2 1/4
2 1/3
These two fractions are both less than 2 1/2 but greater than 2
Answer: the missing side lenght is: 75ft
Step-by-step explanation:
Phytagoras theorem: 21^2+72^2=x^2 / x is the missing side lenght
![x=\sqrt[2]{21^{2} +72^{2} }](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B2%5D%7B21%5E%7B2%7D%20%2B72%5E%7B2%7D%20%7D)
N - the number
the multiplicative inverse: 1/n
n = 3/4
the multiplicative inverse of 3/4 is 4/3.
<h2>Given</h2>
- A quadrilateral ABCD with opposite pairs of sides being congruent.
<h2>To prove</h2>
- Opposite sides are parallel.
<h2>Solution</h2>
We'll prove first the triangles formed by diagonal are congruent then we'll prove the angles on either side of diagonal are congruent.
<u>The steps are:</u>
- Step ⇒ Statement ⇒ Reason
=============================================================
- 1 ⇒ AB ≅ CD and BC ≅ AD ⇒ Given
- 2 ⇒ AC = CA ⇒ Common side
- 3 ⇒ ΔABC ≅ ΔCDA ⇒ Side-side-side congruence
- 4 ⇒ ∠BAC ≅ ∠DCA ⇒ Corresponding angles of congruent triangles
- 5 ⇒ ∠BAC and ∠DCA are alternate interior angles ⇒ Definition of alternate interior angles
- 6 ⇒ AB║CD ⇒ The converse of alternate interior angles theorem
- 7 ⇒ ∠BCA ≅ ∠DAC ⇒ Corresponding angles of congruent triangles
- 8 ⇒ ∠BCA & ∠DAC are alternate interior angles ⇒ Definition of alternate interior angles
- 9 ⇒ BC║AD ⇒ The converse of alternate interior angles theorem
