Answer:
Step-by-step explanation:
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).
For the vectors u = ⟨2, 9⟩, v = ⟨4, –8⟩, and w = ⟨–12, 4⟩, what is u + v + w? ⟨6, 1⟩ ⟨6, 5⟩ ⟨-6, 5⟩ ⟨-6, 21⟩
Levart [38]
Answer:
< - 6, 5 >
Step-by-step explanation:
Add the corresponding components of each vector, that is
u + v + w
= < 2, 9 > + < 4, - 8 > + < - 12, 4 >
= > 2 + 4 - 12, 9 - 8 + 4 >
= < - 6, 5 >
Answer:
B) A grocery store sells salmon by the pound. The function C(x) represents the cost, in dollars, of x pounds of salmon. An appropriate domain for the function is positive rational numbers.
C) A ball was thrown into the air with an initial velocity of 65 feet per second. The height of the ball after t seconds is represented by the equation h = 65t − 16t2. An appropriate domain for the function is positive rational numbers.
D) A taxi company charges $2.50 plus $1.75 for each mile driven. A function C(x) shows how much a taxi fare cost. An appropriate domain of C(x) is all whole numbers.
