Answer: 55°
explanation: all angles in a triangle must add up to 180°. Create an equation and solve for x:
x + 50° + 75° = 180°
x = 55°
Answer: Option A and Option B.
Step-by-step explanation:
You need to remember the logarithms properties:

You can observe in Option A:
(This is true)
You can observe in Option B:
(This is true)
You can observe in Option C:
(This is not true)
You can observe in Option D:
(This is not true)
Given:
The graph of a function
.
To find:
The interval where
.
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So,
for
and
.
The function between x=0 and x=3.6 lies below the x-axis. So,
for
.
Now,
For
, the graph of h(x) is above the x-axis. So,
.
For
, the graph of h(x) is below the x-axis. So,
.
For
, the graph of h(x) is below the x-axis. So,
.
Only for the interval
, we get
.
Therefore, the correct option is A.
Answer:
Step-by-step explanation:
it's another one of those similar triangles
it's easier to see this one.
t /c = u / b
where
t = 7x + 3
c = 27
u = 35
b = 21
plug in the knowns
7x + 3 / 27 = 35 / 21
7x + 3 = 27 ( 35 / 21 )
7x + 3 = 9 ( 35 / 7 ) ( divided by 3 )
7x + 3 = 9 ( 5) ( 7 into 35 =5 )
7x + 3 = 45
7x = 45 - 3
7x = 42
x = 6
I checked it, the ratio is 1_2/3 :) for both, but you can check it too