If m∠TRK equal 32.5°, what is m∠TSK?
The measure of angle TSK is 130°, because it is an inscribed angle that intercepts the same arc as angle TRK, and angle TRK is half the measure of the central angle that intercepts the same arc.
The correct answer is option C.
The center of the circle is S, and the measure of angle TRK is 32.5°. We want to find the measure of angle TSK.
We can use the following theorem to solve this problem:
Inscribed Angle Theorem: An inscribed angle is half the measure of the central angle that intercepts the same arc.
In other words, if an angle is inscribed in a circle and intercepts a certain arc, then the measure of that angle is half the measure of the central angle that intercepts the same arc.
In this problem, angle TRK is an inscribed angle that intercepts arc KT. Therefore, the measure of angle TRK is half the measure of the central angle that intercepts arc KT.
Let's call the central angle that intercepts arc KT θ. Since angle TRK measures 32.5°, we know that θ measures 32.5° * 2 = 65°.
Now, we can use the Inscribed Angle Theorem again to find the measure of angle TSK.
Angle TSK is an inscribed angle that intercepts arc KT, and the measure of the central angle that intercepts arc KT is 65°. Therefore, the measure of angle TSK is half the measure of the central angle that intercepts the same arc, which is 65° * 2 = 130°.
The measure of angle TSK is 130° making option C the correct option.
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The question probable may be:
The center of the circle is S. Note: Figure not drawn to scale. If mangle TRK equal 32.5 ° , what is mangle TSK ? A. 32.5 ° B. 65 ° C. 130 ° D. 16.25 °
He sells packets of sweet-pepper seeds for $2.48 each and packets of hot-pepper seeds for $4.56 each. he also offers a 16-packet mixed pepper assortment combining packets of both types of seeds at $3.65 per paket. how many packets of each type of seed are in the assortment
Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.
From the graph, it is obtained that there is a reflection on the x-axis.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is obtained that, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y).
The new reflected graph's reflection equation will be y=f(x) y = f (x) given an equation of the form y=−f(x) y = − f ( x ). To put it another way, the function may be simply multiplied by 1, which results in a curve that is mirrored across the x-axis.
Thus, from the graph, it is obtained that there is a reflection on the x-axis.
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Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?
a.Thales
b.Pythagoras
c.Euclid
d.Archimedes
e.Hippocrates
Answer:
The correct answer is Euclid.
Step-by-step explanation:
Euclid was a Greek mathematician, who is referred as the father of geometry and founder of geometry.
One of Euclid's most notable work, in the form of 'The Elements' has the strongest fundamental texts on geometry.
Apart from geometry, Euclid also developed many mathematical theories.
8 cakes cost £4.00 how much do three cakes cost
Right triangle ABC is shown.
a to c is 3m
c to b is a
b to a is c and ab is 50 degrees
Which equation can be used to solve for c?
sin(50o) =
sin(50o) =
cos(50o) =
cos(50o) =
Answer:
The required equation which can be used to solve for the value of c is given by :
[tex]\bf\sin 50=\frac{3}{c}[/tex]
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
AC = 3 meter
CB = a meter
BA = c meter
m∠ABC = 50°
Now, to find the value of c.
In right angle triangle right angled at C, we need to find the length of hypotenuse, so using the sine rule in the ΔABC
[tex]\implies \sin\theta=\frac{Perpendicular}{Hypotenuse}\\\\\implies \sin 50=\frac{3}{c}[/tex]
Hence, the required equation which can be used to solve for the value of c is given by :
[tex]\bf\sin 50=\frac{3}{c}[/tex]
Consider the function y = x^2 − 18x. Enter the values for the variables to complete the inverse
Given the equation:
y = x^2 – 18x
Rewrite in vertex form:
y = x^2 – 18x + (18/2)^2 – (18/2)^2
y = (x – 9)^2 – 81
Swap x and y:
x = (y – 9)^2 – 81
Solve for y:
x + 81 = (y – 9)^2
y – 9 = sqrt (x + 81)
y = sqrt (x + 81) + 9
or
y = (x + 81)^(1/2) + 9
A large adult elephant weighs 24,000 pounds. A baby elephant, on the other hand, weighs only 260 pounds. How much more does the adult elephant weigh?
24,000 - 260 = 23,740
23,740 + 260 = 24,000
The adult elephant weighs 23,740 more pounds than the baby elephant.
