Yes it can. you will want to have the 12in be the hypotenuse and 7in and 5 in as legs, both at an angle, (to create the triangle Shape)
12
The value of angle x is 53° for the given triangle.
<h3>What is
angle?</h3>
An angle is the formed when two straight lines meet at one point, it is denoted by θ.
In the given isosceles triangle,
one angle is 74°,
Since, two sides of the isosceles triangle are equal, so the corresponding angles will be equal to x.
The sum of angles of a triangle = 180°
x + x + 74 = 180
2x = 106
x = 53
The required value of angle x is 53°.
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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
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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:
. r=9 inches is the answer.