A line <u>bisector</u> is a <em>straight </em>line that <u>divides</u> a given line into two equal parts. Thus the following steps are required by Naomi to show that point D is <em>equidistant</em> from points A and C.
BD ⊥ AC (given)
BD = 3 units, and AC = 8 units.
BD is the <em>perpendicular</em> bisector of <u>segment</u> AC (given)
Thus,
<BDA ≅ <BDC <em>(right</em> angles formed by a <u>perpendicular</u> bisector)
AD ≅ DC <em>(equal</em> parts of a<em> bisected l</em>ine)
AD ≅ DC = 4 units
Thus joining <u>points</u> B to A, and B to C,
BA ≅ BC.
So that applying <em>Pythagoras</em> theorem to ΔABD, we have:
= 
+ 
= 
+ 
= 
AB = 5 units
So that,
BA ≅ BC = 5 units
Therefore, it can be <u>concluded</u> that point D is <em>equidistant</em> from points A and C.
For more clarifications on a perpendicular bisector of a line, visit: brainly.com/question/929137
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Answer: n+12 explanation: you’re just adding 12 more to the number or variable.
9514 1404 393
Answer:
-2, 3
Step-by-step explanation:
For the product to be negative, exactly one of the two numbers must be negative. For the sum to be positive, the positive number must be larger than the absolute value of the negative number.
One such pair of numbers is -2 and 3.
__
Their product is -6; their sum is +1.
Answer:
A.) b- 9.5 = 26.5
Step-by-step explanation:
because the equation is basically saying that (the og length) - 9.5( the one he cut out) = 26.5 ( which is the remaining wood)
828 small spheres can be made from the metal.
Step-by-step explanation:
Side of the cube = 4.5cm
Volume = (a x a x a)
= (4.5 x 4.5 x 4.5)
= 91.125 cubic cm
Radius of the sphere = 3mm = 0.3 cm
Volume of 1 sphere = (4/3) π(r x r x r)
= (4/3) (3.14) (0.3 x 0.3 x 0.3)
= (4/3) (3.14) (0.027)
= 0.34/3
= 0.11 cubic cm
No. of spheres = 91.125/0.11
= 828.4
So, 828 small spheres can be made from the metal.
