Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
This has infinite solutions because x + x - 2 = 2x - 2
It does not matter what number x is
Answer: 7
Step-by-step explanation: All you have to do is use absolute value when a number is closed in so you would say 63 divided by positive 9 = 7
Answer:
b = 10
Explanation:
Lets start by combining like terms (b):
3/2b + 1/5b
to combine these fractions you must get them to both have the same denominator:
3/2 · 5/5 = 15/10 multiply top and bottom by other fractions denominator
1/5 · 2/2 = 2/10 multiply top and bottom by other fractions denominator
15/10 + 2/10 = 17/10
17/10b = 17
Now we want to get the b to be by itself, so lets first multiply both sides by 10:
17b = 170
Now lets divide both sides by 17:
b = 10
Hope this helped!
Answer:
11.5
Step-by-step explanation:
46 divided by 4 = 11.5
