Answer:
BE = 49
Step-by-step explanation:
In triangle BDC
65^2=56^2+BD^2
65^2-56^2=BD^2
4225-3136=BD^2
1089=BD^2
33=BD
In triangle FDE
65^2=63^2+DE^2
4225-3969=DE^2
256 = DE^2
16=DE
since ED+DB=BE
THEREFORE
16+33=BE
49=BE
Answer: Restaurant: $34.50; Toy Company: $4.50
Step-by-step explanation:
Let's represent the situation mathematically. I will use "r" for the restaurant stock price and "t" for the toy company stock price.
represents the value of their stock portfolio.
represents that the restaurant stock was worth $30 more than the toy company stock.
We need to multiply the second equation by 60 to balance the terms out. This gets us
.
Now, you can combine the like terms in these equations to get
, which can be simplified further to
.
Now you need to divide both sides by 102 to remove the coefficient, getting you
. This means that the price of the restaurant stock was $34.50.
To find the toy company stock price, subtract $30 from the restaurant stock price, because the restaurant stock is worth $30 more than the toy company stock. This gets you $4.50.
Answer:
∠ ABD = 108°
Step-by-step explanation:
from the diagram
∠ ABD = ∠ ABC + ∠ CBD ( substitute values )
5x - 12 = 3x + x + 12
5x - 12 = 4x + 12 ( subtract 4x from both sides )
x - 12 = 12 ( add 12 to both sides )
x = 24
Then
∠ ABD = 5x - 12 = 5(24) - 12 = 120 - 12 = 108°
Thats the answer for the first one.
In a question, when it states "a number" without giving a real number, that means it's a variable. Variables are normally letters. In the question, it gives you what letter to use, "y". Start the equation.

The word "decreased" is used when subtracting. In this equation, you are going to be subtracting. Add that to the equation.

"Negative" is used for negative numbers. For example, "negative 1" is going to be -1. In the question, it says "negative 7", which is going to be -7. Add that to the equation.

The phrase "Is the same thing as" means equal. Add that to the equation.

At last, 48. 48 is just 48 as a number. Add that to the equation.

Your answer is: y - (-7) = 48