Vector QP= (-5+6, 11-4) = (1, 7)
its magnitude is QP= sqrt( 1 + 49)= sqrt (50)=5sqrt2
18 = 2×3×3
30 = 2×3×5
The LCM will have factors of 2, 3², and 5. (Choose the highest power of each prime.)
2×3×3×5 = 90 is the LCM of 18 and 30.
Applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
<em><u>Recall:</u></em>
- Alternate angles are congruent and have equal angle measures.
- Angles on a straight-line = 180 degrees.
<em>The diagram showing the information and sketch of the Highland Park is attached below (see attachment).</em>
<em />
<em><u>Thus:</u></em>
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
m<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
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Learn more here:
brainly.com/question/15234579
Answer:
7.23km/h
Step-by-step explanation:
Speed = distance/time
Given
distance = 6.36km and
Time = 53minutes
Convert 53minutes to hour.
60 minutes = 1 hour
53 minutes = x hour
Cross multiply
X hour x 60 = 53
Xhour = 53/60
X = 0.88 hour
Therefore
Speed = 6.36km /0.88hr
= 7.23km/h
375 g because 30/12=2.5 then 150*2.5=375