Answer:
34°
Step-by-step explanation:
If m∠ADE is with 34° smaller than m∠CAB, then denote
m∠ADE=x°,
m∠CAB=(x+34)°.
Since DE ║ AB, then
m∠ADE=m∠DAB=x°.
AD is angle A bisector, then
m∠EAD=m∠DAB=x°.
Thus,
m∠CAB=m∠CAD+m∠DAB=(x+x)°=2x°.
On the other hand,
m∠CAB=(x+34)°,
then
2x°=(x+34)°,
m∠ADE=x°=34°.
Answer:
206 albums The King of Limbs and 34 albums The Best of Radiohead sold
Step-by-step explanation:
Let x be the no. of The album The Best of Radiohead sold .
We are given that total sales of both albums in one week is 240 albums.
So, number of albums The King of Limbs = 240 -x
Cost of 1 album The Best of Radiohead by Radiohead is $13.83
Cost of x album The Best of Radiohead by Radiohead = 13.83x
Cost of 1 album The King of Limbs, by Radiohead= $7.83
Cost of (240-x) album The King of Limbs, by Radiohead=7.83(240-x)
The total cost revenue of both albums in that week is 2083.20
So, 13.83x+7.83(240-x)=2083.20
13.83x+1879.2-7.83x=2083.20
13.83x-7.83x=2083.20-1879.2
6x=204
x=34
The no. of The album The Best of Radiohead sold is 34
Number of albums The King of Limbs = 240 -x =240-34=206
Hence 206 albums The King of Limbs and 34 albums The Best of Radiohead sold