Y=-5.11111 how I solved it is in the picture attached
Answer:
2/5
Step-by-step explanation:
If you have two point of the form(x_1,y_1) and (x_2,y_2) then the distance between these points is d=√(x_1-x_2)^2+(y_1-y_2)^2
In this case:
d=/(-8-(-6))^2+(-2-2)^2
d=/(-8+6)^2+(-4)^2
d=/(-2)^2+16
d=/4+16
d=/20
d=2/5
Answer:
(6 , 7.25)
Step-by-step explanation:
Given in the question coordinates (-4,-9) and (21,31.625)
x1 = -4
y1 = -9
x2 = 21
y2 = 31.625
Ratio
a : b
2 : 3
Formula to use
x = x1 +
(x2-x1)
y = y1 +
(y2 -y1)
Plug values on the formula
x = -4 + 
x = 6
y = -9 + 
y = 7.25
Co-ordinates of the point which divide the line into 2:3 is
(6 , 7.25)
Answer:
a). x = 12
b). m∠H = 90°
m∠I = 58°
m∠J = 62°
Step-by-step explanation:
a). Use the property of a triangle,
" Sum of all the angles in a triangle is 180°"
(2x + 34)° + (4x + 14)° = 180°
(2x + 4x) + (34 + 14) = 180
6x + 48 = 180
6x = 180 - 48
6x = 132
x = 
x = 12
b). m∠H = 90° [Given]
m∠I = (2x + 34)° = [(2 × 12) + 34]°
m∠I = 58°
m∠J = (4x + 14)° = [(4 × 12) + 14]°
m∠J = 62°