Answer:
5, 7, 11, 19, 35
Step-by-step explanation:
Using the recursive formula and a₁ = 5 , then
a₂ = 2a₁ - 3 = (2 × 5) - 3 = 10 - 3 = 7
a₃ = 2a₂ - 3 = (2 × 7) - 3 = 14 - 3 = 11
a₄ = 2a₃ - 3 = (2 × 11) - 3 = 22 - 3 = 19
a₅ = 2a₄ - 3 = (2 × 19) - 3 = 38 - 3 = 35
Thus the first 5 terms are
5, 7, 11, 19, 35
Answer:
By the Pythagorean theorem, the diagonal length (d) of the square is
d² = 7² + 7²
d = √98 ≈ 9.8995
Since the diameter of the circle (11 cm) is greater than the diagonal length of the square (9.9 cm), you know the square will fit into the circle without touching.
Step-by-step explanation:
A kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can’t be used in both pairs).
Then:
- Two disjoint pairs of consecutive sides are congruent by definition - QP≅QR and QR is not congruent to RS (one side can’t be used in both pairs);
- One diagonal (segment QS, the main diagonal) is the perpendicular bisector of the other diagonal (segment PR, the cross diagonal), so PM≅MR;
- The opposite angles at the endpoints of the cross diagonal are congruent, thus ∠QPS≅∠QRS.
- ∠PQR is not congruent to ∠PSR, because they are not angles at the endpoints of the cross diagonal.
Answer: correct options are A, B and E.
Answer:
x = -11
Step-by-step explanation:
