Answer:
The answer is D
Step-by-step explanation:
D
Answer:
x = -4 ; y = 1
Step-by-step explanation:
2x + 6y = -2 --------(i)
-x + 2y = 6 --------(ii)
2x + 6y = -2
(ii)*2 <u> -2x + 4y = 12</u>
add; 10y = 10
y = 10/10
y = 1
Substitute y in (i)
2x + 6*1 = -2
2x +6= -2
2x = -2-6
2x = -8
x = -8/2
x = -4
Isn't it (-3,3) that's what I think because it's 1 2 3 but I don't know
Answer:
C
Step-by-step explanation:
in this form y=mx+b the m is the slope of the line and b is the y intercept. here the line intercepts the y axis at -4. the slope is rise over run or more formally found by (y2-y1)/(x2-x1) and here it 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
