Answer:
x = 2
y = 0
Step-by-step explanation:
We can solve using substitution, substitute y in the first equation with the second equation:
-(-6x + 12) + 3x = 6
Distribute the negative sign:
6x - 12 + 3x = 6
Combine like terms:
9x - 12 = 6
Isolate the variable and solve for x by adding 12 in both sides:
9x = 18
x = 2
Substitute 2 with x in any equation to find the value of y:
-y + 3(2) = 6
-y + 6 = 6
Subtract 6 in both sides to isolate the variable:
-y = 0
0/-1 = 0
y = 0
Our answer would be x = 2 and y = 0
Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°

Hope this helps!! :)
Please let me know if you have any questions
Answer:
STOOPID
Step-by-step explanation:
Answer:
1. 702 square centimeters
2. m∠YWX = 63°
Step-by-step explanation:
1.
The total surface area is area of all the sides.
- There are 2 triangles (slanted side) with base 14 and height 11. Thus area would be

- There are 2 triangles (another slanted side) with base 10 and height 12. Thus area would be

- There are two rectangles with base 10 and height 6. Thus area would be

- There are two rectangles with base 14 and height 6. Thus area would be

- The bottom is a rectangle with area 10 * 14 = 140
Adding all these up 154 + 120 + 120 + 168 + 140 = 702 centimeters square.
2.
Angle WYX is equal to 46° (vertical angles are equal).
Now looking at triangle XWY, we know all three angles will add up to 180°. Given x =71° and Y = 46°, we can figure out W (Angle YWX)
71 + 46 + Angle YWX = 180
Angle YWX = 180 - 71 - 46 = 63°
Second answer choice is correct.