Answer:
The Proof with Statement and Reason are as follow.
A) Reflexive , SAS , CPCTC.
Step-by-step explanation:
Given:
BA ≅ DC
∠BAC ≅ ∠DCA
To Prove:
BC ≅ DA
Proof:
In ΔBCA and ΔDAC
Statement Reasons
1. BA ≅ DC 1. Given
∠BAC ≅ ∠DCA
2. AC ≅ CA 2. Reflexive Property
3. ΔBCA ≅ ΔDAC 3. S-A-S test
4. BC ≅ DA 4. CPCTC
Answer:
$400(0.09) = $36.00
$400 + $36 = $436.00
Step-by-step explanation:
The slope is defined as the first derivative of the equation so ,
d(r)/d(theta) = -2 sin(2theta)
and by substitue by theta = pi/2
we get slope = -2 sin(2*(pi/6))
slope = -√3
Answer:
A. 1,177.58 cm³
Step-by-step explanation:
Volume of hemisphere = ⅔πr³
Radius (r) = 16.51 ÷ 2 = 8.255
π = 3.14
Plug in the values
Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³
= 1,177.57783 ≈ 1,177.58 cm³