Find the value of x.

Given:

A figure of a circle and inscribed quadrilateral JKLM.

[tex]m\angle M=47^\circ,\angle K=(7x+21)^\circ[/tex]

To find:

The value of x.

Solution:

The inscribed quadrilateral JKLM in the circle I is a cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles.

Angle M and angle K are opposite angles of a cyclic quadrilateral, it means they are supplementary angles and their sum is 180 degrees.

[tex]m\angle M+m\angle K=180^\circ[/tex]

[tex]47^\circ+(7x+21)^\circ=180^\circ[/tex]

[tex](7x+68)^\circ=180^\circ[/tex]

[tex](7x+68)=180[/tex]

Isolate the variable x.

[tex]7x=180-68[/tex]

[tex]7x=112[/tex]

[tex]x=\dfrac{112}{7}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.

The area of a rectangle is x2 - 5x – 36. What is the length and width?​

Kirsty bought a new TV. The total cost of the TV was £360, in the sale it has 12.5% discount. What is the new price of the TV?

What are the solutions to this equation?
7.
D
17
-1
There are no solutions.

Reflect triangle ABC over y=x the coordinates for A are (-5,2) B is (-2,5) C is (3,4) so reflect the over y=x pls help me

In figure find the value of x triangle PQR

20 POINTSSSS

help please I don't understand​

3
Sarah earns 6 hours of computer time when she completes all her homework for the week.
Next year, her computer time will be raised by 40%. What is the new total amount of time
Sarah can earn next year when she completes all of her homework for the week?
A. 3 hours and 36 minutes
B. 6 hours and 9 minutes
OC. 8 hours and 24 minutes
D. 8 hours and 40 minutes

Do these three sides make a triangle? Is it unique? 1.4 miles, 1.8 miles, and 4.5 miles

Yes, it is a triangle and it is unique.

Yes, it is a triangle, but it is not unique.

No, it does not make a triangle.​

Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8? (1, 3) (3, 1) (–4, 2) (2, –4)

check out this cube find the surface area of the cube above its net below​

The image of the point ( 4 , 5 ) by translation ( 0 , -4 ) is

Find the measure of angle 1

PLEASE HELP MATH 10+ POINTS PLEASE

Each card in a set of cards has one of the letters adventures. The cards are shuffled what is the probability of drawing a vowel?

a fair number cube with faces numbered 1 through 6 was rolled 12 times the cube landed with the number to face up six times what is the difference between the experiment probability and the theorical probability of the number two landing face up


1/3


1/2


1/6


2/3​

Evaluate 5c – 3d + 11 when c= 7 and d= 8.

Name four things that you can find on both a dot plot and box plot.

Please help me answer

(-15)-(-3) =
(1-7)+(+5) =
(+5) x ( +6 ) =
(+18 ) + ( +6)
(9)+( 8 ) =
(+10)-(+1) =
( +4 ) x ( 3 ) =
( 12 ) + ( +4 ) =
(+6) + (6)
(+11)-(7) =
(-8) x ( +2 ) =
(+15) + ( 3 ) =
(*12 ) + ( 4) =
(8) - ( +2) =
(-7) x ( -5 ) =
(-10 ) = (-2) =

4 divided by 5/9 = easy question big points lol

Samir buys T-Shirts for $10 each and markups the price by 35%. Samira claims that Samir has to mark each shirt up by $3.50.


Is she correct?

A baseball player hits a ball towards a 20-foot wall 400 feet away. The path of the ball is modeled by the function, f(x)=-0.002(x-220)^2 +86, where x is the distance of the ball from the batter and f(x) is the height of the ball.

Based upon the function, f(x), what is the maximum height of the ball will reach?

At how many feet from the batter will the ball be at its maximum height?

Will the ball clear the wall?

What is the value expression?
-9 x 2.2

1. The sum of the angles of a triangle are equal to 180 degrees. One angle measure is 18 degrees, the second angle measure is 62 degrees, and the third angle measure is x.

Write the equation that can be used to solve for x.​

jimmy bought a car in 2012 for $4,500. The car decreases by 12% of its value each year. How much will the car be worth in
2021?
what’s the function.

A large clock on a county courthouse has a circumference of about 25 feet. The minute hand extends from the center of the clock to the edge of the clock. How long is the minute hand?

Cory sold 80 cheese burgers at his restaurant on Monday. Each cheese burger was topped with one type of cheese.

18 of the burgers had cheddar cheese
25 of the burgers had provolone cheese
110 of the burgers had Pepper Jack
The rest had Swiss cheese
How many of the burgers were topped with Swiss cheese?

Eva buys online tickets to a play for her family. Each ticket costs $45.00 and there is a fee of $17.99

Kaitlyn opens an account with an initial deposit of $7,250. The account earns 10% interest compounded annually. What is the amount of interest earned after 18 months if no additional money is deposited or withdrawn?

Find the missing side of the triangle:

8cm, 7cm, _____


A. 20cm
B. 15cm
C. 12cm,
D. 25cm