Answer:
The top angle of the triangle is, X = 68°.
Step-by-step explanation:
Let there is a triangle named PQR with bottom corner angles ∠ P and ∠ Q and the ∠ R is the angle at the top.
Now, given that ∠ P = 31° and ∠ Q = 81° and we have to find out ∠ R i.e. X.
In Δ PQR, we know, ∠ P + ∠ Q + ∠ R = 180°
⇒ 31° + 81° + X = 180°
⇒ X = 68°
Therefore, the top angle of the triangle is 68°. (Answer)
The answer is B you divided 6 by 2 then multiply it by 6
Answer:
The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.
Step-by-step explanation:
Key points:
- Discount is subtracted from the regular price of an item.
- Sales tax is added to the regular price of an item.
It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.
Two functions are provided are:
f (x) = 0.90<em>x </em>; the price of an item after the 10% member discount
g (x) = 1.07<em>x </em>; the total amount customers pay for a purchase after sales tax is applied.
Compute the total amount a member pays for an item with a regular price of x dollars as follows:
T (x) = Discount × Sales Tax
= 0.90 × 1.07 × <em>x</em>
= 0.963<em>x</em>.
Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.