Answer:
b and d
Step-by-step explanation:
on both of those polinomials the terms are in order from the higest degree towards thhe lowest degree
Answer:
correct answer is 30 degrees
Answer:
Terry initially had £390
Step-by-step explanation:
The ratio of the original amount is 3:7
Let the original amount Terry has be t and the original amount Faye has be f
3/7 = t/f
or simply 3f = 7t ••••••(i)
Terry putting 220 means he now has
t + 220
Faye withdrew 300
He now has f-300
These values are equal
t + 220 = f-300
f = t+220+300
f = t + 520 ••••••(ii)
Put ii into i
3(t + 520) = 7t
3t + 1560 = 7t
7t-3t = 1560
4t = 1560
t = 1560/4
t = 390
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Distance between A(0, -3) and C(2, 8),
AC = ![\sqrt{(8+3)^2+(2-0)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%288%2B3%29%5E2%2B%282-0%29%5E2%7D)
= ![\sqrt{125}](https://tex.z-dn.net/?f=%5Csqrt%7B125%7D)
= ![5\sqrt{5}](https://tex.z-dn.net/?f=5%5Csqrt%7B5%7D)
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = ![\sqrt{(5-0)^2+(6+4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%285-0%29%5E2%2B%286%2B4%29%5E2%7D)
= ![\sqrt{125}](https://tex.z-dn.net/?f=%5Csqrt%7B125%7D)
= ![5\sqrt{5}](https://tex.z-dn.net/?f=5%5Csqrt%7B5%7D)
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.