Answer:
m∠ABC = 45°
Step-by-step explanation:
See the attached figure.
As shown in the figure
Line C B extends through point D to form the exterior angle that is 135 degrees.
So, m∠ABD = 135°
But m∠ABC + m∠ABD = 180°
∴m∠ABC = 180° - m∠ABD = 180° - 135°= 45°
Also, we should know that
m∠ABD = m∠BAC + m∠ACB
So, m∠ACB = 135° - 75° = 60°
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<u>Very important note:</u>
If we replaced the location of B and C
SO, m∠ABC = 60° and m∠ACB = 45°
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<7 = <5 (vertical angles)
<5 = <1 (corresponding angles)
so <7 = <1 = 135°
Answer
<7 = 135°
Glad you're happy.
Q18
360 = 0.2 a
a = 360 / .2 = 5(360)= 1800 audience members
Q19
Assuming the information is consistent we ignore the trapezoid; we have two triangles base 1.1 height 3.8 so the area for the pair is 2 (1/2) (1.1) (3.8) = 4.18 sq inches.
Q20
6(5)^2 - 5(4) + 8 = 6(25) -20 + 8 = 150 - 20 + 8 = 138
Q21
This is an LCM or least common multiple problem
LCM(12,8) = LCM(3(4),2(4))=3(2)(4)=24 weeks
maybe 1/5 (409) ::(880) 1+2
The period of the function can be calculated using <span><span><span>2π</span><span>|b|</span></span><span><span>2π</span><span>|b|</span></span></span>.Period: <span><span><span>2π</span><span>|b|</span></span><span><span>2π</span><span>|b|</span></span></span>Replace <span>bb</span> with <span>11</span> in the formula for period.Period: <span><span><span>2π</span><span>|1|</span></span></span>
