Answer:
The measure of the third angle is 92°
Step-by-step explanation:
We first have to make an equation that represents this equality. To do it we simply have to add the values that give us with x and this will result in 180 °
15° + 73° + x = 180°
once we have the equation what we have to do is solve x, so we will pass all the terms that are adding to x by subtracting 180
x = 180° - 73° - 15°
now that we have cleared the x we only have to perform the indicated operation and we will obtain the value of x
x = 92°
The measure of the third angle is 92°
Step-by-step explanation:
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
crosses x-axis at (2, 0 ) and y-axis at (0, - 4 )
To find where the graph crosses the x and y axes ( intercepts )
• let x = 0, in the equation for y- intercept
• let y = 0, in the equation for x- intercept
x = 0 : y = 0 - 4 = - 4 ⇒ (0, - 4 )
y = 0 : 2x - 4 = 0 ⇒ 2x = 4 ⇒ x = 2 ⇒ (2, 0 )
The answer is 3/4 ft² = 0.75 ft²
The area (A) of the parallelogram with altitude a and base b is:
A = a * b
We have:
A = ?
a = 6 in
Since 1 inch is 0.083 feett, then 6 inches is
a = 6 * 0.083 ft = 0.498 ft ≈ 0.5 ft = 1/2 ft
b = 1 1/2 ft = 1 + 1/2 ft = 2/2 + 1/2 ft = 3/2 ft
_______
A = a * b
a = 1/2 ft
b = 3/2 ft
A = 1/2 * 3/2 = 3/4 ft² = 0.75 ft²
Answer:
x = 5
x = 2
Step-by-step explanation:
2(2x + 4) = 8x - 12
2x + 4 = 4x - 6
x + 2 = 2x - 3
x = 5
Question 17
8/4 = (x + 2)/(2x - 2)
2(2x - 2) = x + 2
4x - 4 = x + 2
3x = 6
x = 2
