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allochka39001 [22]
3 years ago
11

The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle. Find the measures of all three

angles.
Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

Let smallest angle be x

x+(x+42°)+90°=180°

2x+42°=90°

2x=48°

x=24°

There fore the angles of the triangle are 90, 66° and 24°

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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
-12 = 4x + 1<br> solve<br> algebra
Eddi Din [679]

Answer:

x=-\frac{13}{4}

Step-by-step explanation:

-12=4x+1\\4x=-12-1\\x=-\frac{13}{4}

4 0
3 years ago
Taylor and Jesse are buying a magazine for $3.75 and a snack for $2.49 what is s the total cost of the two items?
Kazeer [188]

Hey There!

The answer you are looking for is; $6.24!

Work:

You simply add $3.75 + $2.49 together.

Since .75 + .29 = 1.24, you carry the one over to the full dollar.

3 + 2 + 1 = 6.

= 6.24

Hope I helped! 5 stars and brainliest are always appreciated.

7 0
3 years ago
Read 2 more answers
Vertical angles are supplementary, true or false?
beks73 [17]

Answer:

False

Step-by-step explanation:

Vertical angles are a pair of opposite angles created by intersecting lines. The Vertical Angles Theorem states that if two angles are vertical, then they are congruent.

4 0
4 years ago
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On average, Debbie can finish 4 algebra problem in 30 minutes. If Debbie works at this rate, how many problems will she solve in
alexandr402 [8]
She will solve 20 problems in 2.5 hours, 4*5 thirty minute sessions=20.
5 0
3 years ago
Read 2 more answers
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