Answer:
B
Step-by-step explanation:
x + y =6
x - y = 4
A. 3+3=6, but 3-3 doesn't equal 4
B. 5+1=6 and 5-1 equals 4
C. 6+0 equals 6 but 6-0 doesn't equal 4
D. 2+4 equals 6 but 2-4 doesn't equal 4
Answer:
The perimeter (to the nearest integer) is 9.
Step-by-step explanation:
The upper half of this figure is a triangle with height 3 and base 6. If we divide this vertically we get two congruent triangles of height 3 and base 3. Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles: (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.
Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.
The lower half of the figure has the shape of a trapezoid. Its base is 4. Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle. Using the Pythagorean Theorem, we get
(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10. Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.
Then the perimeter consists of the sum 2√10 + 4 + 6√2.
which, when done on a calculator, comes to 9.48. We must round this off to the nearest whole number, obtaining the final result 9.
Answer:
<u>∠AEB = 72°</u>
Step-by-step explanation:
<u>Finding x</u>
- ∠AEB = ∠DEC (Vertically opposite angles)
- 7x - 5 = 2(4x - 8)
- 7x - 5 = 8x - 16
- 8x - 7x = -5 + 16
- x = 11
<u>Finding ∠AEB</u>
- 7x - 5
- 7(11) - 5
- 77 - 5
- <u>∠AEB = 72°</u>
Answer:
y=54/7
Step-by-step explanation:
