2x+38=180
2x=142 (or x+x=142 from which 2x=142)
x=71
The unknown angles are each 71
You know this answer is logical as, since two sides are 21 it hints that we are looking at an equilateral triangle, which means two of its angles will be the same
It must have the same slope as the given line, so
m = -A/B = -1/-2 = 1/2
So far, we have
y = mx + b = x/2 + b
Use the given point to find b.
4 = -2/2 + b = -1 + b
b = 5
y = x/2 + 5
Multiply through by 2.
2y = x + 10
Standard form:
x - 2y = -10
First, convert 45 minutes into hours:
45/60=0.75
then, write the expression:
0.75*d / 0.75d
You have to add 10 last.
divide 75÷8 and then add 10
Step-by-step explanation:
Left-hand-side:
\displaystyle \dfrac{1}{sec(x) - tan(x)}
sec(x)−tan(x)
1
\displaystyle = \ \dfrac{1}{sec(x) - tan(x)} * \dfrac{sec(x) + tan(x)}{sec(x) + tan(x)}=
sec(x)−tan(x)
1
∗
sec(x)+tan(x)
sec(x)+tan(x)
\displaystyle = \ \dfrac{sec(x) + tan(x)}{sec^2(x) - tan^2(x)}=
sec
2
(x)−tan
2
(x)
sec(x)+tan(x)
Now use
\displaystyle 1 + tan^2(x) \ = \ sec^2(x)1+tan
2
(x) = sec
2
(x)
and you should be done.....
