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:
Pairs (2,4), (4,8) and (5,10) makes the equation y=2x true
Step-by-step explanation:
By using the equation y=2x, eval the following points (gathered from the attached picture)
1. (2,4) which leaves us 4=2*2
2. (4,8) which leaves us 8=4*2
3. (5,10) which leaves us 10=5*2
All points from this graph satisfies the equation y=2x
Hey there!!
Equation given :
A = h ( a + b ) / 2
Multiply by 2 on both sides
2A = h ( a + b )
Divide by h on both sides
2A / h = a + b
Subtract by b on both sides
2A / h - ( b ) = a
Hence, the option ( a ) is the correct answer
Hope my answer helps!
Okay. So, Marianna has 16 yards of fabric. Subtract 2 2/3 from 16, because those are the leftovers. 16 - 2 2/3 is 13 1/3. 13 1/3 / 3 1/3 is 4. Mariana made 4 pieces of 3 1/3 yard fabric. The answer is C: 4.
So the problem ask to find and convert the area into square meters. So to convert is you must do the cross multiplication process that could cancel out unit and made the answer into a square meter, so the answer would be 1. x10^-12m^2. I hope you are satisfied with my answer and feel free to ask for more
