Answer:
3rd option: 60 degrees
Step-by-step explanation:
We can see in the diagram that the angle on C is a supplementary angle, which means that the sum of 135 and internal angle will be equal to 180 degrees.
Let x be the internal angle,
Then
x+135 = 180
x = 180-135
x = 45 degrees
So now we know that two interior angles of the triangle.
Also we know that sum of all internal angles of triangle is 180 degrees.
Using the same postulate:
A+B+C = 180
75 + B + 45 = 180
120+B = 180
B = 180 - 120
B = 60 degrees
So,
third option is the correct answer ..
Answer:

Step-by-step explanation:
Let's solve:

Step 1: Simplify both sides of the equation.

Step 2: Add 3x to both sides.

Step 3: Subtract 4 from both sides.

Step 4: Divide both sides by -1.

Therefore, the answer will be x = 4.
Answer: 314 mm
Step-by-step explanation:
Area of a circle is π*r^2
r is radius and π is 3.14
here the radius is 10
3.14 * 10^2 = 3.14 * 100 = 314
Answer:


Step-by-step explanation:
The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).
The slope of side AB is

The slope of side BC is

The slope of side CD is

The slope of AD is



We see that the opposite sides of the quadrilateral ABCD are equal.
Hence the quadrilateral is a parallelogram
Answer:
A
Step-by-step explanation:
area of a circle is pi*r^2
pi*144 is 452.389342, so A