The figure is shown below
From the figure
Angle 150 degree and angle p forms angles on a straight
Since the sum of angles on a straight line equals 180 degrees
Hence

Solve for p in the equation

Hence, p = 30
From the figure
Angle p and angle q are vertically opposite angles
Since vertically opposite angles are equal then

Hence, q = 30
Applying the rule of angles on a straight line
This implies

Substitute q = 30 into the equation

Solve for w

Hence, w = 90
Answer:
x = 14
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
48 ^2 + x^2 = 50^2
2304+x^2=2500
x^2 = 2500-2304
x^2 =196
Taking the square root of each side
sqrt(x^2) = sqrt(196)
x = 14
Answer:
Butterflies
Step-by-step explanation:
Thanks
Answer:
C would be equal to (f - 13)/(10 - d)
Step-by-step explanation:
In order to find this, you must manipulate the equation so that the left side has every term with a c in it. Then you can isolate it by dividing and find what it is equal to.
10c - f = -13 + cd -----> Add f to both sides
10c = f - 13 + cd -----> Subtract cd from both sides
10c - cd = f - 13 ------> Pull out c
c(10 - d) = f - 13 -----> Divide by (10 - d)
c = (f - 13)/(10 - d)
Answer:
5000-5000×0+500+600-1100+10+10-20=5000