Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
<h2>ST ≅ TS</h2>
1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
- Example: a = a
- In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>
1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
- Example: RST ≅ UTS (both have S and T)
- Can be seen as RST ≅ UST as well to make their similarity more evident.
2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).
Answer:
The correct option is;
[2.5, ∞)
Step-by-step explanation:
The given exponential equation can be expressed as follows;
10,000 × 4ˣ ≥ 320,000
Therefore we have;
4ˣ ≥ 320,000/10,000
4ˣ ≥ 32
㏒(4ˣ) ≥ ㏒(32)
x·㏒4 ≥ ㏒(32)
x ≥ ㏒(32)/㏒4
∴ x ≥ 2.5
Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval [2.5, ∞)
Answer:
b
Step-by-step explanation:
Answer:
no solution
Step-by-step explanation:
solve the equation
3x - 8 = 3(x-4) + 1
3x - 8 = 3x - 11
3x + 3 = 3x
x + 3 = x
A number x plus 3 cannot equal a number x.
Answer:
x=2
Step-by-step explanation:
x^2+10x+24=0
12x=24=0
12x=24
x=2
My math is rusty so this may not be the right answer.