Answer:
x = - 6
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 9 when x = 3, thus
k = 
= 
= - 3
y = - 3x ← equation of variation
When y = 18, then
18 = - 3x ( divide both sides by - 3 )
x = - 6
Answer:
As she ate 1/10 of cake, we need to know how many cake remains after it, so we can substract:
1 - 1/10 = 10/10 - 1/10 = 9/10
Then, we need to divide the 9/10 into 3 portions:
(9/10) / 3 = 9/30 = 3/10
So we know the fractions would be 3/10 each on this situation..
Answer:
16x
Step-by-step explanation:
2x^2(x+3)
2 times 2 = 4
4x(x+3)
4x + 12x =
16x
The answer is 0.555556 I really hope this helps!
Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
