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2 years ago

The angles below are supplementary. What is the value of x?

Mathematics

1 answer:

Natalka [10]2 years ago

4 0

Answer:

12 is the value of x.

Step-by-step explanation:

Supplementary angles: Two angles that sum up to 180°

=> 6x + 48 + 60 = 180
=> 6x + 108 = 180
=> 6x = 180 - 108
=> 6x = 72
=> x = 72/6
=> x = 12

Hence, 12 is the value of x.

$BrainiacUser1357$

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An online furniture store sells chairs for $200 each and tables for $600 each. Every

Vladimir79 [104]

Answer:

Step-by-step explanation:

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32 .......1

200 C + 600 T = 12000 .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T = 5600

∴ T =

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴ C =

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴ T =

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

8 0

3 years ago

The value of w???????

goldenfox [79]

Answer:

Step-by-step explanation:

The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:

$\frac{15}{18}=\frac{w}{30}$ and cross multiply.

18w = 450 so

w = 25

4 0

2 years ago

What is 2 numbers that multiply to get 6 and add up to get 10

lisabon 2012 [21]

The numbers are 4 and 2! 4 plus 2 equals 6! and 6 plus 4 is equal 10!

5 0

3 years ago

What is one of the solutions to the following system of equations?

Amanda [17]

Answer:

(8,-1)

Step-by-step explanation:

Given : $x^{2} +y^{2} =65$

$x+y=7$

To Find: solution of given system of equations.

Solution:

Equation a : $x^{2} +y^{2} =65$

Equation b : $x+y=7$

Substitute the value of y from equation b in equation a

y from equation b : y = 7-x

Now substitute value of y in equation a

Thus equation a becomes:

$x^{2} +(7-x)^{2} =65$

$x^{2} +49+x^{2}-14x =65$

$2x^{2} -14x =65-49$

$x^{2} -7x -8=0$

$x^{2} -8x+x -8=0$

$x(x-8)+1(x-8)=0$

$(x+1)(x-8)=0$

⇒ x= -1 and x = 8

Now substitute values of x in equation b to obtains values of y

⇒ $x+y=7$

for x = -1

⇒ $-1+y=7$

⇒ $y=7+1$

⇒ $y=8$

Thus (x,y)=(-1,8)

For x =8

⇒ $8+y=7$

⇒ $y=7-8$

⇒ $y=-1$

Thus (x,y)=(8,-1)

Hence Option A is the correct solution .

6 0

3 years ago

Read 2 more answers

Activity ||| : Define the following terms:

slamgirl [31]

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9).The intersection of two or more given sets is the set of elements that are common to each of the given sets. The intersection of sets is denoted by the symbol '∩'. In the case of independent events, we generally use the multiplication rule, P(A ∩ B) = P( A )P( B ).

10).Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set. ... Sets are usually represented using a roster form or a set builder form.

Step-by-step explanation:

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8 0

2 years ago