Answer:
360-(124+124)= 360-248=122 divided by 4=30.5
Answer:
10/11
Step-by-step explanation:
The fractions already have like denominators so you just add the numerators as there is no need to find the LCM but just in case
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°
Answer:
$0.46
Step-by-step explanation:
Price= $5.75
Sales tax= 8%
8/100 because we're looking for 8% from 100%
Multiply
5.75*0.08
Answer:
<em>The number is 46</em>
Step-by-step explanation:
<u>Equations</u>
Suppose:
a = One digit of the number
b = Tens digit of the number
The sum of the digits is 10:
a + b = 10
The number expressed as two-digits quantity is ab, and its value is
10a+b
When we add 18 to that number, we have:
10a+b+18
And that is represented as the number reversed:
10a+b+18=10b+a
Simplifying:
9a+18=9b
Dividing by 9:
a + 2 = b
Substituting in the first equation:
a + a + 2 = 10
2a = 8
a = 4
b = a + 2 = 6
Thus the number is 46
