We are given dimensions of model and actual figure.
model: 9.5cm actual : 30.5m.
We need to find the length of actual shape for the scale factor 5cm.
Let us assume actual length be x m.
Let us set a proportion now.
<h3>5 : x = 9.5 : 30.5</h3>Let us convert proportion into fractions.
On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get
x=16.05.
<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>
The given angles are 95° and 135, and the value of x is 40.
<h3>What is the angle sum property?</h3>The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The given angles are 95° and 135.
Let's consider the adjacent angle of 135 to be z.
So, as we can see that both angles make a linear pair.
z + 135 = 180
z = 180 - 135
z = 45
Let's consider the interior angle to be y.
then,
y = 95 ( vertically opposite angle)
Now, The angle sum property
x + y + z = 180
x = 180 - 95 + 45
x = 40
Thus, the value of x is 40.
Learn more about the triangles;
#SPJ1
