Hello!
We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:
(angle 1) + (angle 2) + (angle 3) = 180
Insert all known values and variables of triangle ABC into the formula above:
30 + (80 + y) + y = 180
Simplify and combine like terms:
30 + 80 + y + y = 180
110 + 2y = 180
Now subtract 110 from both sides of the equation:
2y = 70
Divide both sides by 2:
y = 35
We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:
y + y + x = 180
(35) + (35) + x = 180
Combine like terms:
70 + x = 180
Subtract 70 from both sides of the equation:
x = 110
We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.
I hope this helps!
<h2>
Answer with explanation:</h2>
The function represents the area of a circle(A) is given by :-
To determine the area of a circle whose radius is 11 inches. , we put the value of r=11 inches, we get
Now, we put 
in the above function , we get
56 /2 = 28
35^2 - 28^2
= 1225 - 784
= 441
= 21
base of triangle = 21 x 2 = 42
area of triangle = 1/2 bh = 1/2(42)(28) = 558
area of rhombus = 558 x 2 = 1176
answer
B . 1176 in^2
Answer:
2x³ - 2
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
= x(2x² + 2x + 2) - 1(2x² + 2x + 2) ← distribute both parenthesis
= 2x³ + 2x² + 2x - 2x² - 2x - 2 ← collect like terms
= 2x³ - 2
Answer:
150°
Step-by-step explanation:
By inscribed angle theorem:
