Answer:
The answer is the option B. 
Step-by-step explanation:
We know that
The scale factor is equal to 
so
To know the lengths sides of triangle A'B'C'. multiply the lengths sides of triangle ABC by the scale factor
-----> substitute 
-----> substitute 
-----> substitute 
therefore
The answer is the option B
The sum of the squares of their ages is; 5x²
<h3>How to Solve Algebraic Word Problems?</h3>
We are told that Maria is twice the age of Miriam.
Now, of the age of Miriam is x, then we can say that;
Age of Mariam = x
Age of Maria = 2x
Now, we want to find the sum of the squares of their ages. Thus, this is expressed as;
x² + (2x)²
= x² + 4x²
= 5x²
Read more about Algebraic Word Problems at; brainly.com/question/13818690
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The complete question is;
Express in algebraic language: the sum of the squares of the ages of Maria and Miriam, if it is known that Maria is twice the age of Miriam.
Answer:
The smallest of the two consecutive integers is 10 or less.
Step-by-step explanation:
Let x represent the smallest of the even integers in the sequence.
Then the sum of two consecutive even integers is ...
x + (x +2) = 2x +2
And half the sum of the next two consecutive even integers is ...
(1/2)((x +4) + (x +6)) = x + 5
The relationship between these values is ...
2x +2 ≤ 7 + (x +5)
Subtracting x+2 gives ...
x ≤ 10
The least of the two consecutive even integers is at most 10.
Answer:
See below
Step-by-step explanation:
Standard form of h,k centered circle
(x-h)^2 + (y-k)^2 = r^2
for this circle center, h,k = 2,-13 radius = sqrt (150)= 5 sqrt 6
Answer:
4/3
Step-by-step explanation:
You use Rise over Run.
It <em>runs</em> 3 blocks to the left (+).
It <em>rises</em> 4 blocks up (+).
