Answer:
(2x+1)(x+7)
Step-by-step explanation:
Guess and Check
(2x+7)(x+1) = 2x^2+9x+7. NOPE
(2x+1)(x+7) = 2x^2+15x+7. YES
Answer:
The length of the arc of the quadrant is 40.663 inches
Step-by-step explanation:
The given parameters for the quadrant are;
The dimensions of the rectangle from which the quadrant is cut = 50 inches by 25.9 inches
Therefore, the length of the radius of the quadrant = The shortest side of the rectangle, r = 25.9 inches
Therefore, we have;
The length of the arc of the quadrant = 1/4 × 2 × π × r
Where;
π = 3.14
∴ The length of the arc of the quadrant = 1/4 × 2 × 3.14 × 25.9 = 40.663
The length of the arc of the quadrant = 40.663 inches.
Answer:
1. 115
2. 65
3. 110
4. 70
5. 70
6. 70
7. 65
8. 115
9. corresponding angles
10. complementary interior angles
11. opposite exterior angles
12. complementary interior angles
13. unrelated
14. x = 9
15. x = 6
21. In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180°).
m∠R = m∠P = 180° -m∠Q
m∠Q = 107°
m∠P = 73°
25. If you draw any diagonal, it divides the figure into two congruent triangles (by the SSS postulate). Corresponding angles are congruent, so the diagonal is a transversal between parallel lines. Thus opposite sides are parallel and the figure is a parallelogram.
27. Opposite sides are equal, and the diagonals bisect each other. Your four equations are
2w+4 = 5w-6 . . . . w = 10/3
12 = 3x-3 . . . . . . . x = 5
6y = 4y+6 . . . . . . . y = 3
27 = (5/4)z +2 . . . z = 20
Answer:
Part A:
Formula for circumference: C = diameter x pi
=> pi = C/diameter
=> pi(A) = 12.56/4 =3.14
=> pi(B) = 6.28/2 = 3.14
Part B:
Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi
=> pi = A/(diameter/2)^2
=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14
=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14
Part C:
pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.
=> pi is a constant value: 3.14
