The constant variation k is 12
Answer:
80 units
Step-by-step explanation:
v = 1/3 bh
v₁ = 1/3 * b * h₁ = 344
v₂ = 1/3 * b * h₂ = 301
v₁ / v₂ = h₁ / h₂ = 344 / 301
h₂ = h₁ - 10
h₁ / (h₁ - 10) = 344 / 301
344 * (h₁ - 10) = 301 * h₁
344* h₁ - 3440 = 301 * h₁
43 * h₁ = 3440
h₁ = 80
Answer:
Step-by-step explanation:
<u>Δ MHP is right triangle, therefore</u>
<u>ΔMNP is isosceles triangle as MN = MP, therefore</u>
- m∠NMP = 180° - 2*55° = 70°
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.