Answer:
11
Step-by-step explanation:
Substitute 3 for b
23 - 4(3)
Multiply 4(3) = 12
23 - 12
Subtract
23 - 12 = 11
Answer:
Step-by-step explanation:
Given
The equation of line is
The line which is parallel to the given line is
and shifted by 3 units down i.e. its y-intercept is 3 units below the given line
The hinge theorem states that if two triangles have equivalent side lengths but different angles, the triangle with the larger angle is going to have a longer opposing side.
UVT < UTS < STR
That means that VU < US < SR, due to the hinge theorem
Answer:
Step-by-step explanation:
After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.
ABC and DEF are congruent due to the following common properties of reflections and translations.
1. does not change the nature of geometric elements, i.e. maps a line to a line, a segment to a segment, etc.
2. preserve lenths of segments.
3. preserves angles
By the congruent theorem of SSS, the two triangles are congruent.