Answer:
17
Step-by-step explanation:
< ABD = <ABC + < CBD
Substitute in what we are given
87 = 9x-1 + 6x+58
Combine like terms
87 = 15x +57
Subtract 57 from each side
87-57 =15x +57-57
30 = 15x
Divide by 15
30/15 =15x/15
2=x
We want to find <ABC
<ABC = 9x-1
= 9*2-1
=18-1
=17
Answer:
9a + 6b and 5c - 3d
Step-by-step explanation:
(a)
4a + 7b + 5a - b ← collect like terms
= (4a + 5a) + (7b - b)
= 9a + 6b
(b)
6c + 4d - c - 7d ← collect like terms
= (6c - c) + (4d - 7d)
= 5c - 3d
Answer:
w = 2, EF = 30 , FG = 42
Explanation:
We have EF = 5w + 20 and FG = 7w + 28
Since these points E, F and G are col-linear points we have.
EG = EF + FG
And given that EG = 72
So, EF+EG = 72
5w + 20 + 7w + 28 = 72
12w + 48 = 72
12 w = 24
w = 2
So EF = 5w + 20 = 5x2 + 20 = 30
FG = 7w + 28 = 7x2 + 28 = 42
Answer:
Equations 1 & 3 are correct.
Explanation:
Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.