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
Answer: b
Step-by-step explanation:
Answer:
x²-2x+1
Step-by-step explanation:
(x-1) (x-1)
(x-1)²
(x)²-2(x)(1)+(1)²
x²-2x+1
Answer:
109
Step-by-step explanation:
Formula
<ZHG + <IHZ = <IHG
Givens
<ZHF = 11x - 1
<IHZ = 24
<IHG = 12x + 13
Solution
11x - 1 + 24 = 12x + 13 Combine terms on the left
11x + 23 = 12x + 13 Subtract 13 from both sides
<u> - 13 - 13 </u>
11x + 10 = 12x Subtract 11x from both sides
<u>-11x -11x</u>
10 = x
Answer
11x - 1 = 11*10 - 1 = 110 - 1 = 109
<u> x = 3.5y </u><u>equation shows the number of teaspoons of sugar, y, needed to make </u><u>x tarts.</u>
What is the linear equation in two variable?
Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called linear equation in two variable.
<u>According to the given question</u>
A recipe require 3.5 teaspoons of sugar to make a tart.
y represents the number of teaspoons of sugar.
x represents the number of tarts.
Now, for x tart 3.5y teaspoons of sugar required.
⇒ x = 3.5y
Hence, the linear equation in two variable that shows the number of teaspoons of sugar y, needed to make x number or tarts is x = 3.5y.
Learn more about linear equation in two variable.
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