Answer:
3x +3
Step-by-step explanation:
5 + 3x - 2
Combine like terms
3x +5-2
3x +3
Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°
Answer:
Hoping someone else can answer with more confidence, but here's what I have:
on the left hand side:
upper is partial/penumbral lunar eclipse
lower is total solar eclipse
on the right hand side:
on the top: it's impossible for the moon to be behind the sun, so I'm not sure what they want there
middle is total solar eclipse
bottom is partial/penumbral lunar eclipse
Hope I helped at least a little
20...just draw 20 coins or something
