The unknown is the distance in kilometres
The given is the distance in miles=140 miles
1 mile=1.6093km
140 miles=?
140/1*1.6093km=225.302km
Therefore the 140 miles in km is 225.302km
Set each expression from the parentheses equal to 0 separately like so:
Equation 1: x - 4 = 0
Equation 2: -5x + 1 = 0
Now for each equation solve for x!
Equation 1:
x +(- 4 + 4) = 0 + 4
x = 4
Equation 2:
-5x +( 1-1) = 0 - 1
-5x/ -5 = -1 / -5
x = 1/5
Check:
(4 - 4)(-5*4 + 1)
(0) (-20 + 1)
(0) (-19)
0 = 0 -------------------------> correct!
(1/5 - 4)(-5 * 1/5 + 1)
(-19/5)(-1 + 1)
(-19/5)(0)
0 = 0 -------------------------> correct!
smaller x = 1/5
larger x = 4
Hope this helped!
Answer:
volume = 1134.6 cm³
Step-by-step explanation:
volume = 8.2 x 13.7 x 10.1 = 1134.6 cm³
The first thing we must do for this case is to calculate the scale factor.
For this, we make the relationship between two parallel sides.
We have then:

Substituting values we have:

We are now looking for the value of AB
We have then:

Substituting values:

Answer:
The scale factor is:

The value of AB is:

Answer:
31°
Step-by-step explanation:
The upper and lower triangles are similar, because their bases are parallel.
This implies that their correspondent angles have the same measure: the correspondent angle of x is the 31° angle.