PLEASE HELP!!!
1. In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by the secant, RT, and the tangent segment, TU. You may use words and/or an equation.
(b) Suppose RT = 16 in. and ST = 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.
Answers
Answer:
Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".
Part A
The definition of the Intersecting Secant-Tangent Theorem is:
"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."
This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".
Mathematically, it can be written as:
Part B
It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:
Thus,
Thus the length of TU=6 inches
Related Questions
which logarithmic equation is equivalent to this exponential equation?
Answers
Answer:
A
Step-by-step explanation:
[tex]a^x = b \\log_a(b) = x[/tex]
the number of students enrolled at a college is 15,000 and grows 4% each year
the initial amount A is ?
Answers
Answer:
15,000
Step-by-step explanation:
initial amount is basically the starting amount
Who know the answer of this? And can u pls explain for me?
Answers
Answer:
1.5 kg
Step-by-step explanation:
17*92 g = 1564
1564/1000= 1.564 kg
Answer:
1.75kg
Step-by-step explanation:
If he needs to plant 17 bulbs and he needs 92 grams of soil for each you would multiply both to see how much
17 x 92 = 1564
1564 is more than what the 1.5kg bag would have so it would be the next bigger bag which is 1.75kg
3. The sum of two numbers is 17. The difference between the larger number and the
smaller number is 7. What is the value of the smaller number?
Answers
Answer:
5
Step-by-step explanation:
To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.
x + y = 17
x - y = 7
We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x
2x = 24
x = 12 (Divide both sides by 2)
Now that we know the value of x, we can substitute it into one of our original equations to solve for y.
12 + y = 17
y = 5 (Subtract 12 from both sides)
So, the smaller number is 5.
SUSPECT #077802
MR. MATT A MATTICS
CHARGE: MURDER
Mr. Motties has been a sworn enemy of Mr Boddy ever since they were in Boot Camo (according to him, Me
Boddy put Noir in his shampoo bottle on the night before Mattias received a prestigious award) Moties cims
that he was slipping blue pills into Boddy's vitamin containers. The only problem is. Boddy reported his
Suspicions to his doctor, and his doctor gave him on antidote - small green pilis
The number of blue pills Mr. Motties gave him wos 3 more than the number of green pils Mr Body too. The
total number of green pills and blue pills Mr Boddy took wos 17 pills. He needed to take at least 1 us for
The effects to be deadly
in your core Log, write a system of equations, then solve to find the number of blue pils Mr Body took se
Mattis telling the truth?
Answers
9/10 = d/6.4 what does d equal
Answers
.................
How to simplify 12 to the 0 power
Answers
Answer: 1
Step-by-step explanation:
Rule of thumb:
Anything to the POWER OF 0 will Always be 1
12^0=1
how do I solve this?
Answers
Answer:
v = 22
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BI}{MO}[/tex] = [tex]\frac{BG}{MP}[/tex] , substitute values
[tex]\frac{v}{33}[/tex] = [tex]\frac{64}{96}[/tex] ( cross- multiply )
96v = 2112 ( divide both sides by 96 )
v = 22
can some one please help me with thissss if you don't mind
Answers
11x^2 + 35x + 2
Let me know if you want a step by step explanation. Hope this helps!!
Someone PLEASE HELP
Let C = 2.32 N + 34180 represent the cost, C, of raising a child to 18 years of age, on an income, N.
If the cost is $120,000, what is the income?
$37,382
$36,991
$36,521
$35,856
QUESTION 49 I NEED HELP ASAP
Answers
Answer:
$36991
Step-by-step explanation:
C = 2.32N + 34180
120000 = 2.32N + 34180
85820 = 2.32N
N = 85820/2.32
N = 36991
Answer: $36991
Two angles are a linear pair. The measure of one angle is 5 more than 2/3 of the other. find the measure of both angles
Answers
Answer:
a landowner recently sold a large plot of land the sale decrease of his total lack Courage by 12%
Step-by-step explanation:
a) Find the area of triangles in which
(i) base = 8 cm, height = 5.5 cm
(ii) base = 12 cm, height = 8.4 cm
Answers
Answer:
Step-by-step explanation:
1) B=8cm H=5.5
A=1/2xbxh
A=I/2 x 8 x 5.5
A=22
The area of the first traingle is 22cm
2)
B=12cm h=8.4
A=1/2xbxh
A=1/2 x 12 x 8.4
A=50.4
Hope it helps...This is My first Answer...Follow me?!
The graph shows the volume of oil (L litres) in a tank at time t seconds. a)find the gradient of the graph b)explain what this gradient represents. the graph intersects the volume axis at L=2 c)explain what this value represents
Answers
Answer/Step-by-step explanation:
a. Using two points on the line (0, 2) and (4, 12), find the gradient:
Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5
Gradient = 2.5
b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.
i.e. 2.5 litres per second
c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.
need help with this.
Answers
Step-by-step explanation:
put some x values into the equation
i.e : -2, -1, 0 ,1 ,2
3/5 (-2) +2 = 4/5 (-2, 4/5)
3/5 (-1) +2 = 7/5 (-1, 7/5)
3/5 (0) +2 = 2 (0, 2)
3/5 (1) +2 = 2.6 (1, 2.6)
3/5 (2) +2= 3.2 (2, 3.2)
Then plot these on the graph as corodinates with the x values
How many of the small prisms would it take to completely fill up the larger prism (I need helpppp)
Answers
Answer:
we need the mesurmwnt of the prismms dude
Step-by-step explanation:
Help plsssssssssssss
Answers
Answer:
B
Step-by-step explanation:
The hight compared to the volume should be less hight but more volume
Jason sells semi-trucks at a local truck dealer. He is paid a base pay of $1,000 and 1.5% on his monthly sales. How much will he make if he sells $425,000 worth of trucks this month?
