Answer:
a = (-7)
Step-by-step explanation:
Firstly clear the bracket...,
-6(-2 + a) = 12 - 6a
Then substitute the simplified version in place of bracket...,
; 12 - 6a = 54
; -6a = 54 - 12
; -6a = 42...then divide both sides by (-6)
Therefore...., a = (-7)
Answer:
rate of change
Step-by-step explanation:
The rate of change (ROC) is the speed at which a variable changes over a specific period of time.
Answer:
x = 11/10
Step-by-step explanation:
we have from statement:
-1=1 - 4(-5+4x) – 4x
we apply distributive property:
-1 = 1 -4*(-5) -4*(4x) -4x
so we have:
-1= 1+20 -16x -4x
-1 = 21 -20x
-22=-20x
so we have:
x=22/20
x=11/10
we can substitute the x value found:
-1 = 1 - 4(-5+4*(11/10)) – 4*(11/10)
-1 = 1+20 -17.6 -4.4
-1 =21 -22
so we have:
-1 = -1
Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles

Step 3: Angles forming a linear pair sum to 180°

Step 4: By transitive property of equality
step 2 = step 3

Step 5: By algebra cancel the common terms in both side.

Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
Step-by-step explanation:

= 4
.......