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3 years ago

The value of x in the proportion 1/2:2/3 = 3/4:x is 1 4/9 1 7/9 1/4

Mathematics

2 answers:

mario62 [17]3 years ago

6 0

1 : 2 = 3 : <span>6
</span> 1 is the answer

n200080 [17]3 years ago

5 0

1 is the answer coz1*3:2*2 = 3:4=3/4:1

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3/2x-2=19 What does x equal?

dimaraw [331]

First, add 2 to both sides. You should have 3/2x=21. Multiply both sides by 2 which gives you 3x= 42. Divide by 3 and you have x=14

4 0

3 years ago

5. The measure of an intercepted arc is 86, and the measure of the inscribed angle creating the intercepted arc is 3x +

Nonamiya [84]

Answer:

Th correct option is D. 13

Therefore the value of x is 13.

Step-by-step explanation:

Given:

measure of an intercepted arc = 86°

Center Angle = 86°

measure of the inscribed angle creating the intercepted arc= (3x+4)°

Angle Inscribed in arc = (3x+4)°

To Find:

value of x = ?

Solution:

Inscribed Angle Theorem:

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

$\textrm{Angle Inscribed in arc}=\dfrac{1}{2}\textrm{Center Angle}$

Substituting the values we get

$3x+4=\dfrac{1}{2}86=43\\\\3x=39\\\\x=\dfrac{39}{3}=13\\\\x=13$

Therefore the value of x is 13.

4 0

3 years ago

If x varies inversely as y and x=12 when y=9, find x when y=54

beks73 [17]

Answer:

x = 72

Step-by-step explanation:

We set the two equal to each other

x = 12/y = 9 is equal to x/y = 54.

In order for 9 to get to 54, you have to multiply it by 6. Since you multiplied the denominator with 6, you have to do the same with the numerator. 12 times 6 is 72.

x = 72

3 0

3 years ago

Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. A adult’s ticket was $6.50 while a child’s ticket was $3.50. In t

irga5000 [103]

Regal theater sold 321 adult tickets and 227 children tickets.

Step-by-step explanation:

Given,

Cost of each adult ticket = $6.50

Cost of each child's ticket = $3.50

Total tickets sold = 548

Total worth of sold tickets = $2881

Let,

x represent the number of adult tickets sold

y represent the number of child tickets sold

According to given statement;

x+y=548 Eqn 1

6.50x+3.50y=2881 Eqn 2

Multiplying Eqn 1 by 6.50

$6.50(x+y=548)\\6.50x+6.50y=3562\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(6.50x+6.50y)-(6.50x-3.50y)=3562-2881\\6.50x+6.50y-6.50x-3.50y=681\\3y=681$

Dividing both sides by 3

$\frac{3y}{3}=\frac{681}{3}\\y=227$

Putting y=227 in Eqn 1

$x+227=548\\x=548-227\\x=321$

Regal theater sold 321 adult tickets and 227 children tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

6 0

3 years ago

Which statement best shows the difference between a line and a point

Vlada [557]

A point denotes a location or a specific designation in space. A point has no measurements, it is simply a dot in one dimension. A line is composed of infinitely many points which extends in two opposite sides, the positive and negative infinities. A line is also one dimensional. If it were a segment, it would have two opposite endpoints, not extending to both infinities.

7 0

3 years ago