Answer: the answer is C
Answer:
1) 128°
2) 126°
3) 108°
The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.
38 + 90 + (180-x) = 180
38 + 90 + 180 - x = 180
38 + 90 + 180 - 180 - x = 0
38 + 90 + 180 - 180 = x
128 = x
again, adding all the interior angles makes 180°. use this to make the equation.
3x + (5x-6) + 90 = 180
3x + 5x - 6 = 90
8x = 96
x = 12.
x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,
180 - (5x-6) = the answer
180 - 5x + 6 = the answer
substitute x for 12
180 - 60 + 6 = the answer
126 = x
again, adding all the interior angles together makes 180°.
(a + 10) + 44 + (180-2a) = 180
a + 10 + 44 + 180 - 2a = 180
-a + 234 = 180
234 - 180 = a
54 = a
however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.
x = 108
Answer:
Step-by-step explanation:
R(0,0)
A=((0+2a)/2,(0+2b)/2)=(a,b)
S(2a,2b)
B=((2a+2c)/2,(2b+2d)/2)=(a+c,b+d)
T(2c,2d)
C=((2c+2c)/2,(2d+0)/2)=(2c,d)
V(2c,0)
D=((2c+0)/2,(0+0)/2)=(c,0)
R(0,0)
slope of AB=(b+d-b)/(a+c-a)=d/c
slope of DC=(d-0)/(2c-c)=d/c
slope of AD=(0-b)/(c-a)=-b/(c-a)
slope of BC=(d-b-d)/(2c-a-c)=-b/(c-a)
Answer:
The amount of calories in each servings is 154 calories.
Step-by-step explanation:
A recipe for a vegetable dish contains a total of 924 calories.
This can serve six people.
So, dividing the total amount of calories by the total number of people will yield the amount of calories in each servings.
Hence, amount of calories present in each serving is,
Therefore, the amount of calories in each servings is 154 calories.
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)
Answer: C (-2,1)
Step-by-step explanation: