Answer:
3x + y = -1
Step-by-step explanation:
y-5=-3( x+2)
once you distribute, you get y-5=-3x-6
then, add 5 to each side and get y=-3x-1 (this is slope intercept form)
finally, add 3x to each side to get 3x+y=-1 (standard form: Ax + By = C)
<u>The sum</u> of <u>the measures</u> of all <u>interior angles</u> in a <u>quadrilateral</u> is always equal to 360°.
If m∠R = (2x)°, m∠S = (3x – 35)° and m∠T = (x + 35)°, then the measure of the angle U is
m∠U=360°-(2x)°-(3x-35)°-(x+35)°=360°-(2x)°-(3x)°+35°-x°-35°=360°-(6x)°.
If quadrilateral RSTU is parallelogram, then
- m∠R=m∠T;
- m∠S=m∠U;
- m∠R+m∠S=m∠S+m∠T=180°.
Check this conditions: 2x=x+35 ⇒ x=35°.
If x=35°, then
- m∠R=(2·35)°=70°;
- m∠S=(3·35-35)°=70°;
- m∠T=(35+35)°=70°;
- m∠U=360°-(6·35)°=150°.
You get quadrilateral RSTU that cannot be parallelogram, because 70°+70°≠180°.
Answer: strictly correct choice is D (also choice C is correct)
