Guess the rule and add the next number in the sequence. 6, 8, 12, 18, 26,
2 answers:
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Answer:
CU = 117
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
substituting in values to the ratios
=
( cross- multiply )
24(36x - 1) = 3432 ( divide both sides by 24 )
36x - 1 = 143 ( add 1 to both sides )
36x = 144 ( divide both sides by 36 )
x = 4
CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117
Answer:
Therefore = -3.
Step-by-step explanation:
i) let us say the slope of the line passing through (-2,7) and (4,9) is .
ii) to find the slope of the line passing through two points (,
) and (
,
) we use the formula m =
. Therefore we can say that
=
=
.
iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is
iv) from the formula for the slopes of a line and the line perpendicular to it which is given by ×
= -1, therefore
= -1 ÷
= -3. Therefore
= -3