Note: Here tax rate is note given. Consider the tax is not applied.
Given:
Lin’s Father is paying for $50 meal.
Discount = 15%
To find:
The price of a discounted meal before the tax.
Solution:
Let x be the price of a discounted meal before the tax.
According to the question,
Price of meal after discount = Price of meal before discount - Discount



Divide both sides by 0.85.



Therefore, the price of a discounted meal before the tax is $58.824.
Remember that if in a triangle

°and

, we can form two tingles.
In our case:

,

, and c=b.
To determine how many triangles we can form with the given measures, we are going to find the value of

first:

Now, lets check if that value satisfy the inequality

:
Our triangle satisfies the inequality; therefore, we can conclude that we can form two triangles with the given measures.
Answer: (-1, 1)
<u>Step-by-step explanation:</u>
Let D represent the fourth vertex with coordinate (x, y)
Since ABCD is a rectangle, then BC || AD and AB || DC
Since BC is parallel to AD, then they have the same slope (m) = -1
Equation of line AD: y - (-2)) = -1(x - 2) ⇒ y + 2 = -x + 2 ⇒ y = -x
Since AB is parallel to DC, then they have the same slope (m) = 1
Equation of line DC: y - 7 = 1(x - 5) ⇒ y - 7 = x - 5 ⇒ y = x + 2
D is where the two lines intersect so the next step is to solve the system of equations: y = -x and y = x + 2
Using substitution method: -x = x + 2 ⇒ -2x = 2 ⇒ x = -1
Now solve for y: y = -x ⇒ y = -(-1) ⇒ y = 1
x = -1 and y = 1
Answer: the 1st & 3rd sequence is correct
Step-by-step explanation:
R=a2/a1
8/2=4
2*4=8
8*4=32
32*4=128
Same for the other sequence
10/5=2
5*2=10
10*2=20 therefore this is not a geometric
Last is 18/3=6
3*6=18
18*6=108
108*6= 648