Answer:
- Benito's error was stating that the correspongind sides and angles are equal (=) instead of stating that they are congurent (≅).
Explanation:
In geometry two different figures (segments, angles, polygons ,...) are not said to be equal but congruent.
Congruent means that they have the same measure but not that they are equal in other senses.
The use of equal is applied to numbers or variables),so you can tell x = 2, 3 = 3, A = πr², but you should not say segment AB is equal to segment BC. Instead you say segment AB ≅ segment BC, which is segment AB is congruent to segment BC.
Of course, you still can use the word equal (symbol =) if you state that you are talking about measures.
This also can help you
- Correct: segment AB ≅ segment BC
- Correct: legth of segment AB = length of segment BC
- Incorrect: segment AB = segment BC
Segment AB and segment BC are not equal because they are two different segments. They are congruent because they have the same length.
Note: the bars shown over the letters AB, BC, AD, DC, mean segment.
Answer:
1) undefined
2) 0
Step-by-step explanation:
Slope formula:
Problem 1:
(x1, y1) = (-7, 8)
(x2, y2) = (-7, -6)
Plug those 2 points into the slope formula and solve:
Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:
Problem 2:
(x1, y1) = (-9, -8)
(x2, y2) = (3, -8)
The slope is 0, and that would make a horizontal line on a graph. The equation would be:
You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.
2 quarters= 50 cents
1 dime= 10 cents
5 nickels=25 cents
1 penny= 1 cent
Answer:
B.
200x + 800 = 1,600; 4 months
Step-by-step explanation:
Since 200 is the amount you pay each month, and x is the months, we pay 200 dollars for each month. We also add 800 because that was the initial price she paid, which is known. We then complete the equation by making it equal to 1600 dollars, which is the total amount she paid.
When we get 200x + 800 = 1,600, we solve for x.
First, we minus 800 on each side to isolate x. 200x=1600-800
Then, we simplify, 200x=800
Lastly we divide by 200 on both sides to completely isolate x and complete the equation. 200x=800÷200
Simplify, getting x=4 (months)
Hope you understood!
