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Ray Of Light [21]
3 years ago
9

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

Mathematics
1 answer:
LenKa [72]3 years ago
6 0

1.What are the statements?

2. Angle L would also be 72°, since base angles in an isoceles triangle are the same. We also know angles in a triangle add up to 180°. So, to do it the long way, 36+71=108°, 180-108=72°

Angle L is 72°.

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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
Pls, help with this math question
Aleks04 [339]

Step-by-step explanation:

OCB=CBO(base angle of isosceles triangle are equal)

now,

OCB+CBO+BOC=180°(sum of angles of triangles)

BOC=180-62

BOC=118°

again,

x=BOC/2{inscribed angle is half of central angle standing on Same base}

x=118/2

x=59°

<h2>stay safe healthy and happy...</h2>
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3 years ago
I need this to be 20 letters so whats 2 +2
Firdavs [7]

Answer: So what is two plus two plus two?

Well let me demonstrate. Take 2 cookies for example, your friend supplements 2 more cookies and there you have it 4 cookies. So two and two cookies are 4 cookies. Thus, 2+2=4

Step-by-step explanation: Hope I helped you out <3

-Carrie

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Concesion tables contain ratios that can be used to convert units of length, weight, or capacity. You must multiply the
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Answer:

Step-by-step explanation:

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The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
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Answer:

35 inches

L×W=A

length×width=area

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