Answer:
1) m∠U = 90°
2) m∠C = 80°
Step-by-step explanation:
1) The given figure is a quadrilateral
The sum of the interior angles of quadrilateral = 360°
∴ The sum of the interior angles of the given figure = 360°
Therefore, we have;
80° + 24·x + 4 + 6 + 21·x + 90° = 360°
80° + 45·x + 10 + 90° = 360°
x = (360°- (80° + 10° + 90°))/45 = 4
x = 4
m∠U = 6 + 21·x = 6 + 21 × 4 = 90
m∠U = 90°
2) The sum of the interior angles of the given quadrilateral = 360°
∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°
86·x + 16 = 360°
x = (360° - 16°)/86 = 4
x = 4
m∠C = 20·x = 20 × 4 = 80
m∠C = 80°
3) In the figure, some angles are left out, therefore, more information on the remaining angles required
Answer:
726
Step-by-step explanation:
Here p = k / q², and 24 = k / 121, or k = 2904
Then p = 2904 / q²
If q = 2, p = 2904 /4 = 726
1.9 = 1 9/10 in simplest form
Hi
7 = 14.70
15= X
so : X = 15*14.70 /7 = 31.5
15 liters of petrol cost 31.5
Answer:
AB = 5
BC = 12
AC = 13
Step-by-step explanation:
A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:
AB = CD = 12
AB = 12
BC = AD = 5
BC = 5
AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:
AC² = AD² + CD²
Plug in the values
AC² = 5² + 12²
AC² = 169
AC = √169
AC = 13
