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
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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
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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.
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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.I'll give brainiest , 5 stares help
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can some one please help me with thissss if you don't mind
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11x^2 + 35x + 2
Let me know if you want a step by step explanation. Hope this helps!!
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Which relationship is always correct for the angles x, y, and z of triangle ABC?
x + z = y
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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
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.
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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 )
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Let C = 2.32 N + 34180 represent the cost, C, of raising a child to 18 years of age, on an income, N.
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$37,382
$36,991
$36,521
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Answer:
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Step-by-step explanation:
C = 2.32N + 34180
120000 = 2.32N + 34180
85820 = 2.32N
N = 85820/2.32
N = 36991
Answer: $36991
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)
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Step-by-step explanation:
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Step-by-step explanation:
Rule of thumb:
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Answers
9514 1404 393
Answer:
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Step-by-step explanation:
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__
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which logarithmic equation is equivalent to this exponential equation?
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Answer:
A
Step-by-step explanation:
[tex]a^x = b \\log_a(b) = x[/tex]
Question
(01.01 LC)
What should be added to 3 to make the sum 0? (1 point)
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с
0
d
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2011. (2012?- 9).2013
2015. ( 2012-0
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Answer:
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Step-by-step explanation:
2011. (2012 - 9 = 2003). 2013
2015 ( 2012 - 0 = 2012 )
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Please give me brainliest
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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
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Hope it helps...This is My first Answer...Follow me?!
the sum of the areas of all the surfaces of a 3D figure
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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
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Step-by-step explanation:
put some x values into the equation
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3/5 (-2) +2 = 4/5 (-2, 4/5)
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3/5 (2) +2= 3.2 (2, 3.2)
Then plot these on the graph as corodinates with the x values
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the initial amount A is ?
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Answer:
15,000
Step-by-step explanation:
initial amount is basically the starting amount
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Answer:
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Step-by-step explanation:
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Answer:
x=5
Step-by-step explanation:
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