Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
Answer: 726cm squared
Surface area is the area of all the faces added together.
If the area of one face is 11x11=121
Because it is a cube and it has six faces with the same surface area we do 121x6=726 to give us the total surface area.
It is 311.49. You would multiply 0.10 and 349.10, which is 34.61. Then subtract 34.61 from 349.10, which is 311.49. So, after a 10% discount of 346.10, the answer would be 311.49
Answer:
45-4=41 square units
Step-by-step explanation:
full shape area = 9x5=45
cut rectangle area = 4x1=4
blue shape area = 45-4=41
