Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126
The answer is x=4
5+3(x-1)=5x-6
Do the parentheses
5+3x-3=5x-6
Combine like terms
3x+2=5x-6
Subtract 3x to both sides
2=2x-6
Add 6 to both sides
8=2x
Divide by 2 on both sides
4=x
Answer:
85.36 far north from the center
10.36 far east from the center
Step-by-step explanation:
The extra direction taken in the north side is x
X/sin(360-315)=50/sin 90
Sin 90= 1
X/sin 45= 50
X= sin45 *50
X= 0.7071*50
X= 35.355 steps
X= 35.36
Then the west direction traveled
West =√(50² - 35.355²)
West = √(2500-1249.6225)
West= √1250.3775
West= 35.36 steps
But this was taken in an opposite west direction
From the center
He is 35.36 +50
= 85.36 far north from the center
And
25-35.36=-10.36
10.36 far east from the center
400 divided by 1 million can be given as:
400/1000000
finding gcf of 400 and 1000000
gcf of 400 and 1000000 is 400
dividing both numerator and denominator by 400 we get
1/2500
Answer:
The first one of the second column
Step-by-step explanation:
Multiply -5 by each number inside the parenthesis remembering that when you multiply two negative numbers the result is positive
-5(4x-7)+8=3x
-20x+35+8 = 3x