M= -6/5
hope this helped!!
Answer:
Rhombus
Step-by-step explanation:
The given points are A(−5, 6), B(−1, 8), C(3, 6), D(−1, 4).
We use the distance formula to find the length of AB.
![|AB|=\sqrt{(-1--5)^2+(8-6)^2}](https://tex.z-dn.net/?f=%7CAB%7C%3D%5Csqrt%7B%28-1--5%29%5E2%2B%288-6%29%5E2%7D)
![|AB|=\sqrt{16+4}](https://tex.z-dn.net/?f=%7CAB%7C%3D%5Csqrt%7B16%2B4%7D)
![|AB|=\sqrt{20}](https://tex.z-dn.net/?f=%7CAB%7C%3D%5Csqrt%7B20%7D)
The length of AD is
![|AD|=\sqrt{(-1--5)^2+(6-4)^2}](https://tex.z-dn.net/?f=%7CAD%7C%3D%5Csqrt%7B%28-1--5%29%5E2%2B%286-4%29%5E2%7D)
![|AD|=\sqrt{16+4}](https://tex.z-dn.net/?f=%7CAD%7C%3D%5Csqrt%7B16%2B4%7D)
![|AD|=\sqrt{20}](https://tex.z-dn.net/?f=%7CAD%7C%3D%5Csqrt%7B20%7D)
The length of BC is:
![|BC|=\sqrt{(-1-3)^2+(8-6)^2}](https://tex.z-dn.net/?f=%7CBC%7C%3D%5Csqrt%7B%28-1-3%29%5E2%2B%288-6%29%5E2%7D)
![|BC|=\sqrt{16+4}](https://tex.z-dn.net/?f=%7CBC%7C%3D%5Csqrt%7B16%2B4%7D)
![|BC|=\sqrt{20}](https://tex.z-dn.net/?f=%7CBC%7C%3D%5Csqrt%7B20%7D)
The length of CD is
![|CD|=\sqrt{(-1-3)^2+(6-4)^2}](https://tex.z-dn.net/?f=%7CCD%7C%3D%5Csqrt%7B%28-1-3%29%5E2%2B%286-4%29%5E2%7D)
![|CD|=\sqrt{16+4}](https://tex.z-dn.net/?f=%7CCD%7C%3D%5Csqrt%7B16%2B4%7D)
![|CD|=\sqrt{20}](https://tex.z-dn.net/?f=%7CCD%7C%3D%5Csqrt%7B20%7D)
Since all sides are congruent the quadrilateral could be a rhombus or a square.
Slope of AB![=\frac{8-6}{-1--5}=\frac{1}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8-6%7D%7B-1--5%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Slope of BC ![=\frac{8-6}{-1-3}=-\frac{1}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8-6%7D%7B-1-3%7D%3D-%5Cfrac%7B1%7D%7B2%7D)
Since the slopes of the adjacent sides are not negative reciprocals of each other, the quadrilateral cannot be a square. It is a rhombus
Answer:
52 inches
Step-by-step explanation:
26 x 2 is 52
Answer:
She bought 24 Tangram puzzles
Step-by-step explanation:
Let the number of Tangram puzzles be t and the number of IQ puzzles be i
The sum of all the puzzles is 40;
i + t = 40 ••••••(i)
Cost of all Tangram puzzles at a cost of $4 per one will be;
4 * t = $4t
cost of all Iq puzzles at a cost of $2 per one is
2 * i = $2i
Sum
paid for all is $128
so;
4t + 2i = 128 •••••••(ii)
From equation i;
i = 40-t
Substitute into ii
4t + 2(40-t) = 128
4t + 80 - 2t = 128
2t = 128-80
2t = 48
t = 48/2
t = 24
Answer:
ft
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side in any right triangle,
Essentially, look at it as if it was flat.
a is half of the diameter, so 2 ft.
b is your height, 9ft
![a^{2} +b^{2} =c^{2} \\2^{2} +9^{2} =c^{2} \\4+81= c^{2}\\\sqrt{85}=c](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D%20%5C%5C2%5E%7B2%7D%20%2B9%5E%7B2%7D%20%3Dc%5E%7B2%7D%20%5C%5C4%2B81%3D%20c%5E%7B2%7D%5C%5C%5Csqrt%7B85%7D%3Dc)