Given: ∠ DEF
To construct: ∠TSZ ≅ ∠DEF
Construction: Consider the attachment
Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST
Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.
Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.
Step-04: Now, join the point SQ and extend up to Z such that EF = SZ
Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF
Answer:
$2,226.96
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.
<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time
</em>
<em />
First, change 10% into its decimal form:
10% -> 
-> 0.1
Now lets plug in the values into the equation:
The final amount after 15 years is $2,226.96
Answer:
Combine like terms onto one side of the equation
Step-by-step explanation:
You have
-x^2 -4x - 3 = 2x + 5
It seems that we should combine like terms to make this equations smaller.
-x^2 - 4x - 3 - 2x - 5 = 0
-x^2 -6x - 8 = 0
- (x + 2)(x + 4) = 0
x = -2 or x = -4
