In mathematics, the statement if a, then b, says that if a is true, then be is true. If you think about it, this makes sense too. That means that the answer is C., because of the definition of the statement.
This example is the Symmetric Property.
I hope this helps you!
xo, Leafling
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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Answer: the equations are
k = d + 33
k - 2 = 4(d-2)
Step-by-step explanation:
Let the present age of Kevin be represented by k
Let the present age of Daniel be represented by d
Kevin is 33 years older than Daniel. This means that the expression for their current age is
k = d + 33
Two years ago, Kevin was 4 times as old as Daniel. This means that 2 will be subtracted from their present ages to depict two years ago. Therefore, Two years ago for Daniel will be d-2
Two years ago for Kevin will be k - 2
Remember that Kevin was 4 times as old as Daniel two years ago, it becomes
k - 2 = 4(d-2)
Answer:
250ft
Step-by-step explanation:
45ft + 45ft of fencing for the two short ends. 80ft +80ft for the two long sides
45ft+45ft=90ft
80ft+80ft=160ft
90ft+160ft=250ft
