Answer:
The system of equations has one solution. The two equations are intersecting lines.
Step-by-step explanation:
if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.
2(12x+2)=x+4
next, you have to distribute
24x+4=x+4
subtract 24x from each side
4=-23x+4
subtract 4 from each side
0=23x
divide each side by 23
x=0
now, plug in 0 to one equation.
y=12(0)+2
y=2
the lines intersect at one point, (0,2)
Reasons:
Reason 3: Congruent supplements theorem
Statements:
Statement 4: Angle 1 is congruent with angle 2
Answer: Option D:
Reason 3: Congruent supplements theorem.
Statement 4: Angle 1 is congruent with angle 2
Answer:
I'm pretty sure it's a
Step-by-step explanation:
Area of circle= 3.14r^2
r= 4
A= 50.27
Answer:
Δs DEF and DRQ not similar ⇒ 2nd answer
Step-by-step explanation:
Let us revise the cases of similarity
- AAA similarity : two triangles are similar if all three angles in the first triangle equal the corresponding angle in the second triangle
- AA similarity : If two angles of one triangle are equal to the corresponding angles of the other triangle, then the two triangles are similar
- SSS similarity : If the corresponding sides of the two triangles are proportional, then the two triangles are similar
- SAS similarity : In two triangles, if two sets of corresponding sides are proportional and the included angles are equal then the two triangles are similar.
In triangles DEF and DRQ
∵ m∠EDF = m∠REQ ⇒ vertical opposite angles
∵ m∠E ≠ m∠R
∵ m∠F ≠ m∠Q
<em>Only one angle in the 1st triangle is equal to one angle in the other triangle, no other angles are equal, similarity needs at least two angles in one triangle equal to two angles in the other triangle </em>
∴ The two triangle are NOT similar by any case of similarity
∴ Δs DEF and DRQ not similar