Answer:
∠ A = 72°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
∠ ECD = 180° - (90 + 54)° = 180° - 144° = 36°
∠ ACB = ∠ ECD = 36° ( vertical angles )
Since AC and BC are congruent then Δ ABC is isosceles, thus the base angles are congruent, that is
∠ A = ∠ B
∠ A = =
= 72°
In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?
Answer: 80°
Step-by-step explanation:
ST = SP and m∠R = 130°
If m∠R = 130°, then,
QPS = 130° ( Opposite angles of a parallelogram are equal)
QPS + SPT = 180° (angle on a staght line)
130° + SPT = 180°
SPT = 180° - 130° = 50°
PTS = SPT = 50° (Base Angle of an isosceles triangle)
m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)
m∠PST = 80°
Answer:
The minimum number of words left to write is 215
Step-by-step explanation:
Let
w -----> the number of words left to write
we know that
The number of words left to write plus the words written so far must be greater than or equal to 500 words
Remember that the word "at least" means "greater than or equal to"
so
Solve for w
Subtract 285 both sides
The minimum number of words left to write is 215