m∠RSV = 3x + 5, m∠RST = 8x - 14 <em>given</em>
m∠RSV ≅ m∠VST <em>definition of segment bisector</em>
m∠RSV + m∠VST = m∠RST <em>angle addition postulate</em>
(3x + 5) + (3x + 5) = (8x - 14) <em>substitution</em>
6x + 10 = 8x - 14 <em>simplify (added like terms)</em>
10 = 2x - 14 <em>subtraction property of equality</em>
24 = 2x <em>addition property of equality</em>
12 = x <em>division property of equality</em>
Answer: x = 12
Answer:
x= -12 and y=8
Step-by-step explanation:
Let's solve your system by substitution.
−x−y=4;x+2y=4
Step: Solve−x−y=4for x:
−x−y=4
−x−y+y=4+y(Add y to both sides)
−x=y+4
−x
−1
=
y+4
−1
(Divide both sides by -1)
x=−y−4
Step: Substitute−y−4forxinx+2y=4:
x+2y=4
−y−4+2y=4
y−4=4(Simplify both sides of the equation)
y−4+4=4+4(Add 4 to both sides)
y=8
Step: Substitute8foryinx=−y−4:
x=−y−4
x=−8−4
x=−12(Simplify both sides of the equation)
Answer:
x=−12 and y=8
Answer and explanation:
m∠4 = 32°
m∠2 is a vertical angle to m∠4
