Answer:
x=6/11
x≈0.545
Step-by-step explanation:
They are corresponding angles, so their measurements are congruent to each other. Therefore, you can set them equal to each other and solve for x:
19x+6=30x
6=11x
6/11=x
x=6/11
x≈0.545
Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is 
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so

we have


substitute

solve for x


therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF

we have

so


therefore
The ratio of the area of ∆ABC to the area of ∆DEF is 
Answer:

Step-by-step explanation:

Subtract 10 from both sides:

Divide both sides by
:

Placing
on the left:

For example, if the total charge is $27.50 and the distance ridden is 250 mi, we can calculate the additional cost per mile, as such:


You need to find which one is in order
For the function

We can use the formula for the axis of symetry, which is

With the values substituted, we get...

Therefore the axis of symmetry is