Answer:
y = 
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 
when x = 
, thus
= 
= 2k ( divide both sides by 2 )
k = 
y = 
← equation of variation
When x = 
, then
y = 
= 
=
Answer:
1) m∠U = 90°
2) m∠C = 80°
Step-by-step explanation:
1) The given figure is a quadrilateral
The sum of the interior angles of quadrilateral = 360°
∴ The sum of the interior angles of the given figure = 360°
Therefore, we have;
80° + 24·x + 4 + 6 + 21·x + 90° = 360°
80° + 45·x + 10 + 90° = 360°
x = (360°- (80° + 10° + 90°))/45 = 4
x = 4
m∠U = 6 + 21·x = 6 + 21 × 4 = 90
m∠U = 90°
2) The sum of the interior angles of the given quadrilateral = 360°
∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°
86·x + 16 = 360°
x = (360° - 16°)/86 = 4
x = 4
m∠C = 20·x = 20 × 4 = 80
m∠C = 80°
3) In the figure, some angles are left out, therefore, more information on the remaining angles required
Answer:
12
Step-by-step explanation:
first multiply 6 and 4.
then divide by 2.
Answer:
(-2,-1)
Step-by-step explanation:
Using the graph find the coordinates for A and B.
A (-4,2) and B is (0,-4)
Midpoint formula is (x1 + x2)/2 , (y1+y2)/2
x value of the midpoint= (-4+0)/2 = -2
y value of the midpoint= (2 + -4)/2 = -2/2= -1
Midpoint is (-2, -1)
36/7 = 27/x.....36 mm to 7m = 27 mm to x m
cross multiply
(36)(x) = (27)(7)
36x = 189
x = 189/36
x = 5.25 m