Answers
the sum of the areas of all the surfaces of a 3D figure
Answers
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Surface area is the sum of the areas of all the surfaces of a 3D figure
What is an area?An area is the amount of space occupied by a two dimensional (has length and width) shape or object.
A three dimensional shape is a shape with length, width and height. Surface area is the sum of the areas of all the surfaces of a 3D figure
Find out more on area at: https://brainly.com/question/25292087
Geometry please help-
Find PQ
Answers
Answer:
PQ = 29
Step-by-step explanation:
Lengths of the two tangents from a external point to the circle is equal
14x - 13 = 8x + 5 {add 13 to both sides}
14x = 8x + 5 + 13
14x = 8x + 18
14x - 8x = 18
6x = 18
x = 18/6
x = 3
PQ = 14*3 - 13
= 42 - 13
= 29
Answer:
PQ = 29
Step-by-step explanation:
As we know that,
[tex]\star[/tex] Lengths of two tangents from a external point to the circle is equal.
[tex]\dashrightarrow\bf{14x - 13 = 8x + 5 \: .... \: (Adding \: 13 \: to \: both \: the \: sides)} \\ \\ \dashrightarrow\bf{14x = 8x + 5 + 13} \\ \\ \dashrightarrow\bf{14x = 8x + 18} \\ \\ \dashrightarrow\bf{14 - 8x = 18} \\ \\ \dashrightarrow\bf{6x = 18} \\ \\ \dashrightarrow\bf{\frac{\cancel{18}}{\cancel{6}}} \\ \\ \dashrightarrow\boxed{ \bf \red{x = 3}} \: \bigstar[/tex]We've been asked to find out PQ;
[tex]:\implies\tt{PQ = 14x - 13} \\ \\ :\implies\tt{PQ = 14 \times (3) - 13} \\ \\ :\implies\tt{PQ = 42 - 13} \\ \\ \implies\boxed{ \tt\blue{PQ = 29}} \: \bigstar[/tex]Thus,
The length of PQ is 29..Peter has 288 coins. 25% of these coins are $1 coins. He wants to increase tt
number of $1 coins to 64%. How many more $1 coins must he collect?
Answers
PLEASE HELP ASAP!!
Which relationship is always correct for the angles x, y, and z of triangle ABC?
x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees
Answers
y + z = x
Plz mark me as brainliest
The relationship between the angles of a triangle is y + z = x. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The triangle ABC is shown. The sum of the interior angle of the triangle is 180°. Then the equation is given as,
∠BAC + y + z = 180° ...1
The sum of the interior angle and exterior angle is equal to 180°. Then the equation is given as,
∠BAC + x = 180° ...2
From equations 1 and 2, then we have
∠BAC + y + z = ∠BAC + x
y + z = x
The relationship between the angles of a triangle is y + z = x. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Question
(01.01 LC)
What should be added to 3 to make the sum 0? (1 point)
a
-3
b
-2
с
0
d
3
Answers
I'll give brainiest , 5 stares help
Answers
8 need help asap will give brainly
Answers
Answer:
The answer is D
Step-by-step explanation:
Please give me brainliest
Can someone tell me which ones in first place and which ones in last place?
Answers
convert the following repeating decimal to a fraction in simplest form .53
Answers
9514 1404 393
Answer:
53/99
Step-by-step explanation:
When an n-digit repeat begins at the decimal point, the repeating digits can be placed over an equal number of 9s to make a fraction. Sometimes, that fraction can be reduced to lower terms.
[tex]0.\overline{53}=\boxed{\dfrac{53}{99}}[/tex]
__
If the repeat does not start at the decimal point, the conversion can be done as follows.
For a number x with a decimal fraction that has n digits repeating, multiply by 10^n, subtract x and then divide by (10^n -1).
The fraction will be ...
(x·10^n -x)/(10^n -1) . . . where x has n repeating digits in the decimal fraction
Here, that looks like ...
[tex]x=0.\overline{53}\\100x=53.\overline{53}\\100x-x=53.\overline{53}-0.\overline{53}=53\\99x=53\\x=\dfrac{53}{99}[/tex]
find the value of X please help me its due in an hour !!!
Answers
Answer:
x=5
Step-by-step explanation:
3x+20 = 10x -15 (vert.opp ∠'s equal)
3x - 10x = - 15 - 20
-7x = -35
x= - 35/-7
x= 5
Need help with simple ratio will make brainliest
Answers
2011. (2012?- 9).2013
2015. ( 2012-0
Answers
Answer:
2012 - 9 = 2003
Step-by-step explanation:
2011. (2012 - 9 = 2003). 2013
2015 ( 2012 - 0 = 2012 )
Answer:
8.2013
Step-by-step explanation:
after finding the prime numbers of 13 17 19 identify the median from the options A. 18 B. 17
C. 13
D. 19
Answers
Answer:
B, 17
Step-by-step explanation:
The 17 is the middle number when ordered from least to greatest. Therefore, it is the median.