Answer:
m∠2 = 118, and m∠3 = 31
Step-by-step explanation:
The 2 opposite angles of a rhombus are equal.
Angle 1 and Angle 2 are opposite to each other. Since Angle 1 is 118, angle 2 is also 118.
Now looking at the bottom triangle in the rhombus, the two sides are equal (given by 2 lines). Hence, the 2 opposite angles are equal. Since we know 3 angles of a triangle add up to 180 degrees, we can write: (let angle 3 be x):
x + x + 118 = 180
2x = 180 - 118
2x = 62
x = 62/2
x = 31
So m∠2 = 118, and m∠3 = 31
Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
First, distribute the 2.
2(3p+1)>-4
6p+2>-4
Second, subtract 2 from both sides.
6p+2>-4
-2 -2
_______
6p > -6
Third, divide both sides by 6.
6p > -6
--- ---
6 6
______
p>-1
So the answer is p>-1.
Answer:
The Hamilton–Rosberg rivalry was a Formula One rivalry between British racing driver Lewis Hamilton and German racing driver Nico Rosberg. The rivalry was most prevalent during their four years as team-mates at Mercedes from 2013–2016, a period in which the two drivers dominated the sport. The pair's relationship became strained and, at times, led to volatile confrontations on and off the track, with the duo being threatened with suspension at the height of their rivalry.[1][2] It has been compared to the Prost–Senna rivalry.[3][4][5]
Lewis Hamilton (left) and Nico Rosberg (right) with Mercedes at the 2016 Malaysian Grand Prix
As teammates, Hamilton and Rosberg won 54 of 78 races over four seasons. Hamilton had 32 victories, 55 podium finishes and qualified ahead of Rosberg 42 times. Rosberg had 22 victories, 50 podium finishes and qualified ahead of Hamilton 36 times. During this period, Hamilton won the Formula One World Championship title twice, and Rosberg won the title once.[6]
