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Norma-Jean [14]
3 years ago
12

The lengths of two sides of a triangle are 26

Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

22\ m < x < 74\ m

Step-by-step explanation:

Let

x ----> the length for the third side

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 26+48> x

solve for x

74> x

Rewrite

x < 74\ m

2) 26+x>48

solve for x

subtract 26 both sides

x> 22\ m

therefore

The range of  possible lengths, in meters, for the third side is equal to

22\ m < x < 74\ m

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If y = -x² + 14x + 7 , then x = 10 is a counterexample for which conjecture?
Misha Larkins [42]

Answer:

The correct answer is B

Step-by-step explanation:

If we plug in x=10 to the equation, we get y=47

Since y is positive, A is not an counterexample

Since y is a function of x, C is not an counterexample

Since the graph of y is a parabola, D is not an counterexample

Hope this helped and mark as brainliest!

6 0
3 years ago
Half of your baseball card collection got wet and was ruined. You bought 18 cards to replace some that were lost. How many did y
postnew [5]
1. Let x be the original amount of baseball cards,
2. half of x was lost so x divided by 2.
3. you buy 18 cards to replace some that were lost
4. You can find the awnser by subtracting 18 from 30, which is 12.
5. Now lets remember that half of your cards were lost. meaning that 12 is only half of what you started with.
6. 12 times 2 would be 24.
7. The Awnser is 24
8. To check your work, you can say x=24, 24 divided by 2 is 12, and 12 plus 18 is 30.

5 0
3 years ago
The librarian noticed that 60% of seventh graders checked out fantacy books. About how many of 240 seventh graders would check o
ehidna [41]

Answer:

The correct answer is 144.

Step-by-step explanation:

The librarian noticed that 60% of total seventh graders checked out fantasy books from the library.

Total number of seventh graders is given to be 240.

Number of seventh grade students who checked out fantasy books = 60% of 240 = 0.6 × 240 = 144.

Thus out of 240 seventh graders 144 of them would check out  a fantasy book from the library.

4 0
3 years ago
Bradley solved the following equation 4(5x - 6) = 2(8x + 10)
lukranit [14]

Hello! I'm guessing you need someone to solve this equation!

4(5x-6)=2(8x+10)

20x-24=16x+20

Add 24 on both sides!

20x=16x+44

Subtract 16x on both sides!

4x=44

Divide 4 by 44

x=11

8 0
3 years ago
I need some one to help me!! <br><br> Is (7, 0) a solution to the equation y = x − 7?
Marianna [84]

Answer:

Yes

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Coordinates (x, y)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (7, 0)

Equation y = x - 7

<u>Step 2: Find</u>

  1. Substitute in point [Equation]:                                                                         0 = 7 - 7
  2. Subtract:                                                                                                            0 = 0

Since 0 = 0 is true, then it would be a solution to the equation.

3 0
3 years ago
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