Answer:
59
Step-by-step explanation:
The sum of the opposite interior angles of a triangle is equal to the exterior angle
4x+11 +51 = 10x -10
Combine like terms
4x+62 = 10x -10
Subtract 4x from each side
4x+62-4x = 10x-10-4x
62 = 6x-10
Add 10 to each side
62+10 = 6x-10+10
72 = 6x
Divide by 6
72/6 = 6x/6
12 =x
We want to find angle D
<D =4x+11
= 4*12 +11
= 48+11
= 59
The limit is presented in the following undefined form:

In cases like this, we can use de l'Hospital rule, which states that this limit, if it exists, is the same as the limit of the derivatives of numerator and denominator.
So, we switch

The derivative of the numerator is

Whereas the derivative of the denominator is

So, the new limit is

So, it would seem that we didn't solve anything, but indeed we have! Recall the limit

to conclude that the limit converges to \dfrac{6}{25} [/tex]
Step-by-step explanation:
Here with reference angle 45°
Hypotenuse ( h) = y
Perpendicular (p) = x
base (b) = 5√2
We know
tan 45° = p/b
1 = x / 5√2
Therefore x = 5√2
Now
h = √(5√2)^2 + 5√2)^2
= √ 50 +50
= √100
= 10
Hope it helped
<span>what is the value or 8n when n = 2?
</span>
Plug in n into the expression 8n.
8(2) = 8 x 2 = 16
Hope this helps.