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.
The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.
<h3>What is the post run mean?</h3>
This can be found as:
= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10
= 98
<h3>What is the post run median?</h3>
First order the pulses from smallest to largest:
= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110
The two digits in the middle are:
96 and 100
The median will be:
= (96 + 100) / 10
= 98
In conclusion, option B is correct.
Find out more on the median at brainly.com/question/396397.
Answer:
A point and a line.
Further explanation:
Ray is part of the line with one endpoint. Ray is an endless straight path in one direction from a starting point, e.g., .
The arrow above the point shows the direction of the longitudinal beam. The length of the ray cannot be calculated.
Undefined terms are basic figure that is not defined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.
These key terms cannot be mathematically defined using other known words.
A point represents a location and has no dimension (size). It is labeled with a capital letter and a dot.
A line is an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
A plane is a flat surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.
Let
x-------------> amount added <span>to each side
</span>A-------------> area increased----------> 84 ft²
we know that
A=(10+x)*(5+x)=84-----------> 10*5+10*x+5*x+x²
50+15x+x²=84----------> x²+15x-34=0
<span>solving the second order equation
</span>x1=-17
x2=2
the answer is x=2 ft
Answer:
4
Step-by-step explanation:
To find MEAN, add up <em>all</em> the values in a data set and then divide by the <em>number</em> of values.
6+2+7+3+2 = 20
Number of values in data set: 5
20÷5= 4
