Answer:
Step-by-step explanation:
6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)
23x+15=360
23x=360-15
x=345/23
x=15
therefore the value of x is 15 degree.
Answer:
From given relation the value of β is 37.5°
Step-by-step explanation:
Given as :
α and β are two acute angles of right triangle
Acute angle have measure less than 90°
Now given as :
= 
Or,
= 
SO,
= 
Or, 90° =
+ 
or, 90° =
+ 4x
Or, 90° = 
So, x =
= 15°
∴
= 
So,
= sin
∴ The value of Ф_1 =
= 37.5°
Similarly
= 
So ,The value of Ф_2 =
= 52.5°
∵ β
α
So, As 37.5°
52.5°
∴ β = 37.5°
Hence From given relation the value of β is 37.5° Answer
-180 is the answer
explanation: order of operations
Answer:
-1
f (x) = -3(x + 5)
Step-by-step explanation:
1) in f(x) = 1/3x-5, replace f(x)= with y= as follows: y = (1/3)x - 5
2) interchange x and y, obtaining: x = (1/3)y - 5
3) solve this result for y: (1/3)y = -x - 5, or -(x + 5). Next, multiply both sides by 3 to eliminate the fraction (1/3): y = -3(x + 5)
4) replace y with the symbol for "inverse of f(x);
-1
f (x) = -3(x + 5)
Answer:

Step-by-step explanation:
The side that is parallel to BC is EF
Find the slope of EF:

Easiest way is just put the formula in point-slope form and simplify.
Let's use point F, which is (6,2)

Simplify:

Add 2 on both sides:

Hope this helped