Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degreesYou answer is
D) 102
Answer:
The answer is 900 ×6= 5,400 u can use a calculator
Answer:
The distance you are from the base of plateau = 
Step-by-step explanation:
Given:
Height of plateau = 70 m
Angle of elevation to the top of plateau = 35°
To find the distance you are from the base of plateau.
We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.
We will apply trigonometric ratio to find the adjacent side.
where 
represents the angle of reference.
Plugging in the values from the triangle.
Multiplying both sides by AC.
Dividing both sides by 
∴ 
The distance you are from the base of plateau =
Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45
Answer:
x = 5/2
y = -1/2
Step-by-step explanation:
if both equations start with 'y=' then set the expressions equal to each other
3/5x - 1 = x - 3
add 1 to each side to get:
3/5x = x - 1
subtract 5/5x from each side:
3/5x - 5/5x = -1
-2/5x = -1
multiply each side by -5/2:
x = 5/2
y = 2 1/2 - 3
y = -1/2
