Formula to find the slope (y1-y2)/(x1-x2)
if (x1,y1) is (13,2) and (x2,y2) is (15,14)
(2-14)/(13-15)=6
Answer:
None
Step-by-step explanation:
-4x-11=2(x-3x)+13
-4x-11=2x-6x+13
-4x-11=-4x+13
-11=13
Therefore, there are no solutions for the equation as both sides will never be equal to each other.
Answer: 95°
Step-by-step explanation: We are given information for Angles 1 and 4, which happen to be vertical angles, meaning they are congruent. Because of this, we can say 3x+10=4x-15, therefore x=25. Angles 1,2,3 and 4 must add up to 360°, and since we know angles 1 and 4 are 85° (3*25 + 10 = 85), we can find angles 2 and 3. 360° - 85° - 85° = Angle 2 + Angle 3. Angle 2 + Angle 3 = 190, and because Angles 2 and 3 are vertical angles and therefore congruent, we can divide 190 by 2 and get that Angles 2 and 3 equal 95°. Because lines b and c are parallel, any corresponding angles created by a transversal are congruent. This basically means Angles 3 and 7 must be congruent, therefore Angle 7 = 95°
Congruent - same meaning as equal
Vertical Angles - each of the pairs of opposite angles made by two intersecting lines.
Answer:
If a polygon has four sides then it is a quadrilateral
Answer:
∠DFE ≅ ∠DFG
Step-by-step explanation:
we know that
Triangles are congruent by SAS, if any pair of corresponding sides and their included angles are equal in both triangles
In this problem we have that
The pair of corresponding sides that are equal are
EF=GF and DF (is the same side for both triangles)
The included angle are ∠DFE and ∠DFG
therefore
The additional information needed to prove that triangles DEF and DGF are congruent by SAS is that angles ∠DFE and ∠DFG are equal
so
∠DFE ≅ ∠DFG
