Answer:
Option (3) and (4) are correct .
w║n and n⊥m and w║n so w⊥m
Step-by-step explanation:
In the given figure, we have a set of lines which are parallel and perpendicular.
Parallel lines are lines in same plane which when extended do not meet and are always same distance apart from each other.
Perpendicular lines are two non-vertical lines in the same plane intersect at right angles.
From the figure given,
w║n and n⊥m as angle between a and n is right angle that is ∠mxn = 90° (given)
Since, w║n so w⊥m also both w and n shows same property as both are parallel lines.
Thus, option (3) and (4) are correct .
12 shirts were neither black or blue
look at the picture for more explaination
Answer:
Step-by-step explanation:
Q. 17
Verticle angles are congruent
(6x+7) = (8x-17)
-6x from both sides
7 = 2x-17
add 17 to both sides
2x = 24
divide 24 by 2
x = 12
Q. 18
Linear pair = 180
(11x-15) + (5x-13) = 180
11x + 5x - 15 - 13 = 180
16x - 28 = 180
Add 28 to both sides
16x = 208
Divide 16
x = 13
The possible numbers that Melody could have picked are -4 and 4.
The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".
Given, Let x be the number Melody had chosen.
Thus, tripling the number will give 3x, and
squaring this will result to (3x)² which is equals to 9x².
Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:
9x²/2 ₋ 30 = 42
9x²/2 = 42 ₊ 30
9x²/2 = 72
9x² = 72 × 2
9x² = 144
x² = 144/9
x² = 16
x = ±√16
x = ±4
x = ₊4 or x = 4
hence melody could have picked ₊4 or ₋4 numbers.
Learn more about Equations here:
brainly.com/question/22688504
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All you have to do is add to both sides
x-6=8
+6 +6
x=14
