Answer:
$12
Step-by-step explanation:
Monday: $50
Tuesday: 50+25=$75
Wednesday: 75-20=$55
Thursday: $55-17=$38
Change from Monday to end of Thursday: $50-$38
=$12
Answer:
Step-by-step explanation:
Given: DE║BC
To prove:
Statements Reasons
1). DE║BC 1). Given
2). ∠1 ≅ ∠4, ∠3 ≅ ∠4 2). Corresponding angles theorem
3). ΔADE ~ ΔABC 3). AA Similarity theorem
4). 4). Corresponding sides are proportional
5). 5). Segment addition postulate
6). 6).
7). 7). Subtract 1 from both sides
8). 8). Take the reciprocal of both sides
Answer:
<u>33.51 cubic inches of water are needed to fill each toy</u>
Step-by-step explanation:
Let's recall that the formula of the volume of a sphere:
Volume = 4/3 * π * r³
Replacing with the values we have:
Volume = 4/3 * 3.1416 * 2³
Volume = 4/3 * 3.1416 * 8
Volume = 33.51 inches³
<u>33.51 cubic inches of water are needed to fill each toy</u>
Length of rectangles = <em>7 in.</em>
Breadth of 4 rectangles = 3 x 4
= <em>12 in.</em>
Side of squares = <em>3 in.</em>
Area of 4 rectangles = length x breadth
= 7 x 12
= <u>84 sq. in.</u>
Area of two squares = 2(side x side)
= 2(3 x 3)
= <u>18 sq. in</u>.
Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.
= <u>102 sq. in.</u>