Answer:
Points ABC and points OBC form two separate triangles. Triangle ABC is made up of angles BAC, ABC, ACB, while triangle OBC is made up of angles BOC, OBC, OCB. Since interior angles of triangles add up to 180 degrees, m<BAC + m<ABC + m<ACB = 180 and m<BOC + m<OBC + m<OCB = 180. 180 is equal to 180, so m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB.
Since OB bisects <ABC and OC bisects <ACB, m<ABO = m<OBC and m<ACO = m<OCB. We can also say that m<ABC = 2m<ABO and m<ACB = 2m<ACO. Substitute and simplify the equation.
m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB
m<BAC + 2m<ABO + 2m<ACO = m<BOC + m<ABO + m<ACO
m<ABO + m<ACO = m<BOC - m<BAC
Answer:
-5
Step-by-step explanation:
From Thursday to Friday the points on the graph change by -5
Two advanced for my simple mindedness
Answer:
120
Step-by-step explanation:
<u>Substitute the given number for k into the expression:</u>
50 – 7(–10)
<u>Multiply:</u>
50 – (–70)
<u>Simplify:</u>
50 + 70
<u>Solve:</u>
120
<em>Hope this helps! </em>:)
Answer:
$108
Step-by-step explanation:
<u>Use the equation i = prt </u><u>(interest = principle*rate*time)</u><u>:</u>
Principle: $900
Rate: 0.06 (6%)
Time: 2 years
<u>Put it all in an equation:</u>
i = 900*0.06*2
i = $108