Answer:
The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C
Step-by-step explanation:
If two parallel lines intersected by a line, then there are some pair of angles are formed
- Corresponding angles that are congruent
- Alternate interior angles that are congruent
- Alternate exterior angles that are congruent
- Consecutive interior angles that are supplementary
In the given figure
∵ Lines l and m are parallel
∵ They are cut by transversal p
∵ ∠2 and ∠3 are in the corresponding position
→ By using the 1st rule above
∵ Corresponding angles are congruent
∴ ∠2 ≅ ∠3
∴ m∠3 = m∠2
∵ m∠2 = 40°
∴ m∠3 = 40°
The statement which justifies Andrea's statement is "Corresponding angles are congruent"
Answer:
The average cost of each dinner at Dave's party is <u>$5.79</u>.
Step-by-step explanation:
Given:
Dave ordered dinner for a party of 10 people.
Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.
Now, to find the average cost of each dinner at Dave's party.
So, we get the total amount for the dinner:
Three people ordered the $4.75 chicken dinner.

Two people ordered the $4.95 fish dinner.

Five had the beef dinner at a cost of $6.75.

Total amount of dinner = 
Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:


Therefore, the average cost of each dinner at Dave's party is $5.79.
Answer:
Given that,
The number of grams A of a certain radioactive substance present at time, in years
from the present, t is given by the formula

a) To find the initial amount of this substance
At t=0, we get


We know that e^0=1 ( anything to the power zero is 1)
we get,

The initial amount of the substance is 45 grams
b)To find thehalf-life of this substance
To find t when the substance becames half the amount.
A=45/2
Substitute this we get,


Taking natural logarithm on both sides we get,







Half-life of this substance is 154.02
c) To find the amount of substance will be present around in 2500 years
Put t=2500
we get,




The amount of substance will be present around in 2500 years is 0.000585 grams
3600 * 1 * 0.085 = 306
answer: interest would be $306
Hello!
The Correct Answer would be:
"1.25 Pounds"
Why? Well:
1 ounce (oz) is equal to 0.0625 pounds (lb).
1 oz = (1/16) lb = 0.0625 lb
The mass m in pounds (lb) is equal to the mass m in ounces (oz) divided by 16:
m(lb) = m(oz) / 16
So as Result, The Answer is 1.25 Pounds.
Hope this Helps! Have A Wonderful Day! :)