Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28
Answer: $2500
Step-by-step explanation:
4% of what number = 100
0.04 x ? = 100
divide both sides by 0.04
? = 100/ 0.04
= $2500
It looks like #6 is adding 4, and #7 is adding 3
Answer:
X=18
Step-by-step explanation:
Pentagon = 540 degrees total
Find Known Angel total:
95+ 90= 185
subtract from 540:
540-185=355
add all unknown angles together:
(7x-4)+ (3x+23)+(9x-6)= 19x+13
set up equation and solve
19x+13=355
19x=355-13
19x= 342
x=342/19
x=18
Answer:
1.75 miles
Step-by-step explanation:
If he rides around his block 3 times it is 1.5 miles and if he only rides around his block half-way not a time it is a quarter of a mile added on instead of a half.