Answer:

Step-by-step explanation:
Given
Shape: Rectangle
Diagonals: AC and BD

Required
Determine BD
From the question, we understand that the shape is a rectangle and its diagonals are AC and BD
Every rectangle has 2 diagonals, both of which are equal.
This implies that:

Recall that:

Hence,

Step-by-step explanation:
In triangle ADE:
sum of all angles is 180.
3x-10+58+42=180
3x+90=180
3x=180-90
3x=90
x=90/3
x=30
As line DA and CB are parallel:
angle D=angle C
angle y=58
In angle BCE, sum of angles is 180.
z+58+42=180
z+100=180
z=180-100
z=80
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1
Answer:
The amount is $16718.7 and the interest is $4718.7.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$12000 , r=3.33% , n=4 and t=10 years
After plugging the given information we have
AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7
STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:
A16718.7II=P+I=12000+I=16718.7−12000=4718.7