Answer:
see below
Step-by-step explanation:
1. m∠DEF = m∠_FEK___ = 44° = Def. of ∠ bisector
2. m∠DEK = m∠_DEF___+m∠FEK___= _angle addition postulate________________
3. m∠DEK = _44___ + _44___ = 88° = Substitution, Algebra
4. DE = _KE____ = Given
5. EF = _FE____ = Reflexive property
6. △DEF ≅ △_KEF____ = _SAS postulate________________
7. DF = FK_____ = ___CPCTC (corresponding parts of congruent triangles are congurent)______________
8. KF = 1/2DK =8 _____ = Algebra, 7
There are two ways to calculate his new pay. Choose whichever is easier for you.
OPTION 1:
multiply current pay by 20%, then add the result to the current pay
Step 1:
multiply pay by 20% increase
=$455 * 20%
=$91 increase
Step 2:
add pay increase from step 1 to current pay rate
=$455 + $91
=$546 new weekly rate
OPTION 2:
multiply current pay by (1 + 20%)
=($455)(1 + 20%)
=(455)(1.20)
=$546 new weekly rate
ANSWER: His new weekly rate is $546 per week.
Hope this helps! :)
Step-by-step explanation:
the common denominator for these two is 45, as you have to times 5 by 9 to get this you will have to times 3 by 9 aswell so that fraction would be 27/45.
as you have to times 9 by 5 to get 45 you will have to times 5 by 5 which is 25 so that fraction would be 25/45
3/5=27/45 5/9=25/45
27 is bigger than 25
() = Fraction
Answer:
1. x=
−(3
/5
y)+
(23
/5)
2. x=−2y+6
Step-by-step explanation:
Let's solve for x.
5x+3y=23
Step 1: Add -3y to both sides.
5x+3y+−3y=23+−3y
5x=−3y+23
Step 2: Divide both sides by 5.
5x
/5
=
−((3y+23)
/5)
x=
−(3
/5
y)+
(23
/5)
------------------------------------------------
Let's solve for x.
2x+4y=12
Step 1: Add -4y to both sides.
2x+4y+−4y=12+−4y
2x=−4y+12
Step 2: Divide both sides by 2.
(2x
/2
)=
−((4y+12)
/2)
x=−2y+6
Hope it helped!
