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3 years ago

The ratio of the same side angles of two parallel lines is 1:14. Find all angles.

1 answer:

5 0

The angles that lie at the same side of parallel lines are known to be always supplement of each other. This means that when we add them together, the value is 180°. If we let x be the common factor for the measures of the angle, the equation that we could use to determine the answer is,

x + 14x = 180°

The value of x from the equation is 12. Hence, the angles are,

x = 12
14(12) = 168

Answer: 12° and 168°

You might be interested in

What is 20% of 180<br>please i realy need to answer this

blagie [28]

Answer:

20 percent * 180 =

(20:100)* 180 =

(20* 180):100 =

3600:100 = 36

Now we have: 20 percent of 180 = 36

Question: What is 20 percent of 180?

Percentage solution with steps:

Step 1: Our output value is 180.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$180=100\%$.

Step 4: Similarly, $x=20\%$.

Step 5: This results in a pair of simple equations:

$180=100\%(1)$.

$x=20\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{180}{x}=\frac{100\%}{20\%}$

Step 7: Again, the reciprocal of both sides gives

Step-by-step explanation:

Hope it is helpful.....

3 0

3 years ago

3. half of 42, increased<br> by 5

OlgaM077 [116]

Answer:

Step-by-step explanation:

Half of 42 is 21.

21 + 5 = 26

Hope this helps you out ; )

3 0

3 years ago

A’s DJ service charges a $200 setup fee and $75 an hour after that.

Bogdan [553]

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

$y=200+75x$ .... (1)

Let Y represent the cost for B's DJ service.

$y=125x$ .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

$125x= 200+75x$

$125x-75x=200$

$50x=200$

$x=4$

$y=125\times 4 =500$

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

$-y = -125x$ .... Equation (3).

Add euation (1) and equation (3)

$y+(-y) = 200+75x-125x$

$0=200-50x$

$50x=200, x=4$

$y=500$

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

$y=200+(75\times 2) = 350$

For x = 2, equation (2)

$y= 125\times 2 =250$

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

$y=200+(75\times 6) =650$

For x= 6, equation (2)

$y=125\times 6=750$

For 6 hours, DJ A would be better option since it charges $650 for 6 hours.

8 0

3 years ago

In the mall 1/15 of the stores sell shoes. There are 180 stores in the mall. How many of the stores sell shoes.

Degger [83]

Answer:

12 stores

Step-by-step explanation:

180 * 1/15 = 180/15 = 12

4 0

3 years ago

Read 2 more answers

Isn’t 3 to the -2 power 9 right?

DaniilM [7]

Answer: No

Step-by-step explanation: If you mean 3^-2 it would be 0.111111111 repeating. 3^2 is 9 not -2

8 0

2 years ago