Answer:
ASA
Step-by-step explanation:
The triangles are already given 1 congruent corresponding angle and 1 congruent corresponding side. However, there are vertical angles at the point where the triangles intersect, meaning that they are congruent.
So now you have 2 congruent corresponding angles. But they're in the order of Angle-Side-Angle (ASA).
Answer:
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40
Step-by-step explanation:
Ducks have 1 head. Dogs have 1 head.
Ducks have 2 feet. Dogs have 4 feet.
If x = no. of ducks and g = no. of dogs
x + g = 25
2x + 4g = 80
Let's use substitution to solve.
x + g = 25 ⇒ x = 25 - g
replace x with 25 - g in the other equation and solve for g
2x + 4g = 80
2(25 - g) + 4g = 80
50 - 2g + 4g = 80
50 + 2g = 80
2g = 30
g = 15
Now use g = 15 in an earlier equation to find x.
x + g = 25
x + 15 = 25
x = 10
Step-by-step explanation:
12. n^2+2n
if you insert 1 for k and then work up by inserting 2 for k and adding those together and stoping at n.
13. 8-2(2^n)
if you insert 3 for k and then work up by inserting 4 for k and adding those together and keep on going but stopping at n.
Hope that helps :)
