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asambeis [7]
4 years ago
13

Suppose a triangle has two sides that measure 7 inches and 11 inches. Which of the following could be the length of the third si

de? Select all that apply.
A.4 inches
B. 7 inches
C. 13.5 inches
D. 18 inches
E. 20 inches
Mathematics
1 answer:
Vikki [24]4 years ago
7 0
You need to know the rule or theorem for the lengths of the sides of a triangle,which is: the lengths of any two sides of a triangle must add up to more than the length of the third side.

So, let's examine each option:

<span>A.4 inches => side A: 7, side B: 11, side C: 4 ---> NOT POSSIBLE

Justification:

7 + 4 = 11

11 = 11 => the sum of sides A and C is not greter than the side B, so it does not satisfy the rule.


B. 7 inches => side A: 7, side B: 11, side C: 7. ---> COULD BE

Justification:

7 + 7 = 14; 14 > 11
7 + 11 = 18; 18 > 7


C. 13.5 inches => side A: 7, side B: 11, side C: 13.5: ---> COULD BE

Justification:

7 + 11 = 18; 18 > 13.5
7 + 13.5 = 20.5; 20.5 > 11
11+13.5 = 24.5; 24.5 > 7

D. 18 inches => side A: 7, side B: 11, side C: 18 ---> NOT POSSIBLE

Justification:

7 + 11 = 18; 18 = 18 => it does not satisfy the rule.

E. 20 inches => side A: 7, side B: 11, side C: 20 ---> NOT POSSIBLE

Justification:

7 + 11 = 18; 18 < 20 => it does not satisfy the rule</span>
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Ivenika [448]
Subtract 985 from 177 since Anna has 177 more songs than Ryelin. Then divide that answer by 2 which gives each one an equal amount then add 177 to one of the answers to get how many each girl has.

985 - 177 = 808
808 \div 2 = 404
404 + 177 = 581
So Ryelin has 404 songs downloaded and Anna has 581 songs downloaded.
8 0
3 years ago
Use the gcf and the distrubitive property to find the expression that is equivalant to 48+56
mart [117]

Answer:

6+7 or 12+14 or 24+28

Step-by-step explanation:

48 and 56 are both divisible by 8,4 and 2. so you divide them by 8, 4 or 2 and put those answers into an addition problem.

5 0
3 years ago
12x -20=n (3x-5)<br><br> I need help I don’t get it please help me.
Salsk061 [2.6K]

Answer:

The value of n = 4 and  

The value of x = \frac{5}{3}

Step-by-step explanation:

Method I:

As given, 12x -20=n (3x-5)      .........(1)

Firstly , take 12x - 20

As 12x - 20 can be written as 4(3x - 5)

∴ equation (1) becomes

4(3x - 5) = n (3x-5)

Divide the equation by (3x-5) , we get

4 = n

Method II:

As given, 12x -20=n (3x-5)

⇒12x - 20 = 3nx - 5n

⇒12x - 3nx = 20 - 5n

⇒3x(4 - n) = 5( 4 - n)

Divide the equation by (4-n) , we get

3x = 5

⇒ x = \frac{5}{3}

∴ we get

n = 4 and  x = \frac{5}{3}

Now, check that value of n and x satisfies the equation or not

12(\frac{5}{3}) - 20 = 4( 3(\frac{5}{3}) - 5)

⇒4(5) - 20 = 4(5 - 5)

⇒20 - 20 = 4(0)

⇒ 0 = 0

Hence , we get

The values of x and n satisfies the equation

so, we get

n = 4 and  x = \frac{5}{3}

5 0
3 years ago
Factorise k^2 + 5k + 6​
fenix001 [56]

Answer: (k+2) (k+3)

Step-by-step explanation:

Factor 5^2 +5k+6 using the AC method.

5 0
3 years ago
What is the GCF an the product of 15+81=
valina [46]

Answer:

Ok, the GCF is 3. and the product (watch your signs or terms), use a dot or x for multiplication (that is the operation product refers to) and a + for addition. the prpduct of 15x81 is 1,215

3 0
3 years ago
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