Answer:
Step-by-step explanation:
Bottom triangle
Area = b * height
b = 4 + 4 = 8 cm
h = 5.75
Area = 1/2 * 5.75 * 8
Area = 23 cm^2
Trapezoid
b1 = 8
b2 = 4
h = 2
Area = (b1 + b2)*h/ 2
Area = (8 + 4)*2 /2
Area = 12
Total area = 23 + 12
Total area = 35
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
- This means that b + 25 + 100 = 180
2. (Solving equation above)
Step 1: Simplify both sides of the equation.
Step 2: Subtract 125 from both sides.
Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
- This means that 110 = d + 55
2. (Solving)
Step 1: Subtract 55 from both sides.
Therefore, d = 55.
Answer:

Step-by-step explanation:
Given



Required
Determine the length of AB
Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

Substitute values for A'B', B'C' and BC

Express the ratio as fractions:

Multiply through by 14





Answer:
$292.50
Step-by-step explanation:
Equation - A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.5%/100 = 0.025 per year.
Solving our equation:
A = 260(1 + (0.025 × 5)) = 292.5
A = $292.50
The total amount accrued, principal plus interest, from simple interest on a principal of $260.00 at a rate of 2.5% per year for 5 years is $292.50.
Answer:
Strong Military
Step-by-step explanation: