Given :
The diagonals of rhombus ABCD intersect at E.
∠CAD = 20°.
To Find :
The angle ∠CDA.
Solution :
We know, diagonals of a rhombus bisects each other perpendicularly.
So, ∠DEA = 90°.
In triangle ΔEAD :
∠EAD + ∠AED + ∠EDA = 180°
20° + 90° + ∠EDA = 180°
∠EDA = 70°
Now, we know diagonal of rhombus also bisect the angle between two sides .
So, ∠CDA = 2∠EDA
∠CDA = 2×70°
∠CDA =140°
Therefore, ∠CDA is 140°.
Answer:
The answer is D. The last option. C for the second question. A for the third question.
Answer:
(7,-9)
Step-by-step explanation:
The volume is 414,720 in³, which equals 240 ft³.
We need all of the units to be the same. Since 2 of the 3 measurements are in inches, we will convert the feet to inches. 12 inches = 1 foot, so
22.5(12) = 270
To find the volume of a rectangular prism (box), multiply the length, width, and height:
270(48)(32) = 414,720 in³
If we want this in cubic feet, we need to know first that 1 ft³ is a cube with side length 1 ft = 12 inches. This means that the volume is 12*12*12 = 1728 in³. Therefore there are 1728 in³ in 1 ft³:
414720/1728 = 240 ft³
