Please answer ASAP..........

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, - £270
 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 £270. Thus,

B + A + L = £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 (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)

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 = £270
 9L = £270
 L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

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

2 years ago

Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot

matrenka [14]

Answer:

$\angle A \cong \angle D$

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that $\overline{AB} \cong \overline{DE}$ and $\overline{AC} \cong \overline{DF}$ , therefore, an additional information showing that the angle between $\overline{AB}$ and $\overline{DE}$ in ∆ABC is congruent to the angle between $\overline{AC}$ and $\overline{DF}$ in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be $\angle A \cong \angle D$ .

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.

7 0

2 years ago

MATH HELP PLZZZZZ!!! 10pts

kykrilka [37]

First i got the area which is : A= a+b divided by 2 x height
=2.5+3.5 divided by 2 x 2= 6
Area = 6

To get the perimeter you just add all the sides together so: 3.5+2.5+2.5+2.5= 11

8 0

3 years ago

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Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/d400e5c3acee453f3779cad4a83f3cb3?ut

saw5 [17]

Answer:

Step-by-step explanation:

5 0

2 years ago

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The width of a rectangular room is 80% of its length. If the length of the room is 20 meters, what is the area of the room? A= l

KIM [24]

Answer:320ft^2

Step-by-step explanation:

80% of 20 is 16, because 80% is 4/5 and 20 divided by 5 is 4, multiplied by 4 is 16. Area is L x W, so 16 times 20 is 320, and don't forget unit of measurement, ft^2 for area

7 0

2 years ago

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