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Answer:
x = 117°
Step-by-step explanation:
The angle inside the triangle and 101° are adjacent and supplementary, thus
angle inside triangle = 180° - 101° = 79°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , thus
x = 38° + 79° = 117°
Answer:
x=7
Step-by-step explanation:
AC=3x+3 AB=-1+2x and BC=11
AC = AB + BC
ALL THE STEPS:
3 X + 3 = - 1 + 2 X + 11
3 X + 3 = 2 X + 10
3 X + ( - 2 X ) + 3 = 2 X + ( - 2 X ) + 10
X + 3 = 10
X + 3 + ( - 3 ) = 10 + ( - 3 )
X = 7
29.53 written as a decimal would be <span>0.2953.</span>
We have to work on the two coordinates separately.
The x coordinate changed from -4 to -2, which means that the point gained 2 units on the x axis, which in turn means that the point was shifted 2 units to the right.
The y coordinate didn't change, which means that the point is not moving vertically.
So, the point was moved by a translation of 2 units to the right.
