Answer:
7.5cm²
Complete question:What is the surface area of the 8-sided figure?
Step-by-step explanation:
Consider the half of the 8-sided die i.e the pyramid ABCDE:
As the base is 6 of the perimeter, so each side of the base is 6/4=3/2
Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.
Considering the right triangle EOM:
EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is

5. So side EBC has area

6. The total area is 8*Area(EBC)=
(-2,-3)
I. (+,+)
II. (-,+)
III. (-,-)
IIII. (+,-)
Answer:
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x
Thus, option A) is true.
The solution to the system of equations be:

Step-by-step explanation:
It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.
Given the system of equations


Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Add y to both sides


Thus, option A) is true.
<u>NOW LET US SOLVE THE REMAINING PORTION</u>
to solve for y



For x = -1 + y
substitute y = 5


Thus, the solution to the system of equations be:

Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.