Let ∠RTS=∠RST = a (say)
∠QUA=∠QSU= b(say)
then we know , at point S, a+40+b=180. so, a+b=140 we'll use this later.
consider trianglePQR, ∠P+∠Q+∠R=180
i.e.P+(180-2b)+(180-2a)=180
P+180+180-2(a+b)=180 ⇒P+180-2(a+b)=0 ⇒P=2(140)- 180=280-180=100
hence,answer is E
Answer:
Step-by-step explanation:
We want to simplify the radical expression:
We write √6 as √(2*3).
This implies that:
We now split the radical for √(2*3) to get:
We obtain a perfect square at the far right.
This simplifies to
This gives us:
and finally, we have:
Answer:
7 and 504
Step-by-step explanation:
one week equals 168 hours
1176/168=7
3×168=504
3 1/2r=28
3.5r=28
cross of 3.5 and r remains
divide 28 and 3.5
and r=8
r=8
Next to angle x is 102° and is you add 102 to angle x it has to equal 180 because that’s the value of half the circle so you do 180-102 which will give you 78
