Answer:
∠A = 90
∠B = 30
∠C = 60
Step-by-step explanation:
Let ∠B = x
∠A = 3x
∠C = x + 30
Angle sum property of triangle: Sum of three angles of triangle is 180
x + 3x + x + 30 = 180 {Combine like terms}
5x + 30 = 180
5x = 180 - 30
5x = 150
x = 130/5
x = 30
∠A = 3*30 = 90
∠C = 30 + 30 = 60
We want the final coordinate of K to become (-3,1). If you reflect across the y-axis, you transform

So, we need to move K to (3,1), and then reflect it across the y-axis. Since K starts at (-1,4), we have to move it 4 units to the right and 3 units down.
ABCD is a parallelogram Given
AE=CE, BE=DE <span>The diagonals of a parallelogram are bisect each other
</span>∠AEB=∠CED Vertical angles are congruent
ΔABE is congruent to ΔCDE SAS theorem<span>
</span>
I believe it’s a trapezoid but i’m not too sure... sorry :((
Answer:
x = 10
Step-by-step explanation:
First, distribute:

Next, subtract
from both sides:

(multiply
by 2 to get common denominator,
)

Next, subtract
from both sides:

(multiply
by 2 to get common denominator,
)
⇒ 
Next, multiply both sides by 10:

FInally, divide both sides by -1:
x = 10