Answer:
Smallest angle: 41°
Second angle: 57°
Third angle: 82°
Step-by-step explanation:
Let's call the smallest angle as
<u>"while a third angle is twice the smallest"</u>: third angle is
<u>"One angle of a triangle measures 16∘ more than the smallest":</u> 2nd angle is
We know sum of 3 angles in a triangle is 180 degrees, so we can set up the equation and solve for x:
So smallest angle is 41°
The 2nd angle is 16+41=57°
third angle is 2*41=82°
Answer:
all real numbers greater than or equal to 11
Here!
(x+4)+(x+2)+(x+5)= (x+1)+(x+1)+(x+3)+(x+3)
First you want to write the whole equation out. Make each perimeter equal to each other.
Then add both sides separately.
(x+4)+(x+2)+(x+5)
=3x+11
and
(x+1)+(x+1)+(x+3)+(x+3)
=4x+8
Now that you've simplified each side, solve like a normal equation.
3x+11 = 4x+8
-3x -3x
11 = x+8
-8 -8
3=x
note that gradient = at x = a
calculate for each pair of functions and compare gradient
(a)
= 2x and = - 1
at x = 4 : gradient = 8 and - 1 : 8 > - 1
(b)
= 2x + 3 and = - 2
at x = 2 : gradient = 7 and - 2 and 7 > - 2
(c)
= 4x + 13 and = 2
at x = - 7 : gradient = - 15 and 2 and 2 > - 15
(d)
= 6x - 5 and = 2x - 2
at x = - 1 : gradient = - 11 and - 4 and - 4 > - 11
(e)
y = √x =
= 1/(2√x) and = 2
at x = 9 : gradient = and 2 and 2 >