The answer to the question is d
Answer:
1.
Step-by-step explanation:
1. 1.811/2=3.622 271/3=813
3.622*813=2,944.686
this is number one
2. 32x=729
divide both sides by 32
32x=729/32=
22.78125 approximate=22.8 or 23
y = - 4x + - 8 is equation of slope-intercept form.
What is in slope-intercept form?
- Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form.
- Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.
the equation of slope - intercept form
y = mx + c
( -1 , -4 ) is point shown in graph
slope = -y/x
= - ( -4)/-1 = 4/-1 = -4
- 4 = -4 * - 1 + c
- 4 = 4 + c
c = - 4 - 4 = - 8
put value of c in the equation of slope - intercept form
y = - 4x + - 8
Learn more about slope-intercept form
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Answer:
The value of x is 17
Step-by-step explanation:
The sum of the angles in a triangles is 180°
From the question:
In ΔVWX,
m∠V=(4x+3) ∘
m∠W=(x+7) ∘
m∠X=(5x+0) ∘ .
Hence:
m∠V + m∠W + m∠V = 180°
4x + 3 + x + 7 + 5x + 0 = 180°
Collect like terms
4x + x + 5x + 3 + 7 + 0 = 180°
10x + 10 = 180°
Subtract 10 from both sides
10x + 10 - 10 = 180° - 10
10x = 170
Divide both sides by 10
10x/10 = 170/10
x = 17
The value of x is 17
Firstly, we will draw figure
now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle
because of opposite sides of rectangle ABMD are congruent
so,
DM=AB=9
CM=CD-DM
CM=18-9
CM=9
now, we can find BM by using Pythagoras theorem
now, we can plug values
we get
now, we can find area of trapezium
now, we can plug values
and we get
so, area of of the trapezoid is 
..........Answer
