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:
It should be option a 4.5
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(12*x^2-9*x+4)=0
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> y - (((22•3x2) - 9x) + 4) = 0
</span><span>Step 2 :</span><span>Equation at the end of step 2 :</span><span> y - 12x2 + 9x - 4 = 0
</span><span>Step 3 :</span>Solving a Single Variable Equation :
<span> 3.1 </span> Solve <span> <span>y-12x2+9x-4</span> </span> = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
Answer:
slope= 1/2
c
Step-by-step explanation:
part a)
m= 4 - 0 / 8 - 0
= 1/2
The answer is 68
Instructions: follow the bedmas rule of solving.