Answer:
x = 70
Step-by-step explanation:
Interior angles of a 4 sided shape = 360
80+70 = 150
360-150 = 210
210/3 = 70
It would be ASA(angle side angle)
if 2 angles and an included side are congruent, then the two triangles are congruent.
Answer:
Option B is the correct choice.
Step-by-step explanation:
The graph is attached below.
We have to find the 
intercept meaning the value of the point on
when 
So we will put the value of zero 
instead of 
in our given equation.
So here we have solved it algebraically.
Putting
Multiplying 
both sides.
Adding 
both sides.
Dividing with 
both sides.
So the x-intercept of the given equation is which can be written as 
in terms of coordinates.
Option B is the correct choice.
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5
Answer:
Step-by-step explanation:
Factor
2
out of
2
x
2
.
2
(
x
2
)
+
6
x
−
4
Factor
2
out of
6
x
.
2
(
x
2
)
+
2
(
3
x
)
−
4
Factor
2
out of
−
4
.
2
x
2
+
2
(
3
x
)
+
2
⋅
−
2
Factor
2
out of
2
x
2
+
2
(
3
x
)
.
2(
x
2
+
3
x
)
+
2
⋅
−
2
Factor
2
out of
2
(
x
2
+
3
x
)
+
2
⋅
−
2
.
2
(
x
2
+
3
x
−
2
)
