Answer:
Step-by-step explanation:
The triangle is isosceles with side WX equal to side WY:
WX = WY
9x -11 = 7x -3
2x = 8 . . . . . add 11-7x
x = 4
Then the side measures are ...
WX = WY = 7(4) -3 = 28 -3 = 25
XY = 4(4) +1 = 16 +1 = 17
Let me express the equation clearly:
lim x→-9 (x²-81)/(x+9)
Initially, we solve this by substituting x=-9 to the equation.
((-9)²-81)/(-9+9) = 0/0
The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.
(2x-0)/(1+0) = 2x = 2(-9) = -18
The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999
((-8.999)²-81)/(-8.999+9) = -18
Answer:
C
Step-by-step explanation:
It's the only acute angle.
Answer:
61 degrees.
Step-by-step explanation:
As long as the two figures are congruent, angle P corresponds to angle T, angle [cut off but it says 93 degrees] corresponds to angle U, angle N corresponds to angle V, and angle M corresponds to angle S.
Since we already have the value of T, we know the value of P. The measure of angle P is 61 degrees.
Hope this helps!
