Question
6) Which of the following have the same slope? a) 29^circ and (1)/(2) b) 2.2 and 65^circ c) (7)/(11) and 65% d) 9:8 and 112.5%
Solution
4.3
(258 Votos)
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Resposta
To determine which of the given pairs have the same slope, we need to convert all angles and percentages to decimal form and compare them.a)
and
:-
is already in angle form.-
is already in fraction form.b) 2.2 and
:- 2.2 is already in decimal form.-
is already in angle form.c)
and
:-
is already in fraction form.-
can be converted to decimal form by dividing by 100, which gives
.d)
and
:-
can be converted to decimal form by dividing 9 by 8, which gives
.-
can be converted to decimal form by dividing by 100, which gives
.Comparing the decimal forms:- a)
and
: Not the same.- b) 2.2 and
: Not the same.- c)
and
: Not the same.- d)
and
: Same.Therefore, the pair that has the same slope is d)
and
.