To draw line HI perpendicular to JK we need to follow the given steps:
Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.
From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.
Use your ruler to join the given point (H) to the point where the arcs intersect (I).
HI is perpendicular to JK.
What is perpendicular?
Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.
Properties of Perpendicular Lines
- These lines always intersect at right angles.
- If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
- Adjacent sides of a square and a rectangle are always perpendicular to each other.
- The sides of the right-angled triangle enclosing the right angle are perpendicular to each other.
To learn more about perpendicular lines,
brainly.com/question/1202004
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Lets check...
42/56 = 56/64
cross multiply
(56)(56) = (42)(64)
3136 = 2688...(incorrect)...these are not proportional
proportions are nothing but equivalent fractions
42/56 = 3/4
56/64 = 7/8
as u can see, they are not equivalent fractions...so they are not proportional
-x + 4 + 20x = 156
19x + 4 = 156
- 4. -4
19x = 152
19. 19
X = 8
Answer:
X=13.5
Step-by-step explanation:
Y=2 so
2x-3*2^2=15
2x-12=15
2x=27
X=13.5
The correct answer for this question is this one: "B. the quotient 5 cubed over 5 to the fourth, raised to the negative 3 power"
<span>A. 5 times the quotient 5 cubed over two-fifths, raised to the second power
B. the quotient 5 cubed over 5 to the fourth, raised to the negative 3 power
C. 5 to the negative 2 over 5 to the negative 5
E. 5 times the quotient 5 to the 5 over 5 cubed</span>
