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sineoko [7]
1 year ago
8

Draw Line HI perpendicular to Line JK (be sure to include appropriate markings)

Mathematics
1 answer:
kirill [66]1 year ago
4 0

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

#SPJ9

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Tell whether the data in the table can be modeled by a linear equation. Explain.
anastassius [24]

Answer:

y = -3x + 7

Step-by-step explanation:

Choosing two points from the given table:

Let (x1, y1) = (-3, 16)

(x2, y2) = (-1, 10)

Plug these given values into the slope formula:

m = (y2 - y1)/(x2 - x1)

   = (10 - 16) / (-1 - (-3))

   = -6 / (-1 + 3)

   = -6/2

   = -3

Therefore, the slope is -3.

Next, choose one of the points and plug into the <u>point-slope form</u>:

Let's use (-1, 10) as (x1, y1):

y - y1 = m(x - x1)

y - 10 = -3(x - (-1))

y - 10 = -3(x + 1)

y - 10 = -3x - 3

Add 10 on both sides to isolate y:

y - 10 + 10 = -3x - 3 + 10

y = -3x + 7

8 0
2 years ago
(x^5 y)/(x^2 y^6) please help i dont understand this
Dvinal [7]

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x³/y⁵

Simplify the expression.

5 0
3 years ago
A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts.
Pachacha [2.7K]

Answer:

500 lbs of mixed nuts

Step-by-step explanation:

15.4% of mixed nuts = 77 lbs of pecans

Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:

77 / 15.4 = 5,  so 5 lbs equals 1% of mixed nuts

Now multiply that number by 100 to get 100% of mixed nuts:

5 x 100 = 500

Therefore, there are 500 lbs of mixed nuts in a batch altogether.

To check, 15.4% = 15.4/100 = 0.514

Therefore, 15.4% of 500 = 0.514 x 500 = 77

Thereby proving that 15.4% of 500 is 77.

8 0
2 years ago
Which of the following is equivalent to 2/9
iragen [17]

Answer:

B would be the answer:))

Step-by-step explanation:

Divide 2 by 9

5 0
2 years ago
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The answer is 6 units and 3 fourths
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