Answer:
3) 5
4) 8.2
5) 6.8
6)FG = 6.4
7) EF = 3.6
8)DF = 4.8
Step-by-step explanation:
From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)
Thus, ∠G = 36.87°
Still using trigonometric ratios;
FG/8 = cos 36.87°
FG = 8 cos 36.87°
FG = 6.4
3) EF + FG = EG
Since EG is 10, mean of EF and FG = 10/2 = 5
4) mean of EG and FG = (10 + 6.4)/2 = 8.2
5) EF + FG = EG
Thus; EF = EG - FG
EF = 10 - 6.4
EF = 3.6
Mean of EG and EF = (10 + 3.6)/2 = 6.8
6) FG = 6.4
7) EF = 3.6
8) Using trigonometric ratio;
DF/8 = sin 36.87
DF = 8 × 0.6
DF = 4.8
Let, the numbers = x,y
x+y= 24 1st eqn
x-y = 44 2nd eqn
24-y-y = 44
-2y = 44-24
y = 20/-2 = -10
substitute that in equation 1st x = 24+10 = 34
so, the numbers would be 34 & -10
4x+3y=7
3x-2y=9
12x+9y=21
12x-8y=36
^^Multiply top equation by 3 and multiply bottom equation by 4
12x+9y=36
- 12x-8y=36
17y=-15
^^Then subtract those two new equations
17y/17= -15/17
Y= -0.88
^^Next divide both sides by 17
4x+3* -0.88=7
4x + (-2.64) =7
-(-2.64) -(-2.64)
4x = 9.64
4x/4=9.64/4
X=2.41
^^then choose on equation and put your new y in the y spot and solve.
X=2.41
Y=-0.88
Your point/coordinate is (2.41,-.88)
