A segment, ray, line, or plane that is perpendicular to a segment at its midpoint is called a perpendicular bisector. Converse of the Perpendicular. Bisector Theorem. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Answer:
y=9
Step-by-step explanation:
The measurement of angle L = 50°.
Solution:
The given image is a rectangle.
The measurement of ∠A = 25°
The measurement of ∠B = 25°
ABC is a triangle.
Sum of the interior angles of the triangle = 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 25° + 25° + m∠C = 180°
⇒ 50° + m∠C = 180°
⇒ m∠C = 180° – 50°
⇒ m∠C = 130°
Sum of the adjacent angles in a straight line = 180°
⇒ m∠C + m∠L = 180°
⇒ 130° + m∠L = 180°
⇒ m∠L = 180° – 130°
⇒ m∠L = 50°
Hence the measurement of angle L = 50°.
Answer:
Girls (Morning) = 16
Step-by-step explanation:
<em>60 children go to a nursery. The ratio of girls to boys is 3 : 2</em>
Number of Boys = 3 / (3 + 2) * 60 = 3/5 * 60 =36
Number of Girls = 2 / (3 + 2) * 60 = 2/5 * 60 = 24
<em>Three quarters of the children go to the nursery in the morning.</em>
Number of children (Boys + Girls) = 3/4 * 60 = 45
<em>The rest of the children go to the nursery in the afternoon.</em>
Number of children (Boys + Girls) = 60 - 45 = 15
<em>7 boys go to the nursery in the afternoon.</em>
Boys + Girls = 15
Girls (Afternoon) = 15 - Boys = 15 - 7 = 8
<em>Work out how many girls go to the nursery in the morning.</em>
Girls (Morning) + Girls (Afternoon) = Girls (Total)
Girls (Morning) + 8 = 24
Girls (Morning) = 24 - 8
Girls (Morning) = 16
