Answer: a. (x-6) + 5x = 90 b. Angle One = 10° Angle Two = 80°
Step-by-step explanation:
A. Since angle 1 plus angle 2 is a right angle, then their sum is 90 degrees. The equation form angle 1 is x-6 and the equation for angle 2 is 5x, so (x-6) + 5x = 90
B. To find x,
x - 6 + 5x = 90
x + 5x = 96
6x = 96
x = 16
So, angle one = (16) - 6 = 10° and angle two = 16 * 5 = 80°
Not an expertise on infinite sums but the most straightforward explanation is that infinity isn't a number.
Let's see if there are anything we missed:
∞
Σ 2^n=1+2+4+8+16+...
n=0
We multiply (2-1) on both sides:
∞
(2-1) Σ 2^n=(2-1)1+2+4+8+16+...
n=0
And we expand;
∞
Σ 2^n=(2+4+8+16+32+...)-(1+2+4+8+16+...)
n=0
But now, imagine that the expression 1+2+4+8+16+... have the last term of 2^n, where n is infinity, then the expression of 2+4+8+16+32+... must have the last term of 2(2^n), then if we cancel out the term, we are still missing one more term to write:
∞
Σ 2^n=-1+2(2^n)
n=0
If n is infinity, then 2^n must also be infinity. So technically, this goes back to infinity.
Although we set a finite term for both expressions, the further we list the terms, they will sooner or later approach infinity.
Yep, this shows how weird the infinity sign is.
(3) 8
Step-by-step explanation:
Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.
BC/AB = DE/AD
BC/10 = 12/(10 + 5) = 12/15 = 4/5
or
BC = 10(4/5) = 8
Answer:
y=6x+41
Step-by-step explanation:
y-5=6(x+6)
y=6x+41
Divide each term by <span>4</span> and simplify.Tap for less steps...Divide each term in <span><span><span>4x</span>=y</span><span><span>4x</span>=y</span></span> by <span>44</span>.<span><span><span><span>4x</span>4</span>=<span>y4</span></span><span><span><span>4x</span>4</span>=<span>y4</span></span></span>Reduce the expression by cancelling the common factors.So your answer would be x=y over 4
