Answer:
|-30| + |25|
Step-by-step explanation:
The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.
A. |-30| + |25| = 30 + 25 = 55
B. -30 - 25 = -55
C. -30 + 25 = -5
D. |-30| - |25| = 30 - 25 = 5
The correct expression is |-30| + |25| since it it the only expression that equals 55.
Since the origin is the center of dilation. Take every vertex in the polygon ABCD and multiply it by 2 since the dilation factor is 2. It will result to polygon A'B'C'D'. Compare then the points given to the new points after dilation.
[(-3)+9] × [(-10)-(-9)]
6 × (-10 + 9)
6 × (-1)
= -6
Answer:(-2,7)
Step-by-step explanation:
Refer to the diagram shown below.
Because ACFD is a parallelogram, its opposite angles are equal. Therefore
x = m∠ACF = m∠BCF = 48°
Similarly,
y = m∠CAD = m∠CFD
The sum of the angles inside a parallelogram is 360°. Therefore
48° + x + y + y = 360°
Because x = 48°,
48° + 48° + 2y = 360°
2y = 360° - 96° = 264°
y = 132°
Because ABED and FEBC are congruent, therefore
y = m∠DAB = m∠CFE = 132°
x = m∠ADE = m∠FCB = 48°
Because FEBC is a parallelogram, the opposite angles are equal. Therefore
m∠CBE = m∠CFE = y = 132°
m∠BCF = m∠BEF = x = 48°
Answer:
The measures of all angles of trapezoid FEBC are
m∠BCF = 48°
m∠BEF = 48°
m∠CBE = 132°
m∠CFE = 132°