Step-by-step explanation:
The above given expression "72t+8 " have to be factorized by the following methods.
<u>Step 1 : </u>
First we must check both numbers in order to obtain common factor for both ,for this equation "8" is the common factor for both .
<u>Step 2:</u>
After obtaining the common factor for the equation equation, we must now take the factor as common outside the bracket and form the equation as follows,
⇒ 8 * ( 9*t + 1 )
Here there are the two factors for the equation " 72 t+ 8 " that are <u>8 </u>and <u>9t+1.</u>
<u>Step 3 (optional) : </u>
Now check weather the factors are correct or not by multiplying factors with each other.
Multiplying ,
⇒ 8 * ( 9*t + 1 )
Gives -
⇒ 72 t+ 8
Answer:
Repeats itself
Has a minimum or maximum
Multiplying by the same number
Step-by-step explanation:
Step by step explanation
4n-8=5
4n= 5+8
4n=13
4/4 n = 13/4
n= 13/4
Answer:
The hourly wage of Ms. Franco is $28.38 .
Option (B) is correct .
Step-by-step explanation:
As given
Ms. Franco earned $709.54 in net pay for working 25 hours.
Thus

Putting values in the above

Hourly wage = $ 28.38
Therefore the hourly wage of Ms. Franco is $28.38 .
Option (B) is correct .
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°