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3 years ago

A triangle with 7,?, and form a right triangle.

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

9514 1404 393

Answer:

C 24

D 25

Step-by-step explanation:

Consider the choices offered:

5 and 7 will not form a triangle* with any of the other lengths

7 and 12 will not form a triangle with any of the other (longer) lengths

7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)

7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.

<em>Further consideration</em>

7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem

The side measures 7, 24, 25 will form a right triangle.

_____

* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.

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Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l

creativ13 [48]

Using a system of equations, it is found that the unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

For the system:

x is the unit price of a bag of chips.

y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

$y = 1.5$

Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0

3 years ago

Help me please help.me

STALIN [3.7K]

Answer:

1. C

2. B

3. A

4. C

5. No, SACK is a square because they have 4 side with the same length.

please give me brainliest

4 0

2 years ago

Read 2 more answers

Can someone please help me with this square root problem?

vovikov84 [41]

Answer:

Rational, Rational, Rational, Irrational, Irrational

Step-by-step explanation:

The first question:

-√49
-7

This number is rational

Second:

-70.8888....

This number is rational. It wouldn't be rational if the digits won't repeat.

Third:

15.91

This number is rational

Fourth:

17π

This is irrational. The digits of pi do not repeat, making it irrational.

Fifth:

-√14

Irrational. The square root of a non-perfect square is irrational.

<h3 />

-Chetan K

5 0

2 years ago

Giselle works as a carpenter and as a blacksmith.

seropon [69]

Step-by-step explanation:

$20/hr carpenter pay

$25/hr blacksmith pay

Let c = hours working carpentry

Let b = hours working as blacksmith

c + b = 30 {equation 1}

20c + 25b = 690 {equation 2}

In equation 1 solve for one variable in terms of the other.

c = 30-b

Substitute that into equation 2:

20(30-b) + 25b = 690

600 - 20b + 25b = 690

5b = 90

b = 90/5

b = 18 hours working as a blacksmith

c = 30-b = 30-18 = 12 hours as a carpenter

3 0

1 year ago

Jada purchases movie tickets online. She buys 2 tickets for adults and 4 tickets for children. The cost of a ticket for a child

grandymaker [24]

Answer:

Step-by-step explanation:

58 is the answer without tax

so the cost of an adult ticket is 13 dollars

and the kids ticket is 8 dollars

use system of equations to solve this.

58=2x+4y

y=x-4

8 0

3 years ago