Answer:
x = 72°
y = 61°
Step-by-step explanation:
Properties of a kite,
1). At least on pair of opposite angles of a kite are equal.
2). Diagonal of a kite intersect each other at 90°.
3). Diagonals are the angle bisectors of opposite angles.
By these properties,
m∠AED = 90°
In ΔAED,
m∠AED + m∠EDA + m∠DAE = 180° [Triangle sum theorem]
90° + 18° + m∠DAE = 180°
m∠DAE = 180° - 108°
= 72°
Since, diagonal AC is an angle bisector of angle DAB,
x = 72°
In ΔABC,
m∠ABC + m∠BCA + m∠CAB = 180°
m∠ABC + 29° + x° = 180°
m∠ABC + 29° + 72° = 180°
m∠ABC = 180° - 101°
m∠ABC = 79°
Since, opposite angles ∠ADC and ∠ABD are equal in measure,
m∠ABC = m∠ADC = 79°
79° = (18 + y)°
y = 79 - 18
y = 61°
The triangle ABC is equilateral.
⇒ AB = BC = AC
6x - 3 = 5x ⇒ 6x - 5x = 3 ⇒ x = 3 cm
6x - 3 = 3x + 6 ⇒ 6x - 3x = 6 + 3 ⇒ 3x = 9 ⇒ x = 9/3 = 3 cm
5x = 3x + 6 ⇒ 5x - 3x = 6 ⇒ 2x = 6 ⇒ x = 6/2 = 3 cm
<h2>⇒⇒⇒ x = 3</h2>
AB 6x - 3 = 6 - 3 + 3 = 18 - 3 = 15
AC = 3x + 6 = 3 × 3 + 6 = 9 + 6 = 15 cm
BC = 5x = 5 × 5 = 15 cm
<h2>⇒⇒⇒ AB = AC = BC = 15 cm</h2><h2 /><h2 />
The radius is 9.
if diameter is 18, and radius is half of the diameter, 18 divided by 2 is 9
Answer:
π
Step-by-step explanation:
the volume of a cylinder is r^2 x π x h
substitute and you have your answer