Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.
Both sides are equal, so the equation has infinite solutions.
25 - 4x = 15 - 3x + 10 - x
= 25 - 4x = 25 - 3x - x
= 25 - 4x = 25 - 4x
Answer:
2.25
Step-by-step explanation:
2.4 - 0.15
Using place value :
2 = Unit (2 wholes)
4 = tenth place ( 4 tenths)
To subtract 0.15
0 wholes ; 1 tenth ; 5 hundredth
1 tenth can be split into 10 separate hundredths
Hence,
For 2.4
We have ;
2 wholes ; 3 tenths and 10 hundredths
Subtracting 0.15 ;0 wholes ; 1 tenth ; 5 hundredth
(2 - 0) wholes = 2 whole
(3 - 1) tenth = 2 tenth
(10 - 5) hundredth = 5 hundredth
Hence, the difference between (2.4 and 0.15) is :
2 whole ; 2 tenth ; 5 hundredth
Which is equal to : 2.25