if each small tile cost 15 pesos & each big tile should emmanuel use to economize in tilin his floor? explain why

To construct an angle bisector for ∠ABC, use a compass and straightedge to create intersecting arcs, connecting the vertex with the intersection point to form the bisector. Avoid changing compass width or inaccurate arc intersections.

Constructing an angle bisector for ∠ABC using only a compass and a straightedge involves a series of precise steps. Here are the instructions along with common mistakes to avoid:

Step-by-Step Instructions:

Draw ∠ABC: Begin by drawing the angle ∠ABC with the given vertex at point B.

Place Compass at Point B: Use your compass and place its needle point (the sharp end) at point B, the vertex of the angle.

Adjust Compass Width: Open the compass to a width that allows you to draw two arcs that intersect both rays of the angle. Ensure the compass width remains fixed during the construction.

Draw Arcs: With the compass set, draw an arc that intersects the first ray, AB. Keep the compass needle fixed at B, and draw another arc that intersects the second ray, BC. Label the points of intersection with the rays as D and E.

Connect B and E: Using your straightedge, draw a straight line that connects point B and point E.

Bisect the Angle: The line BE bisects angle ∠ABC, creating two equal angles, ∠ABE and ∠EBC. Angle ∠ABE is the bisector of ∠ABC.

Common Mistakes to Avoid:

Changing Compass Width: Keeping the compass width consistent is crucial. Changing it during the construction will result in an inaccurate angle bisector.

Inaccurate Arc Intersection: Ensure that the arcs drawn from points B intersect the rays AB and BC accurately at points D and E. Inaccurate intersection points will lead to an incorrect angle bisector.

Not Labeling the Bisector: It's essential to label the constructed angle bisector (∠ABE) to distinguish it from the original angles.

By following these steps carefully and avoiding common mistakes, you can accurately construct an angle bisector for ∠ABC using only a compass and a straightedge.

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The question probable may be:

How do you construct an angle bisector for ∠ABC using only a compass and a straightedge? Provide step-by-step instructions, and highlight any common mistakes to avoid in the construction.

From looking at both the pictures shown for the problems which can be found in the attachment below. I concluded that what needs to be corrected in the following construction for copying ∠ABC with point D as the vertex is answer choice:

C) The third arc should cross the second arc.

I hope this helps, Regards.

Your Final Answer would be 5

Hope this helps!

Answer: 18%

Step-by-step explanation: To find the commission rate, we can divide the commission earned by the total merchandise sold.

Given:

Total merchandise sold = $2900

Commission earned = $522

To calculate the commission rate:

Commission rate = (Commission earned / Total merchandise sold) * 100%

Substituting the given values into the formula:

Commission rate = (522 / 2900) * 100%

Calculating the commission rate:

Commission rate = 0.18 * 100% = 18%

Therefore, the commission rate for this salesperson is 18%.

Answer:

19/24 pounds

Step-by-step explanation:

To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).