Renee is a sales associate at a store . She earns 80$ a week plus 15% commission on her sales. Last week she sold 200$ worth of items . What is the total amount she earned for the week? How much did she earn from commission
frank averages one strike for every 4 frames that he bowls. if he bowled 48 strikes in one season how many frames did frank bowl
Which values of x will make the absolute value equation true?
|x – 4| = 7
A.
{–3, 3}
B.
{–3, 11}
C.
{–11, 11}
D.
no solution
Solve the following inequality.
-2/3x>8
A) x < - 4
B) x > - 4
C) x > -12
D) x < -12
A color printer prints 9 pages in 3 minutes. how many minutes does it take per page
Final answer:
To calculate time per page, divide the total printing time by the number of pages. A printer that prints 9 pages in 3 minutes takes approximately 0.333 minutes (or 20 seconds) to print one page.
Explanation:
The question is asking us to calculate the time it takes for a color printer to print one single page. To find this, we need to divide the total time taken to print multiple pages by the number of pages printed. So, if a printer prints 9 pages in 3 minutes, we can calculate the time per page as follows:
First, identify the total time taken for printing multiple pages, which is 3 minutes for 9 pages.
Divide the total minutes by the number of pages to get the time per page. In this instance, it would be 3 minutes ÷ 9 pages.
Perform the division to find the time it takes to print one page. 3 minutes ÷ 9 pages = 0.333... minutes per page.
Therefore, it takes approximately 0.333 minutes (or 20 seconds) for the color printer to print one page.
HELP PLEASE THANKS!!!!!
Help please I don't get it...........
how do you do this system using the equal values method?
4a-3b=21 true or false
if y+1 is an even integer, what is the next consecutive even integer?
The next consecutive even integer will be y + 3
What is Arithmetic Progression?
An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.
The nth term of an AP is given be aₙ = a₁ + ( n - 1 ) d
where a₁ = first term
d = common difference between terms
Given data ,
y + 1 = even integer
The next consecutive even integer can be calculated by adding 2 because the difference between two consecutive even or odd integers is always two.
Therefore , y + 1 + 2 = y + 3
Hence , the next consecutive even integer will be y + 3
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Which line has a slope of 2?
What is the inverse of the following statement? If at first you don’t succeed, try, try again. Select the best answer from the choices provided. If you try, try again, then you did not succeed at first. If at first you succeed, then do not try, try again. If you don’t try, try again, then you succeeded at first. Try, try again if at first you don’t succeed. NextReset
Answer:
Try, Try again if at first you dont
exceed
Step-by-step explanation:
please help with math
Consider the equation 2y−5x=30 . Determine the x-intercept
2 ⋅
−5x=30
−5x=30
=30
x=
The x-intercept for the equation 2y - 5x = 30 is found when y is set to zero and the equation is solved, resulting in the x-intercept being -6.
Explanation:To find the x-intercept of a given equation, you need to set y equal to zero and solve for x. So, for the equation 2y - 5x = 30, you set y = 0 which leads to the adjusted equation of -5x = 30
To isolate x, you should divide both sides of the equation by -5, which gives x = -6. Therefore, the x-intercept of the equation 2y - 5x = 30 is -6.
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In the game Kazoo, teams lose one point each time they skip a turn. They earn one point each time their team guesses correctly. Maria's team skipped 888 turns. They guessed correctly 666 times.
The product of 3 and a number subtracted from 16 is 7. Find the number.
How can you use doubles when multiplying with 4 to find 4x8
A pilot flies 640 miles with a tail wind of 35 miles per hour. Against the wind, he flies only 455 miles in the same amount of time. Find the rate of the plain in still air
z varies directly with x^2 and inversely with y. When x = 2 and y = 4, z = 3. What is the value of z when x = 4 and y = 9?
Evi what to make to pottery she needs 3/5 pounds of clay for one piece and 7/10 Pound of clay for the other piece she has three bags of clay that wiegh 4/5 pound each.how many bags of clay will Eva need to make both pieces of pottery?How many pounds of clay will she have left over ?
Question 2
Find the next term in this arithmetic sequence: 2/3, 2, 3 1/3, ____
4 2/3
3 2/3
4
4 1/3
Find the new amount given the original amount and the percent of change. $5; 10% increase