Find the measure of line segment TU. Assume that lines which appear to be tangent to the circle are tangent.
A)
14
B)
16
18
D)
20
Answers
Given:
A figure of a circle. A secant SU and a tangent SR is drawn to the circle from the external point S.
To find:
The measure of the line segment TU.
Solution:
According to the secant tangent segment theorem, the square of tangent is equal to the product of secant and external segment of the secant.
Using secant tangent segment theorem, we get
[tex]SR^2=SU\times ST[/tex]
[tex](40)^2=(32+2x-2)\times (32)[/tex]
[tex]1600=(30+2x)(32)[/tex]
[tex]1600=960+64x[/tex]
Subtract both sides by 960.
[tex]1600-960=64x[/tex]
[tex]640=64x[/tex]
Divide both sides by 64.
[tex]\dfrac{640}{64}=x[/tex]
[tex]10=x[/tex]
Now, the measure of the line segment TU is:
[tex]TU=2x-2[/tex]
[tex]TU=2(10)-2[/tex]
[tex]TU=20-2[/tex]
[tex]TU=18[/tex]
Therefore, the correct option is C.
Related Questions
Val had 2 1/2 hours to finish a slide presentation. It takes her 1/6 hour to create each slide. Will Val have enough time to create 12 slides? Explain ur reasoning
Answers
will she have enough time for 12 slides? we dunno, but we know it takes 1/6 hour to make one hmmm for 12 slides that'd be simply their product
[tex]\stackrel{slides}{12}\cdot \stackrel{\textit{it takes one}}{\cfrac{1}{6}}\implies \cfrac{12}{6}\implies 2~hours\qquad \textit{yeap, she has enough time}[/tex]
she even has an extra 30 minutes to check out what's for dinner.
Which statement correctly compares the centers of the distributions?
Answers
Answer:
B
Step-by-step explanation:
Center of the distributions -> mean/median (preferably mean)
The option with range is eliminated
Median might not be accurate as median is the center person, not the center result.
Based on the graphs, identify the graph with the intervals of greatest frequency.
For North Heights -> between 30 and 32 (right-skewed, some higher values)
For Southview -> between 28 and 30 (most concentrated there)
Hence, mean of Southview is lower than North Heights.
The probability that a newborn baby at a certain hospital is male is 50%. Find the probability that 7 or 8 out of 10 babies born in the hospital on any day are male. Write your answer rounded to the nearest hundredth if needed.
Answers
Answer:
0.1611
Step-by-step explanation:
Uaing the binomial probability relation :
p = 0.5 ; q = 1 - p = 0.5
n = 10
Using the relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 7) = 10C7 * 0.5^7 * 0.5^3
P(x = 7) = 0.1172
x = 8 ;
P(x = 8) = 10C7 * 0.5^7 * 0.5^3
P(x =8) = 0.0439
P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611
an open concrete tank is internally 1m wide, 2m long and 1.5m deep, the concrete being 10cm thick. Calculate the capacity of the tank in litres
Answers
The capacity of the tank is 3000 liters
Calculations and ParametersWe would first find the volume of concrete:
(0.1*1.5*1*2)+(0.1*1.5*2(0.1*2))*2)+(0.1*1.2*2.2)
=0.3+0.66+0.264
=[tex]1.224 m^3[/tex] of concrete
The capacity of the tank in liters:
1x2x1.5
=[tex]3m^3[/tex] or 3000 liters
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Mark has twice as much money as Tamassa. Together they have $630. How much money does Mark have
Answers
Answer:
472
Step-by-step explanation:
630/2= 315 (shared equally)
But 315/2= 157.5
315+157.5= 472.5 (mark)
472.5/2= 157.5
Mark has $472.5
Tamassa has 157.5
All together (472.5+157.5) = $630
Solve for each variable.
Explain how as well please
I will give brainlist if you give me an answer and not a link or something weird
Answers
Answer:
a = 38⁰
b = 54⁰
c = 54⁰
Step-by-step explanation:
a + 142⁰ = 180⁰ because a straight line = 180⁰
b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a
c + 88⁰ = 142⁰ because the angles are corresponding angles
1 yard in 6 minutes
Question 1
Part A
Find the unit rate.
Enter the correct answer in the box.
Answers
Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet
Step-by-step explanation:
1 / 6 = 0.166666667 yards
1 yard = 0.9144 meters
0.9144 / 6 = 0.1524 meters
1 yard = 3 feet
3 / 6 = 0.5 feet
Helpppp
Due
Rn
Will give brainlist
Answers
Answer:
8ft. 9in.
+13ft. 7in.
_________
22ft. 4in.
because 12 in.= 1 ft. so 9+7=16
16-12=4
so 12in.=1 ft. , as 12 in, got carried by 1ft.
i need help, i do not understand, this is pythagorean theorem
Answers
Answer:
11.2
Step-by-step explanation:
First draw an imaginary straight line to separate the two shapes.
You will have a side of 10 in the traingle
And a side of 13 - 8 =5
Then
Using pythagoras theorem
Sqrt(10^2+5^2)=11.180
A manufacturer produces safety jackets for competitive fencers. These jackets are rated by the minimum force, in newtons, that will allow a weapon to pierce the jacket. When the production process is operating correctly, it produces jackets that have ratings with an average of 840 newtons and a standard deviation of 14 newtons.FIE, the international governing body for fencing, requires jackets to be rated at a minimum of 825 newtons.To check if the process is operating correctly, a manager takes a random sample of 49 jackets from the process, rates them, and calculates the mean rating for jackets in the sample, which turns out to be 830 newtons. She is confident that the standard deviation of the process is at the specified value of 14 newtons.What is the p-value of the appropriate test if she wants to check if the production process currently meets the FIE standards
Answers
Answer:
0
Step-by-step explanation:
H0 : μ = 840
H1 : μ < 840
Sample size, n = 49
Standard deviation, s = 14
Test statistic = (xbar - μ) ÷ (s/√(n))
Test statistic = (830 - 840) ÷ (14/7)
Test statistic = - 10 / 2
Test statistic = - 5
The Pvalue ;
Pvalue = P(Z < - 5) = 0 (Z probability calculator)
The Pvalue = 0
A line passes through the points (-2, 9) and (1, 3).
Click “show your work” and provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form. Please write your answers on the lines provided in the whiteboard.
Answers
The equation of the line passing through the points (-2,9) and (1,3) is
y = -2x + 11 where the slope is -2 and the y-intercept is +11
What is the Equation of a Line?The equation of a line can be formed with the help of the slope of the line and a point on the line. The slope of the line is the inclination of the line with the positive x-axis and is expressed as a numeric integer, fraction, or the tangent of the angle it makes with the positive x-axis. The point refers to a point in the coordinate system with the x coordinate and the y coordinate.
m = (y2 - y1) / (x2 - x1)
y1 = 9
y2 = 3
x1 = -2
x2 = 1
m = (3 - 9) / (1 - (-2))
m = - 6 / 3
m = - 2
The equation of the line;
m = (y - y1) / (x - x1)
-2 = y - 9 / x - 1
y - 9 = -2(x - 1)
y - 9 = -2x + 2
y = -2x + 11
Therefore the y-intercept is +11.
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1: Find the total cost of 25 pens and 75 books
if each pen costs GH¢0.20 and each book
costs GH¢0.30.
ITI
Answers
Answer:
0.2 x 25 = 5
0.3 x 75=22.5
22.5+5=27.5
Step-by-step explanation:
Rosa Bought some place mats costing $17.16 and some napkin ring’s costing $10.36.If there were 4 place mats and 4 napkin ring’s what was the total cost for 1 place mat and 1 napkin ring?
Brian is trying to lose at least 2 pounds a week by eating less and walking 2 miles each day. For the past 3 weeks,he lost 2.4 pounds,1.9,and 3.2 pounds. what was the average number of pounds he lost?
Can someone answer these?
Answers
9514 1404 393
Answer:
$6.882.5 poundsStep-by-step explanation:
1. In this case, it appears that "some" means "4". The total cost of 4 place mats and 4 napkin rings is apparently ...
$17.16 +10.36 = $27.52
Then the total cost of 1 of each is 1/4 this amount, or ...
