Answer:
1) m<2 = 115°
2) m<5 = 83°
3) m<8 = 45°
4) m<4 = 137°
Step-by-step explanation:
When two lines cross over each other, creating four angles, the opposite angles are equal.
So in question one, <1 is equal to <2, the angle opposite it, and so it is 115°.
Similarly, in question two, <5 = <6 = 84°.
In question three, <8 = <9 = 45°.
and in question four, <3 = <4 =137°.
Answer:

Step-by-step explanation:
The vertical asymptotes need to be in the denominator. They become VA's when that small expression value equals zero.
x=-2 will become (x+2)
and x=-6 will become (x+6)
The x intercepts will be in the numerator.
x=-1 will go with (x+1) and x=3 will go with (x-3)
The horizontal A must be the quotient of the coefficient of the numerator and denominator, since both the top and bottom have the same power.
To make the quotient 7, we place a seven in the numerator so 7/1=7.
Answer:
Answer: {x = -2
, y = 5
Step-by-step explanation:
{x + 4 y = 18 | (equation 1)
{x + 8 y = 38 | (equation 2)
Subtract equation 1 from equation 2:
{x + 4 y = 18 | (equation 1)
{0 x+4 y = 20 | (equation 2)
Divide equation 2 by 4:
{x + 4 y = 18 | (equation 1)
{0 x+y = 5 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{x+0 y = -2 | (equation 1)
{0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -2
, y = 5
Answer:
Step-by-step explanation:
4.
2ab cos C=a²+b²-c²
2×31×14 cos C=31²+14²-40²
868 cos C=961+196-1600=-443
cos C=-443/868
C=cos^{-1}(-443/868)≈120.688≈120.69°
5.
by sine formula
m∠B=180-(62+55)=180-117=63°
