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Mama L [17]
2 years ago
6

Divide 54 into two parts so that four times the greater equals five time the less​

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
5 0
Let the both the parts be 'x' and 'y'
x>y
We know that 4x = 5y
so x = 5y/4
x + y = 54
Replacing x we get
(5y/4) + y = 54
(5y +4y)/4 = 54
9y = 216
y = 24
Replacing y in ' x+y = 54'
we get x = 30

Hence the larger part is 30 whereas the smaller part is 24
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4. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
artcher [175]

<span>Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.</span>

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<span>A. The statement is not reversible.   </span>

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<span>C. Yes; if two lines are perpendicular, then they intersect at right angles.   </span>

<span>D. Yes; two lines intersect at right angles if (and only if) they are perpendicular.</span>



Your Answer would be (D)

<span>Yes; two lines intersect at right angles if (and only if) they are perpendicular.


</span><span>REF:    2-3 Biconditionals and Definitions</span>
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Plz help!!<br> Consider the given right triangle.
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Answer:

b = 8

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Step-by-step explanation:

From the given right triangle,

a = 8\sqrt{3}, m(∠B) = 30°

By applying sine rule in the given triangle,

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cos(B) = \frac{BC}{AB}

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