a group consisted of 2 girls for every boy. 24 girls joined the group. there are now 5 girls for every boy. how many boys are in
2 answers:
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The right answer is Option C.
Step-by-step explanation:
Given equations are;
-2x+4y=17 Eqn 1
3x-10y= -3 Eqn 2
Adding Eqn 1 and Eqn 2;
The right answer is Option C.
Keywords: linear equations, addition
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<h2>Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:
First pair of opposite sides:
<u>Slope:</u>
Second pair of opposite sides:
<u>Slope:</u>
So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:
So the diagonals measure the same, therefore this is a rectangle.