Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of
=
,
= 
Simplest form of
= 
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
Answer:
m+5nx(9-p)-6-2r
Step-by-step explanation:
here you go
<u>Answer:</u>
The correct answer option is C. Both A and B.
<u>Step-by-step explanation:</u>
We are given a figure of a rectangle which when transformed changes it length of two sides AB and DC to AB' and DC'.
By looking at the figure, we can conclude that the transformation has changed the lengths of some sides of the given figure as well as changed the area of the figure.
Therefore, the correct answer option is C.
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:

When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant

Given
r=3,m=216
Putting the values

The equation will now become

Putting r = 5

Hence,
The value of m is 1000 for r=5
This expression has three terms: the variables x, y, and z. We say that the first term is x, that the second term is y, and so on. This expression also has three terms: the number 7, the function f(x), and the variable a.