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PtichkaEL [24]
2 years ago
10

How to solve this problem by finding x​

Mathematics
2 answers:
Firdavs [7]2 years ago
8 0
Ticket for a pantomime cost $80 for children. A party of 25 pays $143 in total. how many adults were there in the party?
can anyone answer this?
can anyone answer this
LekaFEV [45]2 years ago
5 0

Answer:

X=140

Step-by-step explanation:

<em>Firstly, any Quadrilateral has a total sum of its angle equal to 360 degrees</em>

<em>The attachment you are showing us shows that we already know two angles</em>

<em>(70)&(60) degrees. I am assuming the line DC is a tangent, so angle ADC must be 90 degrees since a full angle on a tangent is equal to 180 degrees and there is 90 from the other side (180-90=90). Now we know 3 angles and what you have to do is find X so that when you add them all up they make a sum of 360. </em>

<em />

X+70+60+90=360

X=360-70-60-90

X=140

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Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5
aniked [119]

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The <u>distributive property of multiplication</u>  states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

so

a*(b+c)=a*b+a*c

in this problem we have

-3*(6+5)=-3*6+-3*5 ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

4 0
3 years ago
What is the measure of ∠S? <br><br> 50°<br> 30°<br> 100°<br> 60°
Scilla [17]
Hello,

Answer B

An exterior angle of a circle has like measure the half of difference of the arcs.
mes S=(85°-25°)/2=60°/2=30°
7 0
3 years ago
An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w
Rina8888 [55]

Answer:

a) The general solution   θ = nπ±π/6

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)   The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Step-by-step explanation:

<u><em>Step( i)</em></u>:-

Given an equation 2 cos (2θ)-1 =0

                               2 cos (2θ) = 1

                                cos(2θ) = 1/2

                                cos(2θ) = cos (π/3)

<em>Step(ii):-</em>

<em>a) </em>

The general solution of  cos θ = cos ∝ is given by

                                              θ = 2nπ±∝

The general solution of  cos(2θ) = cos (π/3) is

                                               2θ = 2nπ±π/3

                                                θ = nπ±π/6

Put n=0          θ =  ±π/6

Put n =1          θ = π±π/6

                       θ = π-π/6 = 5π/6

                        θ = π+π/6 = 7π/6

put n =2

                        θ = 2π±π/6  

                         θ = 2π-π/6 = 11π/6

                        θ = 2π+π/6 = 13π/6

   

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)

        The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

<u><em>Final answer</em></u>:-

a)

The all solutions are  - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b)

The solutions in the interval [ 0,2π)

                            θ =  - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

             

                                               

                                         

8 0
3 years ago
9 exponent 10<br> Divide by 9 exponent 11
Natasha_Volkova [10]

Answer:

\frac{\sqrt{110} }{11} or \frac{\sqrt{10} }{\sqrt{11} }

Step-by-step explanation:

I assume you mean \frac{9\sqrt{10} }{9\sqrt{11} }

there is a common factor of 9 in the numerator and denominator so we can cancel out to form \frac{\sqrt{10} }{\sqrt{11} }

\frac{\sqrt{10} }{\sqrt{11} } is technically a correct answer, but I will go ahead to rationalize the denominator

multiply \frac{\sqrt{10} }{\sqrt{11} } by some form of 1. this case, we will use \frac{\sqrt{11} }{\sqrt{11} } as our 1.

\frac{\sqrt{10} }{\sqrt{11} }*\frac{\sqrt{11} }{\sqrt{11} } = \frac{\sqrt{10} *\sqrt{11} }{\sqrt{11} *\sqrt{11} } = \frac{\sqrt{110} }{11}

8 0
3 years ago
What is the sum of the first 13 terms of the given geometric sequence:<br> 1,2,4,8,16,
solniwko [45]

Answer:

Answer in the photo

Step-by-step explanation:

4 0
3 years ago
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