Answer:
Hence proved triangle ADE ≅ triangle BCE by Side Angle Side congruent property.
Step-by-step explanation:
Given:
AD ⊥ AB
CD
BC ⊥ AB
CD
AD = BC
∴ ∠ A = ∠ B = ∠ C = ∠ D =90°
∠ EDC = ∠ ECD
Solution
∠ C = ∠ BCE + ∠ ECD⇒ equation 1
∠ D = ∠ ADE + ∠ EDC⇒ equation 2
∠ C = ∠ D (given)
Substituting equation 1 and 2 in above equation we get
∠ BCE + ∠ ECD = ∠ ADE + ∠ EDC
But ∠ EDC = ∠ ECD (given)
∴ ∠ ADE = ∠ BCE
ED = EC (∵ base angles are same triangle is isosceles triangle)
Now, In Δ ADE and Δ BCE
AD =BC
∠ ADE = ∠ BDE
ED = EC
∴ By Side Angle Side congruent property
Δ ADE ≅ Δ BCE
Answer:
$6.60
Step-by-step explanation:
1 pound of blueberries = $3.50
if 0.6 pound = 3.50 × 0.6 = 2.10
1 pound of oranges = $2.50
if 1.8 pound = 2.50 × 1.8 = 4.50
Total = $4.60
Answer:
I am unable to solve this problem w/o any other given variables.
*Post a picture of the actual problem, or provide more numeric responses for variables so that I can solve.
hello
from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.
we can write out an equation in function notation
let the number of hours be represented by x

now we can proceed to solve the cost of the walk for 45 minutes

now we can input the value into the equation and know the cost for 45 minutes walk

from the calculation above, the cost of 45 minutes walk will cost $28.5
Let x be the measure of both legs since the given is an isosceles right triangle. By the Pythagorean theorem we calculate for the legs,
x² + x² = (5 sqrt 6)²
The value of x from the given equation is approximately 8.66 units.