The two angles are vertical angles and are identical.
Set them equal to each other and solve for y:
5y = 115
Divide both sides by 5:
y = 115/5
y = 23
Answer: y = 23 degrees.
The correct option will be : 14 years
<u><em>Explanation</em></u>
Current account balance of Susan is $1,336.60 and her initial deposit was $820
So, the amount of interest earned
dollar
Formula for Simple Interest is:
, where
is the amount of interest,
is the initial amount,
is the rate of interest in decimal and
is the time duration in years.
Here,
% 
Now according to the above formula, we will get...

So, Susan has held the account for 14 years.
Answer:
2,645
Step-by-step explanation:
I hope this helps and you really are smart
Answer: 45?
Step-by-step explanation: because a perfect corner is 90 degrees so if you split that, you will get 45!
Answer:
width = 72 yards
length = 108 yards
Step-by-step explanation:
Given:
- Width = 75 yards
- Length = 105 yards
<u>Area of the field</u> with the given values:

To maintain the <u>same perimeter</u>, but <u>change the area</u>, either:
- decrease the width and increase the length by the same amount, or
- increase the width and decrease the length by the same amount.
In geometry, length pertains to the <u>longest side</u> of the rectangle while width is the <u>shorter side</u>. Therefore, we should choose:
- decrease the <u>width</u> and increase the <u>length</u> by the <u>same amount</u>.
<u>Define the variables</u>:
- Let x = the amount by which to decrease/increase the width and length.
Therefore:


Solve the inequality:

Therefore, as distance is positive only and the maximum width is 75 yd (since we are subtracting from the original width):


Therefore, to find the width and length of another rectangular field that has the same perimeter but a smaller area than the first field, simply substitute a value of x from the restricted interval into the found expressions for width and length:
<u>Example 1</u>:
⇒ Width = 75 - 3 = 72 yd
⇒ Length = 105 + 3 = 108 yd
⇒ Perimeter = 2(72 + 108) = 360 yd
⇒ Area = 72 × 108 = 7776 yd²
<u>Example 2</u>:
⇒ Width = 75 - 74 = 1 yd
⇒ Length = 105 + 74 = 179 yd
⇒ Perimeter = 2(1 + 179) = 360 yd
⇒ Area = 1 × 179 = 179 yd²