(a) m∠RQS = (1/2)m∠QPR = 37°
(b) m∠QPR = m(arc QR) = 74° . . . . . an arc has the same measure as its central angle
Answer: B 1/m
Step-by-step explanation:
The first answer of the missing blank is 4/5.
The second answer of the missing blank is 2.
The third answer of the missing blank is 25.
*For all of these solutions, I will be using the common rules for logarithms.*
Solution for the first question:
Log9^4/5 must equal log9^4-log9^5, or it could also equal the more proper version, which is simplified: 2log9^2-log9^5.
Solution for the second question:
Log3^22 must equal log3^11+log3^2, if you break it down.
Solution for the third question:
Log9^25 must equal 2log9^5 because it will be like this when simplifying it:
log9^25=2log9^5
log9^5²=2log9^5
2log9^5=2log9^5
These are all of the step-by-step procedures for all three of these given questions. Anyways, I hope that this helped you!
Vertically opposite angles are always equal.
Given angles are (8x+12)° and (3x+37)°
=> (8x+12)° = (3x + 37)°
=> 8x - 3x = 37-12
=> 5x = 25
=> x = 25/5 = 5°
Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°
Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
Answer:
<h2>
$400</h2>
Step-by-step explanation:
Using the formula for calculating the simple interest expressed as;
Simple Interest = Principal * rate * time/100
Note that the principal is the amount he originally borrowed
I = PRT/100 ............ 1
Amount paid off A = Principal+Interest
A = P+I ............ 2
From equation 2; I = A-P......... 3
Substitute equation 3 into 1;
A-P = PRT/100
Given A = $440, R = 10%, Time = 1year
Substitute the given parameters into the resulting equation;
440 - P = P*10*1/100
440-P = 10P/100
440-P = 0.1P
440 = 0.1P+P
440 = 1.1P
Divide through by 1.1;
1.1P/1.1 = 440/1.1
P = $400
<em>Hence the amount Mr Noel originally borrow is $400</em>
