dilation is when a shape changes size, from small to big or big to small.
Total jellybeans pulled out: 15 + 20 + 12 + 8 = 55
Proportion of yellow jellybeans: 20 / 55 = 4/11
(4/11) * 22 = 8.
Answer: 8
Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given
and
. Sum of these two angles is 90°.
So we can write the equation as,

We have to remove the parenthesis now.

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.



Now to get x, we have to move 3 to the other side, by dividing it to both sides.



We have got the required value of x.
The solution is x= 25.
a circle has 360 degrees
the ferris wheel has 32 cars so the circle is broken up into 32 sections
the central angle would be the angle between 2 of the cars
so divide 360 by 32
360/32 = 11.25 degrees
To factor all you do is...
Factor <span><span><span><span>2<span>x3</span></span>+<span>14<span>x2</span></span></span>+<span>6x</span></span>+42</span><span><span><span><span>2<span>x3</span></span>+<span>14<span>x2</span></span></span>+<span>6x</span></span>+42</span><span>=<span><span>2<span>(<span>x+7</span>)</span></span><span>(<span><span>x2</span>+3</span>)</span></span></span>Answer:<span><span>2<span>(<span>x+7</span>)</span></span><span>(<span><span>x2</span>+3</span><span>)</span></span></span>