Step-by-step explanation:
Area of shaded region = area of exterior rectangle - area of interior rectangle

Answer:
Option (D) is correct.
Step-by-step explanation:
In a triangle BCD , with b, c, d as the sides of triangle.
Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.
Using Sine rule,

Consider the first and third ratio,

Substitute the values of d = 3 , b= 5 and ∠D=25°

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.
Thus, option (D) is correct.
Answer:
16
Step-by-step explanation:
To start off this problem, we are given that the line AB is equal to the line CD. In addition to that, we are given that the line EF equally intersects line AB and line CD. This provides us proof that angle AGH is equivalent to angle DHG. From this information, we can solve this problem relatively easily.
Lets work with this equation:

Next, divide 80 by 5.


This means that x is equal to 16.
Answer: OPTION A
Step-by-step explanation:
We need to remember that Product of powers property, which states that:

Let's check the options:
A. For
you can apply the property mentioned before. Then:

(It is the equivalent expression)
B. Add the exponents:

(It is not the equivalent expression)
C. For
you can apply the property mentioned before. Then:

(It is not the equivalent expression)
D. We know that
and we maje the addition indicated in this option, we get:

(It is not the equivalent expression)
Answer:
x = 130
Step-by-step explanation:
Sum of all the angle of quadrilateral = 360°
50 + 45 + 35 + ∠ADC = 360
130 + ∠ADC = 360
∠ADC = 360 - 130
∠ADC = 230
x = Reflex ∠ADC
= 360 - 230
= 130