Answer:
x = 145°
Step-by-step explanation:
We know that y = 98°, so we can find ∠DBC:
180°-y = ∠DBC
180°-98° = 82°
We also know that z = 63°, therefore we can apply <u>exterior angle of triangles</u> to find x.
∠DBC + z = x
82°+63° = x
x = 145°
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
While the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point through which the line passes
In this case we have a line through:
(8,4) and (0,2)
Therefore, its slope is:
Its point-slope equation is:
Then, we manipulate the expression to find the equation of the slope-intersection form:
Therefore, the cut-off point with the y-axis is 
ANswer:
Answer:
x=25/64
Step-by-step explanation:
by simple substitution
Answer:
Your answer is B 5/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given function:</u>
The graph of it should contain the point (3/2, 27)
<u>Substitute the values and verify answer choices:</u>
A) b= 3/2
- 27 = (3/2)^(3/2), False as the right side is irrational
B) b= 27
-
27 = 27^(3/2), False as 27^1 ≠ 27^(3/2), because 1 ≠ 3/2
C) b= x/y
- 27 = (x/y)^(3/2), False as is doesn't make sense
D) b= 9
- 27 = 9^(3/2)
- 27 = (3^2)^(3/2)
- 27 = 3^(2*3/2)
- 27 = 3^3
- 27 = 27
