<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
Answer:
Supplementary angles add to 180. Let x = the measure of one angle. The other is three and one half times larger, or 3.5x:
x + 3.5x = 180
Step-by-step explanation:
Answer:
-37
Step-by-step explanation:

<u>Answer:</u>
y = -1/3x - 5
<u>Introduction:</u>
The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.
<u>Step-by step explanation:</u>
- => Slope = rise/run =

- => Slope =

- => Slope =

- => Slope =

Since we have found the slope, let's find the y-intercept to create our equation.
<u>Conclusion:</u>
Therefore, our new equation is y = -1/3x - 5
Hoped this helped.

Answer:
-3
Three feet below the initial elevation
Step-by-step explanation:
The initial elevation is 224 feet.
We take descent to be negative and ascent to be positive.
The numerical addition expression is

We simplify this to obtain:

The negative sign means Sally is 3 feet below his initial elevation