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Nata [24]
3 years ago
14

two angles supplementary one angle measure 16 degrees more than three times the other find the measurement of each angle​

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0

Answer:

the supplementary angles are 41° and 139°

Step-by-step explanation:

let one of the the supplymentary angle be x

the other angle = 3x + 16

now, since we know they are supplementary, their sum = 180°

=》x + 3x + 16° = 180°

=》4x = 180° - 16°

=》x = 164° ÷ 4

=》x = 41 °

so, one of the angles is x = 41°

the other one is : 3x + 16

=》(3 × 41°) + 16°

=》123° + 16°

=》139°

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zepelin [54]

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2 years ago
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Please help me 33/2 + 3y/5 = 7y/10 + 15
8090 [49]

We are given with an equation in <em>variable y</em> and we need to solve for <em>y</em> . So , now let's start !!!

We are given with ;

{:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}

Take LCM on both sides :

{:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}

<em>Multiplying</em> both sides by <em>10</em> ;

{:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}

{:\implies \quad \sf 165+6y=7y+150}

Can be <em>further written</em> as ;

{:\implies \quad \sf 7y+150=165+6y}

Transposing <em>6y </em>to<em> LHS</em> and <em>150</em> to<em> RHS </em>

{:\implies \quad \sf 7y-6y=165-150}

{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}

8 0
2 years ago
5 1/8+5/6+5/12=6.375 what is 6.375 as a fraction? A 6 3/4. B.6 3/8. C6 3/12. D 6 3/24 please help
vovikov84 [41]
B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.

We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many  decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.

We get the following fraction
6 375/1000

We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200

Let's divide by 5 again:
6 15/40

Let's divide by 5 again:
6 3/8

Or we could have divide by 125 from the  get go and get the same results.

3 0
3 years ago
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