Answer:
168.
Step-by-step explanation:
H.C.F. = 6 = 2 by 3.
L.C.M. = 280 = 2^3 by 5 by 7.
30 = 2 by 3 by 5.
x = 2^3 by 3 by 7 = 168.
I used the factorisation method.
The identified for the construction is the endpoint of rays BA and BC option (C) is correct.
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
Angle ABC has point E on ray BA and point D on ray BC.
Points E and D are equidistant from point B.
The ED distance because if the distance between E and D is even slightly different, the entire angle ABC will vary.
Thus, the identified for the construction is the endpoint of rays BA and BC option (C) is correct.
Learn more about the angle here:
brainly.com/question/7116550
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Answer:
The equation of circle C is ( x-5 )2 + ( y-7 )2 = 80 .
Step-by-step explanation:
K= -3
3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6
<em>Answer</em><em>:</em>
<h2>
<em>2</em><em>0</em><em> </em><em>years</em><em> </em><em>old</em><em>.</em></h2>
<em>Sol</em><em>ution</em><em>,</em>
<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>sister</em><em> </em><em>be</em><em> </em><em>X</em>
<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>boy</em><em> </em><em>be </em><em>2</em><em>x</em>
<em>Now</em><em>,</em>
<em>Five</em><em> </em><em>years</em><em> </em><em>ago</em><em>,</em>
<em>
</em>
<em>Again</em><em>,</em>
<em>Repla</em><em>cing</em><em> </em><em>value</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>