All categories

2 years ago

Quadrilateral ABCD is inscribed in circle as shown. What is the value of y?

Mathematics

1 answer:

julsineya [31]2 years ago

7 0

The value of y is 83 degrees because any quadrilaterals opposite sides or angles are equal and opposite (or diagonal) from point D.

Hope this helps !

You might be interested in

A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500

Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking, $\frac{d(w)}{dt}$ = 3 ft/sec

Rate at which the man is walking, $\frac{d(m)}{dt}$ = 2 ft/sec

Collective rate of both, $\frac{d(m+w)}{dt}$ = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min

Now,

Distance traveled by man and woman are $m$ and $w$ ft respectively.

⇒ $m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft$

⇒ $w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\ ft$

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate $\frac{dh}{dt}$ .

Lets calculate h.

Applying Pythagoras formula.

⇒ $h^2=(m+w)^2+500^2$

⇒ $h=\sqrt{(2400+2700)^2+500^2} = 5124.45$

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ $h^2=(m+w)^2+500^2$

⇒ $2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt} + \frac{d(500)}{dt}$

⇒ $\frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}$ ...as $\frac{d(500)}{dt}= 0$

⇒ Plugging the values.

⇒ $\frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}$ ...as $\frac{d(m+w)}{dt} = 5$ ft/sec

⇒ $\frac{d(h)}{dt} =4.9761$ ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0

3 years ago

Can you help me because I’m stuck!

oee [108]

Answer:

u is (0,2.3) v is (-2,1.1) w is( -4,-1) x is (2.5,0) Y is (2,-1.5) Z (-1.5,-3)

Step-by-step explanation:

you start with the x axes then follow with the y

6 0

2 years ago

For each fraction, decimal, or percent, write the equivalent number from the list below. 0.68, 19/50, 9/20, 80%, 0.54. A. 38% __

ICE Princess25 [194]

Answer:

0.45=9/20
27/50=0.54
4/5=80
17/25=0.68
38%=19/50

Step-by-step explanation:

7 0

1 year ago

Northridge Middle School collected 5022 cans of food for a food drive. Each of 18 homerooms collected the same number of cans. A

taurus [48]

Answer:

Step-by-step explanation:

Divide the total number of cans (5022) by the number of homerooms (18) to get the number of cans collected by each homeroom:

5022 cans

---------------------- = 279 cans per homeroom

18 homerooms

5 0

3 years ago

Can Sombody help me fast will mark brainliest

densk [106]

Answer:

2950

Step-by-step explanation:

3 0

2 years ago