Define a variable. Write and solve each equation. 9. Anna wants to take horseback riding lessons.
She is given $200 for her birthday to cover the
cost. She has to pay $20 for grooming supplies.
If the lessons are $30 an hour, how many lessons
can Anna take?

The answer is x = 6

Let us first define x to be the number of hours of riding lessons she can take.

X = Hours of lessons

Now, she has $200, she needs to pay $20 for grooming supplies, and the lessons cost $30 an hour. We to find the maximum amount of hours of lessons she can take, so in other words, we want to make her broke. To do this, we first convert the words into an equation:

200 - 20 - 30x = 0

Simplifying, we get

180 = 30x

x=6

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it