At a meeting with 25 businessmen, twelve businessmen drank coffee, and ten businessmen drank tea. Five businessmen drank both co
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Answers:
Reason 4: Isosceles triangle
Reason 5: Segment Addition Postulate
Reason 6: Segment Addition Postulate
Reason 7: Substitution
Reason 8: Substitution
Reason 9: Subtraction property of equality
Reason 10: Definition of congruence
Reason 11: Vertical Angles Theorem
Reason 12: Vertical Angles Theorem
Reason 13: ASA (angle side angle) congruence theorem
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Explanations:
Reason 4: Triangle DCE is an isosceles triangle because of statement 1 of the proof table. The congruent base angles lead to congruent opposite sides.
Reason 5 and 6: This is the idea of breaking any segment into smaller pieces. The smaller pieces glue back together to get the larger original segment.
Reasons 7 and 8: Substitution is a math term which means "replacement". So for instance, in line 7 we started with DB = DC + CB (from line 6), then we replaced the "DB" with "DF" (see line 3); and then replaced "DF" with "DE+EF"
Reason 9: In this step, we subtract DE from both sides to have it go away and cancel out
Reason 10: If two lengths are equal, then the segments are congruent
Reason 11 & 12: Two angles are vertical if they are opposite from one another after forming from two lines crossing. Think of an X shape. Vertical angles are congruent.
Reason 13: We have two pairs of congruent angles, and a pair of congruent sides. The sides are between the angles. The order is important. See the attached image below.
Answer:
The perimeter is 22
Step-by-step explanation:
Using a graph would be the easiest way to solve this type of problem (just count the units from each point and add them all up). Perimeter= 2l+2w
If graph paper is not available then you may need to use your head a little bit and imagine a graph. You want to first find the length (or width because either can be it) by finding the two points with similar x or y values.
One of the lengths can be found by using (-1,-9) and (4,-9) because they have similar y values. Next you want to find the distance between the two values so that you can find the length. When two points are in different quadrants (use the image for reference) you would add the x values by their absolute values in meaning the distance the number is from 0 or that you change the negative numbers into positive numbers. Add 1 and 4 and you get 5. The length is 5 which you then multiply by 2 and get the length of both sides.
Because you have the two lengths the width where both of the x values are similar and find the distance between the points. You can use the two points (-1,-9) and (-1,-3). Use the absolute value of the two y values and subtract them because they are in the same quadrant (refer to the image if needed). Use the largest absolute value and subtract the lowest absolute value so that you get 9-3 which would give you 6. The width is 6 and you then multiply it by 2 so that you get 12. 12 is the width of both sides of the rectangle. Add all 4 sides together to get a perimeter of 22.
Answer:
B- 1 inch= 2 feet
Step-by-step explanation:
For this make a fraction, and then simplify. This will show the scale factor.
So, the answer will be 1 inch=2 feet.