Answers
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.
Related Questions
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?
Answers
Answer:
Minute hand = 3.98 feet
Step-by-step explanation:
Circumference of a circle can be calculated by
C = 2 x pi x radius
The minute hand extends from center to the edge means that minute hand is the radius and that is required.
putting values in above equation
C = 25 and pi = 3.14
25 = 2 x 3.14 x radius
radius = 25 / 6.28
Radius = 3.98 feet
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?
Answers
Answer:
7/11 if its not that then its 64% Hope this helps!
Step-by-step explanation:
Since there are 11 letters in the word mathematics, and 7 consonants, you have the fraction 7/11. however, if it's required as a percentage, We know that
7/11
is the same as
7÷11
Then using
Long Division for 7 divided by 11
gives us
0.636
Converting our number to a percentage:
0.636×100
is 64% rounded to the nearest 10. Rounding to the nearest hundredth, you'd get 63.64%
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?
Answers
a single distinct meaningful element of speech or writing, used with others (or sometimes alone) to form a sentence and typically shown with a space on either side when written or printed.
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
Answers
Answer:
ri1/2 you should mark the other person brainliest
Step-by-step explanation:
The image of the point ( 4 , 5 ) by translation ( 0 , -4 ) is
Answers
9514 1404 393
Answer:
P'(4, 1)
Step-by-step explanation:
Add the translation values to the point coordinates.
P(4, 5) ⇒ P'(4 +0, 5+(-4)) = P'(4, 1)
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
Answers
Answer:
i think its c too i mean it looks like you picked c too
Step-by-step explanation:
lol
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?
Answers
Answer:
the interest earned amount is $1,114.251
Step-by-step explanation:
The computation of the interest earned is shown below:
But before that the future value is
= Present value × (1 + rate of interest)^number of years
= $7,250 × (1 + 0.10)^1.5
= $7,250 × 1.10^1.5
= $8,634.251
Now the interets earned is
= $8,634.251 - $7,250
= $1,114.251
Hence, the interest earned amount is $1,114.251
Please help me answer
Answers
Answer:
C
Step-by-step explanation:
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?
Answers
Answer: she is correct
Step-by-step explanation:
35% in decimal form is 3.50
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.
Answers
Answer:
No It Is Not A Triangle
Step-by-step explanation:
To be a triangle the 2 shorter sides have to add up greater than the longest side, 1.4+1.8=3.2 which is not grater than 4.5
What are the solutions to this equation?
7.
D
17
-1
There are no solutions.
Answers
Answer:
Whats the equation?
Step-by-step explanation:
If you attach a pic maybe I can help!
The area of a rectangle is x2 - 5x – 36. What is the length and width?
Answers
Answer:
[tex](x-9)(x+4)[/tex]
Step-by-step explanation:
We can solve this by factoring [tex]x^2 -5x -36 = (x-9)(x+4)[/tex]
This gives us our two sides because length and width multiplied will give us the area
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?
Answers
360-45 is 315
Answer is £315
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?
Answers
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.
Answers
this is bc 62+18=80
how to solve
1. subtract 80 from both sides
you should be left with
x=100
Find the missing side of the triangle:
8cm, 7cm, _____
A. 20cm
B. 15cm
C. 12cm,
D. 25cm
Answers
Answer:A triangle is a polygon which has three sides and can be categorized into the follow ... sides of the triangle, and s = ½ (a + b + c) is the semi-perimeter of the triangle. ... Example 1: Find the area of a triangle whose base is 14 cm and height is 10 cm. ... a = 5cm and b = 7cm. C = 45o. Solution: Area of a triangle = ½ · a · b · sinC.
Step-by-step explanation:
What is the value expression?
-9 x 2.2
Answers
Answer:
-19.8
Step-by-step explanation:
Answer:
-19.8
Step-by-step explanation:
Name four things that you can find on both a dot plot and box plot.
Answers
Answer:Dots, Lines, Box's, and Circles.
Step-by-step explanation: You're welcome
4 divided by 5/9 = easy question big points lol
Answers
Answer:
7 1/5 or 7.2
Step-by-step explanation:
Thx for points
Evaluate 5c – 3d + 11 when c= 7 and d= 8.
Answers
answer: aiuaejaeijaeokjaea;ij;eoiroier;iijw;ije;ipjeja;eoijie;iw
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Substitute the values
5(7) - 3(8) + 11
35 - 24 + 11
11 + 11
22
(-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) =
Answers
Answer:
(-15)-(-3) = -12
(1-7)+(+5) = -1
(+5) x ( +6 ) = 30x
(+18 ) + ( +6) 24
(9)+( 8 ) = 17
(+10)-(+1) = 9
( +4 ) x ( 3 ) = 12x
( 12 ) + ( +4 ) = 16
(+6) + (6) 12
(+11)-(7) = 4
(-8) x ( +2 ) = -16x
(+15) + ( 3 ) = 18
(*12 ) + ( 4) = 4
(8) - ( +2) = 6
(-7) x ( -5 ) = 35x
HOPE THIS HELPS : D I TOOK A LOT OF WORK ON THIS <3
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
Answers
A (2, -5)
B (5, -2)
C (4, 3)
Explanation:
When reflecting over y=x, the points change flip spots.
Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8? (1, 3) (3, 1) (–4, 2) (2, –4)
Answers
Eva buys online tickets to a play for her family. Each ticket costs $45.00 and there is a fee of $17.99
Answers
Answer:
$62.99
Step-by-step explanation:
Given data
Cost of ticket= $45.00
Fee= $17.99
Hence the expected amount she is to pay, that is the total cost of the ticket is
=45.00+17.99
=$62.99
In figure find the value of x triangle PQR
20 POINTSSSS
Answers
X=46.6
Angle PQR= 93.2°
WHY:
You already entered x value and you just have to times it by two
MARK ME BRAINLIEST PLEASE
help please I don't understand
Answers
PLEASE HELP MATH 10+ POINTS PLEASE
Answers
Answer:
749
Step-by-step explanation:
8349
Answer:
80
Step-by-step explanation:
Find the measure of angle 1
Answers
Answer:28
Step-by-step explanation:
Step By Step Explanationm
check out this cube find the surface area of the cube above its net below
Answers
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.
Answers
2012-2021 is 9 years
540x9 is $4860
$4,500 - $4,860 is is $-360
The answer is -$360