Given:
The polygon in the given figure are similar.
To find:
The missing side length.
Solution:
We know that the corresponding sides of similar figures are proportional.
The given polygons are similar, so the their corresponding sides are proportional.
So, the missing values in the equation of proportion are 15, 40, 32 respectively.
On solving the above equation, we get
Therefore, the value of x is 12.
Answer:
Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.
Step-by-step explanation:
Start with a line segment PQ that we will copy. Mark a point R that will be one endpoint of the new line segment. Set the compasses' point on the point P of the line segment to be copied. Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.
46 × 12 = 46 × (10 + <em>2</em>) =
= (<em>46</em> × 10 ) + (<em>46</em> × 2)
= <em>460</em> + 92
= <em>552</em>
The prism is (8 in)/(1/4 in/cube) = 32 cubes by (4 in)/(1/4 in/cube) = 16 cubes by (9/4 in)/(1/4 in/cube) = 9 cubes.
The number of cubes needed to fill the prism is
.. 32 * 16 * 9 = 4608
Answer:
a) Find the value of the function when x = -2
b) we get f(-2)=65
Step-by-step explanation:
We are given the function f(x)=6(8-x)+5
a) What does the notation f(-2) mean?
The notation f(-2) means that we have to put x = -2 in the given function of f(x) and find the value of the function when x = -2
b) What is the value of f(-2) ?
We need to find the value of f(-2)
Put x = -2
So, we get f(-2)=65
