Answer:

Step-by-step explanation:
You can isolate the "V" variable by dividing by IT on both sides:

On the left, the IT from the top and bottom cancel, leaving you with just V:

Is it multiple choice or do you have to write a answer?
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:
25 one-dollar coins, 16 half-dollar coins, and 164 quarters
Step-by-step explanation:
First, set up equations based on the information given:



Then, substitute <em>q</em> in the first equation with the expression from the third equation:
![0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74](https://tex.z-dn.net/?f=0.25%5B4%28d%2Bh%29%5D%2B0.50h%2B1.00d%3D74%5C%5C1d%2B1h%2B0.50h%2B1.00d%3D74%5C%5C2d%2B1.5h%3D74)
Next, substitute <em>h</em> in that equation with the expression from the second equation:


Solve for <em>d</em>, the number of one-dollar coins:

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:



Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

Then, verify that the coins total $74:

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:



Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

Answer:
278.64cm²
Step-by-step explanation:
Area of the sheet left out = Area of the square - Area of the 9 circles
Area of the square = L^2
L is the side length of the square
A = 36^2
Area of the square = 1296cm^2
Diameter of a circle = 38/3 = 12cm
Area of a circle = πr²
r is the radius = 12/2 = 6cm
Area of a circle = 3.14(6)²
Area of a circle = 3.14 * 36
Area of a circle = 113.04cm²
Area of 9 circles = 9 * 113.04
Area of 9 circles = 1,017.36cm²
Area of the left over = 1296 - 1,017.36
Area of the left over = 278.64cm²