Answer: No
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Work Shown:
(5 altos)/(4 sopranos) = (15 altos)/(13 sopranos)
5/4 = 15/13
13*5 = 4*15 .... cross multiply
65 = 60
The last equation is false, so the first equation is false
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Alternative ratio
(5 altos)/(15 altos) = (4 sopranos)/(13 sopranos)
5/15 = 4/13
5*13 = 15*4
65 = 60
We end up with the same false equation
The given values are not in the same proportion.
The ratios are not equivalent.
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Yet another way to look at it
Note the jump from 5 altos to 15 altos is "times 3"
So if we started with 4 sopranos, then we must have 4*3 = 12 sopranos as our next count.
If the second line changed "13 sopranos" to "12 sopranos", then we would have equivalent ratios.
Yes, -1/6 is a real number
It is a rational number - it is a fraction or a terminating/repeating decimal if converted to decimal
Only Imaginary are not imaginary numbers, such as i=
Natural- counting numbers (no zero), Whole- no fraction or negatives, Integers- negative, Rational- fraction or terminating/repeating decimals, and Irrational numbers- non repeating decimals: are all real numbers
<u>Quadrilaterals</u> are <em>plane shapes</em> that are <u>bounded</u> by four <u>straight</u> sides. Thus, the required answers to the questions are:
46. True. Other examples include kites, rhombus, etc.
47. False.
46. When a <em>plane shape</em> is <u>bounded</u> by four <u>straight</u> sides of equal or different lengths, it is called a <u>quadrilateral</u>. Examples include trapezium, kite, rhombus, rectangle, square, etc. Each of these examples has individual <u>properties</u>.
Thus the required answer to question 46 is; <u>True</u>. It can be observed that with respect to their <em>individual properties</em>, other <u>quadrilaterals</u> which have a pair of <em>opposite angles</em> to be <u>equal</u> include: kite, rectangle, rhombus, etc.
47. A <em>ray segment</em> is a given <u>line</u> that <u>points</u> or <u>heads</u> in a specific direction. So that the direction in which the ray moves is very<em> important</em>.
Thus in the given question, the <u>required</u> answer is; False. This is because the<u> two</u> given rays are moving in opposite directions. Though the two rays may have the <u>same</u> length of the <u>segment</u>.
For more clarifications on the properties of quadrilaterals, visit: brainly.com/question/21774206
#SPJ 1
1 yard = 3 ft. so 9 ft. walked total.
9ft = 108 inches
108 + 10= 118 in total