$27.52/4 = $6.88
__
2. The average of three numbers is their sum, divided by 3.
(2.4 + 1.9 + 3.2)/3 = 7.5/3 = 2.5
Brian lost an average of 2.5 pounds per week.
60, 80, 100
Right traingle
Answers
Find the value of each variable for each circle. Show your work
Answers
The values of the variables in the circles are
Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degreesHow to determine the values of the variables in the circles?From the question, we have the following parameters that can be used in our computation:
Circles and missing angles (see attachment for the figures)
Circle 1
To determine the unknown variable (a), we make use of the following theorem
The angle subtended by an arc at the circumference is twice the angle subtended at the circumference
Mathematically, this means that
a = 2 * 17 degrees
Evaluate the product
a = 34 degrees
Circle 2
To determine the unknown variable (a), we make use of the following theorem
The angle at the circumference in a semicircle is 90 degrees.
Mathematically, this means that
b = 90 degrees
Also, we have
a + 122 degrees = 180 degrees
Evaluate
a = 58 degrees
Using the theorem in (a), we have
b + a/2 + c = 180
This gives
90 + 58/2 + c = 180
Evaluate the like terms
c = 61 degrees
Hence, the angle c is 61 degrees
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The perimeter of a rectangle is 408cm and the length is 134cm. Find the rectangle’s width.
Answers
Answer: 70 cm
Step-by-step explanation: perimeter = 2*width + 2*length
408 = 2*width + 2*134
408 = 2*width + 268
Subtract 268 from both sides.
140 = 2*width
DIvide both sides by 2
Width = 70 cm
Answer:
The width of the rectangle is 70 cm
Step-by-step explanation:
Given,
The perimeter of a rectangle is 408 cmThe length is given as 134 cmTo Find : The width of the rectangle
As we know, the formula to find the Perimeter of the rectangle is
[tex]P = 2(l+b)[/tex]
Now the Perimeter is given and the length
[tex]408 = 2(134 + b)[/tex]
Now using distributive property
[tex]408 = 268 + 2b[/tex]
[tex]408 - 268 = 2b[/tex]
[tex]140 = 2b[/tex]
[tex]\frac{140}{2} = b[/tex]
[tex]70cm = b[/tex]
Hence, the width of the rectangle is 70 cm
Help on #8 only please thank you !
Answers
P
Jimmy tried to solve the system of equations below, but he made an error
S 2.0
y=18
y= 40 +2
His work is shown. Find the error he made. Explain the error and show how to solve the sysm correctly.
1. 2.0 - 4.3 + 2 = 18
2.-2x = 16
3. = -8
4. y=4(-8) + 2
5. Y = -32 +2
6. y=-30
7. Check: 2 (-8) - (-30) = 18
8.
- 16 + 30 = 18
9 14 + 18
His mistake was on Line
because he should have
The correct solution is
Answers
Answer:
"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."
The correct solution is: x = -10, y = -38
Step-by-step explanation:
2x - y = 18
y = 4x + 2
Substitute the given value for y into the first equation:
2x - (4x + 2) = 18
2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y
-2x -2 = 18
add 2 to both sides
-2x = 20
divide by -2
x = -10
-------------------
solve for y
y = 4x + 2
y = 4(-10) + 2
y = -40 + 2
y = -38
------------------
Check the math:
2x - y = 18
2(-10) - (-38) = - 20 + 38 = 18
Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa. how many dvds does marissa own?
Answers
The number of Dvds owned by Maarissa is 45
How to find the number of dvds?The given parameters that will guide us in finding the number of dvds owned by marissa are
Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa.
Let the number of dvds owned by Marissa be x
Nymber of dvds owned by Kyle be y
This implies that x+y = 66 ............................1
also, 2y + 3 = x ..................................................2
Substitute x = 2y + 3 in equation 1
= 2y + 3+y =66 Collecting like terms
⇒ 3y = 63
Making y the subject of the relation we have y=21
Recall that 2y + 3 = x
That means x = 2(21) + 3
x=45
Therefore Marrissa owns 45 dvds
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Find mZRTS.
R
112°
S
T
Answers
Answer:
RTS=(180-112)/2
=68/2
=34
Please help no links look at picture ^^
Answers
Answer:
i cant see it
Step-by-step explanation:
Where is the graph of f(x)= 4LX-3]+ 2 discontinuous?
all real numbers
all integers
only at multiples of 3
only at multiples of 4
Answers
Answer:B all integers
Step-by-step explanation: took the test
The option second all integers are correct because for every value of the x the function will always give an integer value.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function
f(x)= 4[X-3]+ 2
f(x) represents the greatest integer function, which means for every value of the x the function will always give an integer value.
The function will be discontinuous for all integers.
Thus, the option second all integers are correct because for every value of the x the function will always give an integer value.
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which products are purchased only after customer have compared a variety of similar and competitive products
Answers
1. Find the focus of the parabola that has vertex (-7, 2), opens vertically, and passes through the point (-5,0).
Answers
evaluate: a+b/c if a = -6,b = -4 and c= -2
Answers
Answer:
5
Step-by-step explanation:
-6+(-4)/-2
-6-4/-2
-10/-2
5
Two functions are shown below.
f(x) = 3x2 + 14x - 5
g(x) = 11x + 13
Select (click) the points at which the graphs of the two functions intersect.
(5,0)
(-3, -20)
(2, 35)
(6, 79)
Answers
Answer: (-3,20) (2,35)
Step-by-step explanation: well if the 2 is an exponent then this is the answer, I don’t know the step by step though sorry. <3
help me pls the question is in the picture
Answers
Answer:
x would be 18
Step-by-step explanation:
180 degrees in a traingle, subtract 90 for the right angle and then you are left with 5x = 90
x = 90/5
x = 18
find each angle using x from here
Answer:
Angle T is 36 degrees
Angle V is 54 degrees
Step-by-step explanation:
x=18
PLEASE HELP ASAP DUE TODAY
Answers
Answer:
y = -3/4x + 52
y + 6 = -3/4(x-8)
Step-by-step explanation:
y = mx + c
as long as the number is -3/4x , it represents slope -3/
Answer:
B. y = -3/4x + 52, C. y + 6 = -3/4(x - 8), and F. 3x + 4y = 9
Step-by-step explanation:
A. -3x + 4y = -34
y = 3/4x - 17/2
Slope = 3/4
INCORRECT
B. y = -3/4x + 52
Slope = -3/4
CORRECT
C. y + 6 = -3/4(x - 8)
y = -3/4x
Slope = -3/4
CORRECT
D. 4x + 3y = -22
y = -4/3x - 22/3
Slope = -4/3
INCORRECT
E. 4x - 3y = 48
y = 4/3x - 16
Slope = 4/3
INCORRECT
F. 3x + 4y = 9
y = -3/4x + 9/4
Slope = -3/4
CORRECT
G. y - 6 = 3/4(x - 8)
y = 3/4x
Slope = 3/4
INCORRECT
A triangle has sides with lengths 8, 15, and 17. approximate the acute angles in this triangle to the nearest degree and list in ascending order
Answers
Answer:
28°, 62°
Step-by-step explanation:
As 8,15,17 is a Pythagorean Triple, the triangle must be a right triangle. Hence, we can use our common trig ratios to solve the problem. Let's assume our right triangle has a base of 8, a height of 15, and a hypotenuse of 17.
Here are all the acute angles in order:
[tex]\cos^{-1}(\frac{15}{17})\approx28^\circ[/tex]
[tex]\sin^{-1}(\frac{15}{17})\approx62^\circ[/tex]
On Wednesday, Isonil earned $21.00 for 3 hours of babysitting. On saturday, she babysat of the same family and earned $56.00. How many hours did she babysit for on saturday? Explain how you determined your answer. (Hint: Think about how much Isonil charge per hour for babysitting.)
Please helppp
Answers
Answer:
8 hours
Step-by-step explanation:
21/3=7 and 56/7=8
Answer:
She worked for 8 hours
Step-by-step explanation:
She earned $21 for 3 hours 21 divided by 3 is 7 so $7 an hour. She made $56 so 56 divided by 7 = 8 hours