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Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Perpendiculer Lines

Grade: 6-a Lesson: S2-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	The following figure finds the x value.
2	Hint	The given lines X and Y are perpendicular, so the angle between them is 90°.
3	Step	Line b intersects the origin points of lines X and Y, forming angles with the y and x axes	⇒ ∠bX = x + 1 ⇒ ∠bY = 3x - 5
4	Step	Both angles are equivalent to the angle formed by the intersection of the X and Y lines	⇒ (x + 1) + (3x - 5) = 90° ⇒ x + 1 + 3x - 5 = 90
5	Step	By combining the values of x and the constant, we obtain the resulting sum	4x - 4 = 90
6	Step	After making the equation simpler	⇒ 4x = 90 + 4 ⇒ 4x = 94
7	Step	Move the x coefficient to the right side to find the x value	⇒ x = \$94/4\$ ⇒ x = 23.5
8	Step	So the value of X is 23.5.
9	SumUp	Can you summarize what you’ve understood in the above steps?
10	Choice.A	This is incorrect because it doesn’t meet the requirement of the equation 4x − 4 = 90	21.5
11	Choice.B	This is incorrect because it doesn’t meet the requirement of the equation 4x − 4 = 90	22.5
12	Choice.C	This statement is accurate because it meets the requirement of the equation 4x − 4 = 90	23.5
13	Choice.D	This is incorrect because it doesn’t meet the requirement of the equation 4x − 4 = 90	25
14	Answer	Option	C
15	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The following figure finds the x value.

Hint

The given lines X and Y are perpendicular, so the angle between them is 90°.

Step

Line b intersects the origin points of lines X and Y, forming angles with the y and x axes

⇒ ∠bX = x + 1
⇒ ∠bY = 3x - 5

Step

Both angles are equivalent to the angle formed by the intersection of the X and Y lines

⇒ (x + 1) + (3x - 5) = 90°
⇒ x + 1 + 3x - 5 = 90

Step

By combining the values of x and the constant, we obtain the resulting sum

4x - 4 = 90

Step

After making the equation simpler

⇒ 4x = 90 + 4
⇒ 4x = 94

Step

Move the x coefficient to the right side to find the x value

⇒ x = \$94/4\$
⇒ x = 23.5

Step

So the value of X is 23.5.

SumUp

Can you summarize what you’ve understood in the above steps?

Choice.A

This is incorrect because it doesn’t meet the requirement of the equation 4x − 4 = 90

21.5

Choice.B

This is incorrect because it doesn’t meet the requirement of the equation 4x − 4 = 90

22.5

Choice.C

This statement is accurate because it meets the requirement of the equation 4x − 4 = 90

23.5

Choice.D

This is incorrect because it doesn’t meet the requirement of the equation 4x − 4 = 90

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?