What is the domain of the given fiction please help asap
2 answers:
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Answer:
a) x = 30°
b) mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Question:
The complete question as found on Chegg website:
In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs
intercepted have the following ratio of measurements:
mRS : mST :MTU : mUR=1:4:4:3
(a) If mRS = x, then write an equation that could be used to solve for x
and find the value of x.
(b) State the measure of each of the four arcs.
mRS =
mST =
MTU
MUR =
Step-by-step explanation:
Find attached the diagram related to the question
mRS : mST : mTU : mUR = 1:4:4:3
Since mRS = x
Writing the ratios of the measure of angle in terms of mRS:
mST = 4× mRS = 4×x = 4x
mTU = 4× mRS = 4×x = 4x
mUR= 3× mRS = 3×x = 3x
The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)
mRS + mST + mTU + mUR = 360°
x + 4x + 4x + 3x = 360
12x = 360
x = 360/12
x = 30°
b) The measure of angle
mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
<em>EXPLANATION:</em>
Classification of numbers according to the Venn diagram:
<em>Rational numbers:</em>
These numbers are represented by a fraction a / b, where a and b are integers and also b is different from zero.
<em>Whole numbers</em><em>:</em>
An integer is a natural number that can be positive or negative.
<em>Natural numbers:</em>
Natural numbers are those that start at zero to infinity are clearly positive.
<em>Rational numbers:</em>
When taking the square root of 8, 36 and 4 the result is an exact value that is why they are considered as rational numbers.
<em>Irrational Numbers:</em>
When the root of a number is not exact but is expressed as an infinite decimal as in the case of the square root of 140 which is 11.83215956619; this is an irrational number, also this result cannot be expressed as a fraction.
