Draw a diagram in which segment AB intersects segment CD equals segment CB
2 answers:
The correct illustration is provided.
Explanation:
Utilizing a tool like Geogebra, commence by creating a line segment. Label the endpoints as C and D.
Next, draw the perpendicular bisector of the segment and denote the intersection with CD as B, then introduce a point A above this line.
Measure the distance from C to B and from B to D. Both distances will be equal.
Measure the length from A to B. If this distance is not equal to that from C to B, adjust A along line AB until the distances match.
With a compass and straightedge:
First, create segment CD and ensure the endpoints are labeled.
Adjust your compass to slightly more than half the distance between C and D. With it set at C, draw an arc above CD.
Using the same compass setting at D, draw another arc to intersect your first arc above CD. Mark the intersection as E.
Connect E to CD with a straightedge and label the intersection as B.
Set your compass to the distance from C to B. Position it on B and mark an arc on EB. Designate this intersection point as A.
Thus, AB will equal both CB and BD.
Explanation:
Utilizing a tool like Geogebra, commence by creating a line segment. Label the endpoints as C and D.
Next, draw the perpendicular bisector of the segment and denote the intersection with CD as B, then introduce a point A above this line.
Measure the distance from C to B and from B to D. Both distances will be equal.
Measure the length from A to B. If this distance is not equal to that from C to B, adjust A along line AB until the distances match.
With a compass and straightedge:
First, create segment CD and ensure the endpoints are labeled.
Adjust your compass to slightly more than half the distance between C and D. With it set at C, draw an arc above CD.
Using the same compass setting at D, draw another arc to intersect your first arc above CD. Mark the intersection as E.
Connect E to CD with a straightedge and label the intersection as B.
Set your compass to the distance from C to B. Position it on B and mark an arc on EB. Designate this intersection point as A.
Thus, AB will equal both CB and BD.
You might be interested in
Robert covered a distance of 292 miles.
He took 4 hours to complete this journey.
Next, let's convert miles to feet.
1 mile equals 5280 feet.
Thus, 292 miles in feet equals 292 * 5280 = 1541760 feet.
Now, converting 4 hours into seconds.
1 hour translates to 3600 seconds.
Therefore, 4 hours equals 3600 * 4 = 14400 seconds.
The question asks for speed in feet per second.
Thus,
is 107.067 feet per second.
Response:
Refer to the figure attached.
Step-by-step explanation:
Each portion is treated as a function.
Let x represent the hours worked in a day
The company packs 80 boxes of toys each hour during the first three hours. Thus, y₁ = 80x, for x ∈ [0,3]
After three hours, the total boxes packed = 80 * 3 = 240
They pause packaging for two hours for a training session. Therefore, y₂ = 240, for x ∈ [3,5]
Next, for the subsequent four hours, they pack 20 boxes of toys hourly
y₃ = 20x + c, for x ∈ [5,9]
To determine c, equate y₂ and y₃ at x = 5
∴ 240 = 20 * 5 + c
∴ c = 240 - 20 * 5 = 240 - 100 = 140
∴ y₃ = 20x + 140, for x ∈ [5,9]
Consequently,
y₁ = 80x, for x ∈ [0,3]
y₂ = 240, for x ∈ [3,5]
y₃ = 20x + 140, for x ∈ [5,9]
The graph plotting the piecewise function that depicts the described situation is shown in the attached illustration.
