Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠ ROP? 41
67
113
139
Can someone please explain to me how to do this?

Answers

Answer 1

Answer: We should know that the sum of the interior angles or an irregular polygon must be equal to 360°. For examples, the case of a square: 90° +90°+90°+90°=360°. So in our case, the sum of the angles is Sum=360°= (x+17)°+(2x+9)°+ (6x-5)° + meas OPQ, it implies measOPQ=360°-(x+17)° - (2x+9)° - (6x-5)° =360°-9x -31°=(329-9x)°

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Look at this check register. Calculate the current balance. The current balance is $

Answers

Answer:

The current balance is $33.18.

Step-by-step explanation:

The initial balance is $82.92.

The debt are subtracted from the balance and deposits are add in the balance.

On 5/1 after paying the monthly fee the balance was $82.92.

On 5/3 phone bill of $78.24 is paid, so the remaining balance is,

$B=82.92-78.24=\$ 4.68$

On 5/15 the paycheck of $125.00 is deposited, so the remaining balance is,

$B=4.68+125=\$ 129.68$

On 5/17 withdraw from ATM of $40, so the remaining balance is,

$B=129.68-40=\$ 89.68$

On 5/20 tennis lessons of $56.50 is paid, so the remaining balance is,

$B=89.68-56.50=\$ 33.18$

Therefore, the current balance is $33.18.

Answer:

The current balance is $$ 33.18

Witch expression represents the composition g(f(x)) for the functions below? F(x)=-3x^2 g(x)=3x

Answers

Answer:

$-9x^2$

Step-by-step explanation:

Composition of two functions can be obtained by replacing inner function in place of x of outer function and then plugging back the actual value of inner function f(x) and then simplifying it gives g(f(x)) which is usually called gof(x) .

f(x) = - $-3x^2$

g(x) = 3x

g(f(x) ) = 3 f(x)

=3 ( $-3x^2$ )

= $-9x^2$

Answer:

-9x²

Step-by-step explanation:

We have given two functions.

We have to find their composition.

f(x) = -3x² and g(x) = 3x

(gof)(x) = g(f(x)) = ?

Firstly , we have to put the value of f(x) in g(f(x)).

Putting given values, we have

g(f(x)) = g(-3x²)

g(f(x)) = 3(-3x²)

g(f(x)) = -9x² which is the answer.

Carla and Frank can each wash a car and clean the interior in 2 hours, but Missy needs 3 hours to do the work. If the three work together, how long will it take to clean 7 cars?

Answers

Remark

Start by figuring this out for 1 car. Worry about the 7 part when you find 1.

This problem is used quite frequently in physics. For example resistors in parallel use the same equation.

Formula

1/frank + 1/carla + 1/missy = 1/ time taken to do 1 mar.

Givens

Frank = 2 hours

Carla = 2 hours

Missy = 3 hours.

Substitute and Solve

1/2 + 1/2 + 1/3 = 1/Three_together.

3/6 + 3/6 + 2/6 = 1/Three_together.

8/6 = 1/Three_together. Cross multiply

8 * Three_Together = 6*1

8 * Three_Together = 6 Divide by 8

Three_Together = 6/8 = 3/4 = 0.75 hours. or 45 minutes for 1 car

Seven Cars

For 7 cars multiply 0.75 by 7

7 * 0.75 = 5.25 hours. <<<< Answer

What is one and a half days equal to

Answers

It will equal a 24 hours and 12 hours

It is 3/2 idk if you are looking for a fraction or not

Bradley dropped a ball from a roof 16feet high. Each time the ball hits the ground it bounces 3/5 the previous height. Find the height ball will bounce after hitting the ground the fourth time