Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:



Where
is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that
, then the shortest length of the triangle is:
and 
Since length is a positive variable, the only possible solution is:

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Answer:
180
Step-by-step explanation:
180-120 = 60 this is one of all the congruent angles
of the top of my head i know a regular triangle has three 60 degree angles meaning it is 60*3 = 180
Answer:
A
Step-by-step explanation:
Hey There!
So these triangles are congruent so segment CD is equal to segment DB
so to find x we use the equation
7x+10=10x+7
now we solve for x
step 1 subtract each side by 7
10-7=3
7-7 cancels out
now we have 7x+3=10x
step 2 subtract each side by 7 x
10x-7x=3x
7x-7x= cancels out
now we have
3x=3
step 3 divide each side by 3
3/3=1
3/3 cancels out
now we have
x=1
Answer:
$2315.25
Step-by-step explanation:
Given data
Principal= £2000
Time= 3 years
Rate= 5%
The compound interest expression is
A= P(1+r)^t
substitute
A= 2000(1+0.05)^3
A= 2000(1.05)^3
A= 2000*1.157625
A= 2315.25
Hence the Amount is $2315.25
Answer:
12/16 and 5/16
Step-by-step explanation:
We are given two fractions with denominator 4 and 16.
To find the least common denominator, of 4 and 16.
Factorise 4 and 16.
4 = 2x2
16 = 2x2x2x2
i.e. 4 divides 16.
Hence Least common denominator = bigger number = 16
Make the given fractions to equivalent fractions with common denominator 16.
3/4 = 4(3)/4(4) = 12/16 and
5/16 = 1(5)/16(1)= 5/16
Hence answer would be
12/16 and 5/16