Answer:
x = 19 degrees
Step-by-step explanation:
Hi there!
We're given that CD = DE. This makes angle ECD equal to 38 degrees (equal to angle CED).
The sum of the interior angles in a triangle is 180 degrees. Now, we can use this information to find angle D:
180-38-38=D
D=104
Therefore, angle D is 104 degrees.
This is a parallelogram, so angle B is also 104 degrees.
The sum of the interior angles in a quadrilateral is 360 degrees. Now, we can use this to find angle A:
360-104-104=A+C
152=A+C
Keep in mind that because this is a parallelogram, angles A and C are equal:
152=2A
A=76
Therefore, angle A is 76 degrees.
To solve for x, we can use the following equation:
3x+x=76
4x=76
x=19
Therefore, x is 19 degrees.
I hope this helps!
Answer:
Step-by-step explanation:
From the condition of perpendicularity, for two lines to be perpendicular to each other the product of their gradients must equal to ( -1 ).
Same time, equation of a straight line is ; y = mx+ c where m us the gradient and c is the point of intersection of the line on y axis. Therefore, the gradient of this equation m1 ,= -5 and the gradient m2 of the second line will be 1/5. Therefore, the equation of the second line perpendicular to
y = -5x + 6 ; y = x/5 + 6 .
Therefore, y = x/5 + 6 is the new equation.
Answer:
<h2>$503.5</h2>
Step-by-step explanation:
let the apprentice duration of work be x hours
so that the electrician worked (x+4)hours
53*(x+4)+22*x=624.50
opening the bracket we have
53x+212+22x=624.50
collect like terms we have
53x+22x+212=624.50
75x+212=624.50
75x=624.50-212
75x=412.5
divide both sides by 75 we have
x=412.5/75
x=5.5
The electrician worked a total of (x+4)
5.5+4=9.5 hours or 9hours 30min
given that the electrician earns $53 per hour
then,for the work he would make 53*9.5=$503.5
Answer:
a
Step-by-step explanation:
Under a clockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ) , thus
f(x, y ) = (- y, x )
Answer:
Step-by-step explanation:
2.4x32=76.8
76,8/800=0.096
