Answer:
20°
Step-by-step explanation:
x+40=60 (vertically opposite angle)
or, x=60-40
or, x=20°
Answer:
y = 12
Step-by-step explanation:
∵ m∠ABC = 40
∵ BD ray is the bisector of ∠ABC
∴ m∠ABD = m∠CBD = 20
In 2 Δ BAD and BCD:
∵ m∠BAD = m∠BCD = 90°
∵ m∠ABD = m∠CBD = 20°
∵ BD is a common side in the two triangles
∴ ΔABD congruent to ΔCBD⇒(AAS)
∴ AD = CD
∴ 3y + 6 = 5y - 18
∴ 5y - 3y = 6 + 18
∴ 2y = 24
∴ y = 24/2 = 12
<em>Evaluate 2x-4y for x=2 and y=4.</em>
Replace x with 2 and y with 4.
2(2)-4(4)
Simplify.
4-16
-12
Answer: x(x−6)
Step-by-step explanation: