Answer:
M=(-2,-2)
J=(-1,-4)
K=(-5,-5)
L=(-7,-2)
Step-by-step explanation:
Answer: x^2+5
Step-by-step explanation:
x is the unknown variable which is representing the number squared and then you add 5 to complete expresssion.
Answer:
14.7 km
Step-by-step explanation:
Given:
Scale of a map is 2 cm = 21 km.
We know that, 1 cm = 10 mm
Therefore, 2 cm = 2 
10 = 20 mm
Therefore, the scale of the map is, 20 mm = 21 km
Now, let the actual distance be 'd' km for 14 mm.
Using proportion of the two quantities, we get:
Multiplying both sides by 14, we get:
Therefore, the actual distance of 14 mm is 14.7 km.
Answer:
Option A:
Yes, it is proportional because it has a constant rate of change.
Step-by-step explanation:
One trick you can use to easily tell a proportional graph is that it follows a straight line. It does not matter whether the line slopes downwards or upwards. The fact that it is straight and not cured at any point, should hint you that the graph is proportional.
Proportional graphs have a constant rate of change. The value of the slope calculated when using any two (x, y) coordinates are the same for any point along the line.
Answer:
- 1. First blank: <u>∠ACB ≅ ∠E'C'D'</u>
- 2. Second blank: <u>translate point E' to point A</u>
Therefore, the answer is the third <em>option:∠ACB ≅ ∠E'C'D'; translate point D' to point B</em>
Explanation:
<u>1. First blank: ∠ACB ≅ ∠E'C'D'</u>
Since segment AC is perpendicular to segment BD (given) and the point C is their intersection point, when you reflect triangle ECD over the segment AC, you get:
- the image of segment CD will be the segment C'D'
- the segment C'D' overlaps the segment BC
- the angle ACB is the same angle E'C'D' (the right angle)
Hence: ∠ACB ≅ ∠E'C'D'
So far, you have established one pair of congruent angles.
<u>2. Second blank: translate point D' to point B</u>
You need to establish that other pair of angles are congruent.
Then, translate the triangle D'C'E' moving point D' to point B, which will show that angles ABC and E'D'C' are congruents.
Hence, you have proved a second pair of angles are congruent.
The AA (angle-angle) similarity postulate assures that two angles are similar if two pair of angles are congruent (because the third pair has to be congruent necessarily).
