68 degrees
The Isosceles triangle has two angles of 56 and one angle of 68.
Answer:
x*1/5=60
5[x*1/5=60]
x=5*60
x=300
Step-by-step explanation:
-introduce the multiplicative inverse of 1/5 to the equation.
- 5*1/5 gives 1 on L.H.S
-Similarly 5*60 gives 300 on R.H.S
-finally x=300
$6-3x<12\quad:\quad\begin{bmatrix}\mathrm{Solution:}\:&\:x>-2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-2,\:\infty\:\right)\end{bmatrix}$6−3x<12 : [ Solution: x>−2 Interval Notation: (−2, ∞ ) ]
Steps
$6-3x<12$6−3x<12
$\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}$Subtract 6 from both sides
$6-3x-6<12-6$6−3x−6<12−6
$\mathrm{Simplify}$Simplify
$-3x<6$−3x<6
$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$Multiply both sides by −1 (reverse the inequality)
$\left(-3x\right)\left(-1\right)>6\left(-1\right)$(−3x)(−1)>6(−1)
$\mathrm{Simplify}$Simplify
$3x>-6$3x>−6
$\mathrm{Divide\:both\:sides\:by\:}3$Divide both sides by 3
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Answer:
Step-by-step explanation:
Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.
Therefore, you need to remember the following identity:
Then, knowing that:
You need to substitute these values into:
Now, you can solve for "x":
Rounded to the nearest hundreth: