Answer:
<h2>x = 30°</h2>
Step-by-step explanation:
The angle 30° and 2x are complementary angles.
Two angles are called complementary angles, if their sum is one right angle (90°).
Therefore we have the equation:
30 + 2x = 90 <em>subtract 30 from both sides</em>
2x = 60 <em>divide both sides by 2</em>
x = 30
Answer:
1) 6 cm
2) 117°
Step-by-step explanation:
1) Draw a picture of the rhombus. The distance between opposite sides is the height of the rhombus. If we draw the height at the vertex, we get a right triangle. Using trigonometry:
sin 30° = h / 12
h = 12 sin 30°
h = 6 cm
2) Draw a picture of the rectangle.
∠KML is the angle the diagonal makes with the shorter side ML. This angle is 54°. ∠NKM is the angle the diagonal makes with the shorter side NK. ∠KML and ∠NKM are alternate interior angles, so m∠NKM = 54°.
The angle bisector of angle ∠NKM divides the angle into two equal parts and intersects the longer side NM at point P. So m∠PKM = 27°.
KLMN is a rectangle, so it has right angles. That means ∠KML and ∠KMN are complementary. So m∠KMN = 36°.
We now know the measures of two angles of triangle KPM. Since angles of a triangle add up to 180°, we can find the measure of the third angle:
m∠KPM + 36° + 27° = 180°
m∠KPM = 117°
Answer: B
Step-by-step explanation:
l = 2
2 ( l + w ) = 48 , or , l + w = 24
w = 8 , & , so , l = 2 w = 16 inches.
<span>total games 36. 18 divided by 36 = .500
Hope this helps man!</span>
Answer:
1, 3
Step-by-step explanation:
theyre across from each other.