1/4(2x - 14) = 4
Divide by 1/4. (dividing by a fraction = multiplying by its reciprocal, so ÷1/4 = ×4)
2x - 14 = 16
Add 14 to each side.
2x = 30
Divide by 2.
x = 15
See attached picture.
Break the shape up into 4 different shapes and find the seperate areas then add them together.
Answer = C. 146
<span>It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1
</span><span> (1,1)
CHECK
2x+y=3
2(1)+(1)=3
2+1=3
3=3
Left hand side=Right hand side
Check other equation
x=2y-1
1=2(1)-1
1=1
</span><span>Therefore the solution is (1,1). Since the left hand side= right hand side in each equation</span>
The area of the square= bxh
= 6x6= 36
The area of the rhombus is 4/5 the area of the square so 36x 4/5 = 28.8
Area of rhombus = basexheight
28.8= 6x height
Height = 28.8/6
Height =4.8
A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.
The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.
Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.
Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.
