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Stolb23 [73]
3 years ago
14

Find the value of x in the triangle shown below

Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

we can use the Pythagorean theorem to solve this problem

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 9

x = +/- 3

we take only the positive value because a length can‘t be negative

x = 3

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Which of the following expressions are equivalent to - -13/12
RUDIKE [14]

If is -(-13/12) then A. -13/-12

If is -13/12 then B. 13/-12

-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}

6 0
2 years ago
Phoebe, Andy and Polly share £270.
Stella [2.4K]
*Given
Money of Phoebe            - 3 times as much as Andy
Money of Andy                - 2 times as much as Polly
Total money of Phoebe,  - <span>£270
</span>    Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus, 
</span>
                  B + A + L  = <span>£270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as
  
                  B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                  A = 2L</span>                           (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly, 

                 B = 3A
                 B = 3 x (2L)
                 B = 6L                            </span>(EQUATION 3)<span>

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only. 

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes, 

                  6L + 2L + L = </span><span>£270
</span>                                9L = <span>£270
</span>                                  L = <span>£30

So, Polly has </span><span>£30. 

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively. 
</span>
                  A = 2L                           
                  A = 2(£30)
                  A = £60

Andy has £60

                  B = 6L                         
                  B = 6(£30)
                  B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
7 0
3 years ago
Can someone help me with these questions <br><br> You have to write then in a expression
cupoosta [38]

Answer:

(11)q/2+8

(13)9x

(15)9 + (y × 3)

3 0
3 years ago
What is y=2x+1<br> 3x+4y=26 equal?
strojnjashka [21]
Substitute in y= equation into 2nd equation to start.
(2,5)
7 0
3 years ago
Work out the size of the interior angle of a regular 18-sided polygon.
qaws [65]

Answer:

160°

Step-by-step explanation:

The formula below gives the measure of an interior angle of a regular polygon of n sides.

[(n - 2)180]/n

[(18 - 2)180]/18

16(10)

160

Answer: 160°

4 0
3 years ago
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