Answer:
2 nickels and 21 dimes
Step-by-step explanation:
0.05N + 0.1D = 2.2
N + D = 23
Let's use the substitution method. Solve the second equation for N.
N = 23 - D
Now where you see N in the first equation substitute N with 23 - D.
0.05(23 - D) + 0.1D = 2.2
1.15 - 0.05D + 0.1D = 2.2
0.05D = 1.05
D = 1.05/0.05
D = 21
Now substitute 21 for D in the second original equation and solve for N.
N + 21 = 23
N = 2
Answer: 2 nickels and 21 dimes
#2
Change mixed numbers to improper fractions. Then change division to multiplication by the reciprocal.
1 1/2 divided by 3/5=
(3/2) * (5/3) = 5/2 = 2 1/2
#3
(5/9) divided by (5/3)
(5/9) * (3/5) =3/9 = 1/3
Yes, the two triangles are similar.
Similar triangles have equal corresponding angles and proportionate sides.
We can see that the corresponding angles of the two triangles are equal because although the smaller triangle is rotated, the angle measurements of both triangles are 23°, 67°, and 90°.
The corresponding sides are proportionate because they have a set ratio. The sides of the smaller triangle are all 1/4 the length of the corresponding sides of the bigger triangle.
