Answer:
An <u>and inequality</u> contains compound restrictions, i.e., x must be less that 4 and greater than 1, while an <u>or inequality</u> contains multiple sets of separate restrictions, in which, only one must be fulfilled, i.e., x is greater than 5 or less than -3.
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Answer:
P'(-6,-4)
Step-by-step explanation:
By translating the point under the translation, to put it into a simpler form, it says to move the point 4 units to the left and 6 units down. Using this, the point will move to P'(-6,-4)
Answer:
5. B, C and E
6. C
7. None
8. A and D
9. F and G
Step-by-step explanation:
See attachment for complete question
5. B, C and E
B, C and E are not parallelogram because they do not have 2 pairs of parallel sides
B and E are trapeziums while C is just a quadrilateral.
6. C
In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.
7. None
A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.
8. A and D
A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.
9. F and G
These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.
Answer:
See below in bold.
Step-by-step explanation:
(1) cosec ( x + 10) = 3
Now cosec x = 1/sin x so
1 / sin (x + 10) = 3
3 sin (x + 10) = 1
sin (x + 10) = 1/3
x + 10 = 19.47 , 160.53 degrees
x = 9.47, 150.53 degrees.
(ii) cot (x - 30) =0.45
cot (x - 30)= 1 /tan (x- 30) so we have
tan (x - 30) = 1 / 0.45 = 2.2222
x - 30 = 65.77 degrees
x = 95.77 degrees.