Answer:
The two column proof can be presented as follows;
Statement
Reason
1. RUST is a rectangle
Given
2. RU = ST ; UT = RS
Definition of a rectangle
3. ∠STU and ∠SRU are right angles
Definition of a rectangle
4. ΔURS ≅ ΔSTU
By SAS rule of congruency
5. ∠USR = ∠SUT
By CPCTC
Step-by-step explanation:
Given that the side RU, the angle ∠SRU and the side RS of triangle ΔURS are congruent to the side ST the angle ∠STU and the side UT of triangle ΔSTU, then ΔURS is congruent to ΔSTU, by the Side-Angle-Side (SAS) rule of congruency
Therefore, we have that ∠USR ≅ ∠SUT and therefore, it can be shown that ∠USR = ∠SUT using the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.
Answer:
Thanks kind stranger! :)
Step-by-step explanation:
If you type that equation into Desmos graphing calc it’ll solve it for you
Answer:
y = 5x + 3
Step-by-step explanation:
Slope-intercept form is y=mx+b (where m is the slope and b is the y-intercept)
First find the slope with (13-8)/(2-1) = 5
Plug the slope and one of the coordinates into the equation to find the y-intercept now:
13 = 5 * 2 + b
13 = 10 + b
b = 3 (y-intercept is 3)
Now, write final equation: y = 5x + 3
The number of bacterial population after 5 hours is; 816
- The formula for the exponential growth of the population is;
N(t) = N_o(1 + r)^(t)
Where;
N(t) is number of bacteria after t hours
N_o is number of bacteria initially
r is growth rate
t is time
N_o = 480
r = 11.2% = 0.112
t = 5
N(5) = 480(1 + 0.112)^(5)
N(5) = 816.14
- Approximating to a whole number gives; N(5) = 816 bacteria
Read more about exponential growth at; brainly.com/question/15316908