Answer:
Proved
Step-by-step explanation:
Figure two triangles which are congruent to each other has been attached
Proof :
1)BC= CD ( given )
2) AC= CE ( Given)
3) ∠ACB= ∠ECD ( vertically opposite to each other)
therefore, ΔABC≅ΔDCE ( By SSA postulate)
Now, CF and CG be medians on the sides Ab and DE of the Δ's ABC and DCE respectively
⇒CF= CG because of CPCTC that is corresponding parts of congruent triangles are congruent.
Therefore, congruent triangles have congruent corresponding medians.
Answer:
5.83 = CD
Step-by-step explanation:
We can use the pythagorean theorem to solve
The legs are the x and y distances
x = (1- -4) = 5 units and y = 3 units
a^2+ b^2 = c^2
5^2 + 3^2 = c^2
25+9 = c^2
34 = c^2
Taking the square root of each side
sqrt(34) = c which is the distance from C to D
5.830951895 = CD
5.83 = CD
The first thing we must do for this case is to define variables.
We have then:
x = Tim's age
Now we write the equation:
x + 7 = 3 (x-19)
Answer:
Tim's age in 7 years will be three times what it was 19 years ago:
x + 7 = 3 (x-19)
Question #1:
a)
(4, 2)
Both of these are positive, and when x and y are both positive they're both in Quadrant 1.
b)
(x + 1, y - 5)
Add 1 to 'x', subtract 5 from 'y':
(4 + 1, 2 - 5)
(5, -3)
x is positive and y is negative, that means this will be in Quadrant 4.
c)
Reflection Across y-axis:
(-x, y)
Multiply -1 to 'x':
(5 * -1, -3)
(-5, -3)
Both of these are negative, if both x and y are negative it's located in Quadrant 3.
Question #2:
No, that can't tessellate a plane. We can't cover up space so there are no overlaps or gaps.