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crimeas [40]
3 years ago
7

Three of these expressions give the distance between point A and point B on the number line

Mathematics
1 answer:
frutty [35]3 years ago
6 0

Answer:

Option A does not give the right expression.

Step-by-step explanation:

On the number line if there are two points P(a) and Q(b) given by coordinates a and b, then the distance between those two points will be given by  

d = |a - b| ......... (1)

which is independent of the position of the points.

Therefore, if point A is at - 3.5 and point B is at 7.5, then the distance between point A and point B will be given by  |7.5+3.5| or |- 3.5-7.5| or |7.5-(-3.5)|, but not by  |7.4-3.5|.

Hence, option A does not give the right expression. (Answer)

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Frank started out in his car travelling 45 mph. When Frank was 1/3 miles away, Daniel started out from the same point at 50 mph
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Time taken by Daniel to catch up with Frank is 4 minutes.

Step-by-step explanation:

The question is on relative speed; speed of a moving object with respect to another.

The two cars are travelling in the same direction at different speeds thus;

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Answer:

Step-by-step explanation:

30. Given: rectangles QRST and RKST

     Prove: ΔQSK is isosceles

An isosceles triangle is a triangle which has two sides and two angles to be equal.

Thus,

From rectangle QRST, the diagonals of rectangles are similar.

i.e RT ≅ QS (diagonal property)

Also, RT ≅ SK (opposite sides of rectangle RKST)

Thus,

RT ≅ QS  ≅ SK

Therefore,

ΔQSK is an isosceles triangle.

31. Given: Rectangles QRST, RKST and JQST

     Prove: JT ≅ KS

From rectangle QRST, the diagonals of rectangles are similar.

i.e RT ≅ QS (diagonal property)

But,

JT // QS and RT // KS

Thus,

JT ≅ QS (opposite sides of rectangle JQST)

also,

RT ≅ KS (opposite sides of rectangle RKST)

So that,

JT ≅ QS ≅ RT ≅ KS

Therefore,

JT ≅ KS

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3 years ago
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