Answer:
∠ RQS = 138°
Step-by-step explanation:
Since PR and PS are tangents to the circle, then
∠ QRP = ∠ QSP = 90°
The sum of the interior angles of PRQS = 360°
Subtract the sum of the interior angles from 360° for ∠ RQS
∠ RQS = 360° - (90 + 90 + 42)° = 360° - 222° = 138°
To solve
if you have |a|=b, solve a=b and a=-b
|4x+12|=16
solve
4x+12=16 and 4x+12=-16
minus 12 both sides
4x=4 and 4x=-28
divide both sides by 4
x=1 and x=-7
Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
Gross pay = $2,759.00
Total deductions = 7.65%+12%+7% = 26.65% = 0.2665
By thumb rule, rent and other fixed expenses ≤ 28% of Monthly gross salary
Therefore,
Allowed housing and fixed expenses = 0.28*2,759 = $772.52
Then, a. is the correct answer.
Answer:
(O,2)
Step-by-step explanation:
So I signed in to iReady did the question and got it right.
