Answer:



Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

Also sum of angles in triangle CBD is 180°.

Answer:
Step-by-step explanation:
Sum of the interior angles of any triangle is 180°
<u>Let the third angle measure is x. Then the sum of angles is:</u>
- x + 11° + 52° = 180
- x + 63° = 180°
- x = 180° - 63°
- x = 117°
Answer:60
Step-by-step explanation:
3:4:6
Add:
3+4+6=13
3:4:6=13
?:?:?=260
Divide:
260/13=20
Multiply 3 and 20:
60
SO there are 60 small uniforms
Answer:
3 1/3.
Step-by-step explanation:
Divide 5/4 by 3/8. (5/4) / (3/8) = 5/4 * 8/3 = 40/12 = 10/3 or 3 and 1/3.
Answer:
a
Step-by-step explanation:
Given
x² + 2x - 3 = 0 ( add 3 to both sides )
x² + 2x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 3 + 1
(x + 1)² = 4 ( take the square root of both sides )
x + 1 = ±
= ± 2 ( subtract 1 from both sides )
x = - 1 ± 2
Thus
x = - 1 - 2 = - 3
x = - 1 + 2 = 1