B1 to H1, B3 to H2, B2 to H3.
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
Answer:
Add the two angles: 43° + 47° = 90°.
Step-by-step explanation:
A right triangle has an angle that equals 90°. Complementary angles equal 90°. Therefore, if you add these two angles, you will know whether or not △ABC is a right triangle. Triangle △ABC is broken up into two angles, m∠ABD and m∠DBC. When the measures m∠ABD and m∠DBC are added together, they equal 90°, and thus, form a complementary angle.
Hope this helps,
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
〽Hola User_______________
⭐Here is Your Answer..!!!
______________________
↪Cartesian Coordinates of the system....!!
↪X = rcos⊙ and Y = rsin⊙
↪since here Radius (r) = 10 units and Theta (⊙) = 225°
↪there fore substituting we get as ..
↪X = 10 ( cos 225° ) = 10 * -1/ root 2 = -7.071
↪Y = 10 ( sin 225° ) = 10 * -1/root2 = = -7.071
↪the cordinates are as follows
↪(x,y) = (-7.071, -7.071 )
