Answer: ||, |||, |
Step-by-step explanation:
Given that Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively.We prove that corresponding angles are congruent as follows: Statements Reasons
segment UV is parallel to segment WZ Given Points S, Q, R, and T all lie on the same line. GivenII.) m∠SQT = 180° Definition of a Straight AngleIII.) m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate I.) m∠SQV + m∠VQT = 180° Substitution Property of Equalitym∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRS Subtraction Property of Equality
∠SQV ≅ ∠ZRS Definition of Congruency Therefore, the most logical order of statements and reasons I, II, and III to complete the proof is ||, |||, |. I hope this helped.
Answer: 215
Step-by-step explanation:
750/x=25/100
750x100=75,000
75,000/25= 3,000
75,000+3,000= 78,000
Rewriting this <span>7-y=5x+11 in standard form involves only changing the order in which the terms appear:
</span><span>7-y=5x+11 becomes 5x + y + 11 - 7 = 0, or 5x + y + 4 = 0, or 5x + y = -4.</span>