Answer:
x=-2
Step-by-step explanation:
Answer:
a. 96 in²
Step-by-step explanation:
The surface area of the prism = the sum of the area of each part of the net shown
✔️Area of the 2 equal triangles = 2(½*b*h)
b = 4 in
h = 3 in
Area of the two triangles = 2(½*4*3) = 12 in²
✔️Area of the rectangle 1 with the following dimensions:
L = 7 in
W = 3 in
Area = L*W = 7*3 = 21 in²
✔️Area of the rectangle 2 with the following dimensions:
L = 7 in
W = 4 in
Area = L*W = 7*4 = 28 in²
✔️Area of the rectangle 3 with the following dimensions:
L = 7 in
W = 5 in
Area = L*W = 7*5 = 35 in²
✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²
Answer:
16 tiles
Step-by-step explanation:
Divide 4 by 1/4 to get your answer.
This is the same as multiplying 4 by the inverse of 1/4 (which is 4/1 a.k.a 4)
4 * 4 = 16
16 tiles will fit end-to-end along a 4-foot wall.
Answer:
<u>Given rhombus ABCD with</u>
- m∠EAD = 67°, CE = 5, DE = 12
<u>Properties of a rhombus:</u>
- All sides are congruent
- Diagonals are perpendicular
- Diagonals are angle bisectors
- Diagonals bisect each other
<u>Solution, considering the above properties</u>
- 1. m∠AED = 90°, as angle between diagonals
- 2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD
- 3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD
- 4. AE = CE = 5, as E is midpoint of AC
- 5. BE = DE = 12, as E is midpoint of BD
