All categories

2 years ago

I) Consider the following figure,

Mathematics

1 answer:

qwelly [4]2 years ago

4 0

Step-by-step explanation:

If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are supplementary.

y + 68° = 180° { being opposite angles of cyclic quadrilateral }

y = 180° - 68°

y = 112°

x + 82° = 180° { being opposite angles of cyclic quadrilateral }

x = 180° - 82°

x = 98°

Hope it will help :)❤

You might be interested in

Please help mepleasssssssseeeeeeeeeeeeeeeeeeeeeeeeeeeeee

jok3333 [9.3K]

Half of the thing is cut off

8 0

3 years ago

Read 2 more answers

Based on the figure below, what is the value of x?

IceJOKER [234]

The value of x = 1

5x + 15 = 20
- 15 -15

5x = 5 ( Divide by 5)

3 0

3 years ago

Find the Unit Rate. The Johnson family traveled 840 miles in 15 hours.

sesenic [268]

Heya!

Here's your answer!!

speed = 56 miles per hour

4 0

3 years ago

The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug

ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

$\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640$

To have a profit of 200, we need to sell:

$-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2} = 60$

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0

3 years ago

What is the value of the expression 2x3y when x= −2 and y = 3?

klemol [59]

I think it’s -36, not 100% sure though

6 0

3 years ago

I) Consider the following figure, ​ ​ ​

I) Consider the following figure,