If 5x + 32 =4-2x, what is the value of x ?
2 answers:
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<u>Given</u>:
The length of a rectangle is 5 less than its width.
The area of the rectangle is 84 square feet.
We need to determine the quadratic equation in standard form that represents the area of the rectangle.
<u>Dimensions of the rectangle:</u>
Let l denote the length of the rectangle.
Let w denote the width of the rectangle.
Since, it is given that the length is 5 less than its width, it can be written as,
and
<u>Area of the rectangle:</u>
The area of the rectangle can be determined using the formula,
Substituting A = 84, and
, we get
Adding both sides of the equation by w², we have;
Subtracting by 5w on both sides, we get;
Thus, the quadratic equation in standard form for the area of the rectangle is
Answer:
The triangles are congruent by
SSS
Step-by-step explanation:
Given:
First Label the Diagram:
AB ≅ CD
AD ≅ BC
To Prove:
Δ ABC ≅ Δ CDA
Proof:
In Δ ABC and Δ CDA
AB ≅ CD ....……….{Given}
BC ≅ DA …………..{Given}
AC ≅ AC ……….{Reflexive Property}
Δ ABC ≅ Δ CDA ….{ By Side-Side-Side test}
