket is $5.4 and price of 1 adult ticket is $10.8

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3 years ago

On Friday, Leslie sold 9 3/8 pitchers of lemonade from her lemonade stand. On Saturday, she sold 3 times as much lemonade as on

shtirl [24]

Answer:

28 1/8

Step-by-step explanation:

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3 years ago

Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she

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Answer:

A. 24

Step-by-step explanation:

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2 years ago

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2 years ago

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