All categories

2 years ago

QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP

Mathematics

1 answer:

ivann1987 [24]2 years ago

5 0

The required solution is ∠RQT = 202° and ∠QTS = 51°

<h3 />

<h3>What is a cyclic quadrilateral?</h3>

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.

Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.

Now, the given circle has a cyclic quadrilateral QRST in which it is given that ∠RQT = 202° and ∠QRS = 129°

Since,sum of the opposite angles of a cyclic quadrilateral = 180°

⇒∠QTS + ∠QRS = 180°

⇒ ∠QTS + ∠129° = 180°

⇒ ∠QTS = 180° - ∠129°

⇒ ∠QTS = 51°

Hence,the requires angles are ∠RQT = 202° and ∠QTS = 51°.

More about cyclic quadrilateral :

brainly.com/question/14323008

#SPJ1

You might be interested in

Graph the line that passes through the points (6, 4)and (8, 8) and determine the equation of the line.

Lesechka [4]

Wow, what a coincidence, I just learned this at school today!
1. Slope
M= yb-ya/xb-xa
M= 8-4/8-6
M= 4/2
M= 2

2. Y-intercept
Y= mx + b
4 = (2)(6) + b
4 = 12 + b
4 = 12 + b
-12 = - 12 + b
-8 = b

Therefore, the equation is Y = 2x - 8

6 0

3 years ago

Area of a circle is 80 cm². Work out the circumference of the circle.

GuDViN [60]

Answer:

The circumference of circle is: 31.714 cm

Step-by-step explanation:

Let C be the circumference of the circle

And A be the area of circle

It is given that:

$A = 80cm^2$

We have to find the radius first so that it can be used to find the circumference

The area of circle is given by the formula:

$A = \pi r^2$

Putting the value of area

$80 = 3.14 * r^2\\\frac{80}{3.14} = r^2\\r^2 = 25.477$

Taking square root on both sides

$\sqrt{r^2} = \sqrt{25.477..}\\r = 5.0475\ cm$

Now

$C = 2\pi r$

Putting the value of radius

$C = 2 * 3.14 * 5.05\\C = 31.714\ cm$

Hence,

The circumference of circle is: 31.714 cm

3 0

3 years ago

Ivan makes 340 per week. how much would he make per week if he got a 5% raise

lys-0071 [83]

Finde 5%
percent means parts out of 100 so 5%=5/100=1/20
find 1/20 of 340 and add that to 340
'of' in math translates to multiply
1/20 times 340=340/20=34/2=17
add that to 340
340+17=357

he would make 357 a week

7 0

3 years ago

How long must a ladder be to reach to top of a 20 foot wallif the ladder and the top wall form a 32 degree angle at the top. Ro

seraphim [82]

Check the picture below.

make sure your calculator is in Degree mode.