Answer:
∠T = 67.5
∠V = 22.5
Step-by-step explanation:
Angles of a triangle rule: The angles of a triangle should add up to equal 180
That being said we create an equation to solve for x
180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )
Now that we've created an equation we want to solve for x
180 = 3x + x + 90
step 1 combine like terms
3x + x = 4x
now we have 180 = 4x + 90
step 2 subtract 90 from each side
180 - 90 = 90
now we have 90 = 4x
step 3 divide each side by 4
4x / 4 = x
90 / 4 = 22.5
we're left with x = 22.5
Now we want to find ∠T and ∠V
To do so we replace x in the given expressions with 22.5
for ∠V
∠V = x so ∠V = 22.5
for ∠T
∠T = 3x
* replace x with 22.5 *
3 (22.5) = 67.5
Hence ∠T = 67.5
Answer:
Aria unui paralelogram 
Step-by-step explanation:
Folosind formula:
Aria unui paralelogram = (baza x înălțimea)
= (3√2 x 2)
Aria unui paralelogram
Answer:
x = - 4, x = 1
Step-by-step explanation:
At the point of intersection
f(x) = g(x) , that is
(x + 3)² = 3x + 13 ← expand left side using FOIL
x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
Answer:
The final ballance will be $1300.37.
Step-by-step explanation:
In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:
S = P(1 + r/n)^(n*t)
Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:
S = 975.52*(1 + 0.0725/4)^(4*4)
S = 975.52*(1.018125)^(16)
S = 975.52*1.333
S = 1300.37
The final ballance will be $1300.37.
