A parallelogram is a quadrilateral with two opposite sides equal in lengths while a rhombus is a parallelogram with the two sets of opposite sides equal to each other. A rhombus forms perpendicular bisectors when <span>diagonals are intersected with each other. Answer then is A</span>
We can't eliminate as is so we have to change something up there in the equations to get either the x values the same number but opposite signs, or the y values the same number but opposite signs. I chose to change the y values to the same number but different signs. In the first equation y is -3y and in the second one, y is -8y. The LCM of both of those numbers is 24, so we will multiply the first equation by an 8 (8*3=24) and the second equation by 3 (3*8=24) but since they are both negative right now, one of those multiplications has to involve a negative because - * - = +. Set it up like this:
8(-10x - 3y = -18)
-3(-7x - 8y = 11)
Multiply both of those all the way through to get new equations:
-80x - 24y = -144
21x +24y = -33
Now the y's cancel each other out leaving only the x's:
-59x = -177 and x = 3. Now plug that 3 into either one of the original equations to find the y value. Either equation will work; you'll get the same answer using either one. Promise. -7(3) - 8y = 11 gives a y value of -4. so your solution is (3, -4) or B above.
Answer:
-1/2
Step-by-step explanation:
https://www.calculator.net/slope-calculator.html
That website has the best explanation ^^^^^
A) <DAE = 180-126 = 54
b) <EBC = 90 - 48 = 42
c) <BAE = 180-48-54=78
Answer:
165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x
Step-by-step explanation:
The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!
I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.
165=17.75x+5.25
159.75=17.75x
9=x
Our final answer is 9 is greater than or equal to x. Hope this helps!