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:
y=7
Step-by-step explanation:
Assuming that the equation is 14-2y=0
We need to isolate 'y' variable to obtain its value, to do that, lets start by subtracting -14 to both sides of equality sign,
14-2y=0 is now this: 14-14-2y=0-14, which is equals to -2y=-14
Now, lets continue by dividing by -2 both sides of equality sign.
We have this
-2y/-2=-14/-2
y=7
Thus, we've obtained the value for 'y' variable
635.0293 kilograms
3086.472 pounds
Hope this helps.
Answer:
5/2
Step-by-step explanation:
BRAINLIEST
One-fourth + one-sixth + one-third
<span>three plus two plus four /12 = 9/12 = 3/4 </span>
<span>So, balance = 1/4 = 1/4 times 20 = 5 pies which is the answer!
Hope this helps!! Pleaseeee, Hit that Thanks button ;D</span>