The answer is C,
as she uses SSS to prove its congruent, she uses sides instead of angles so option a and d is not correct. as it needs to prove triangle pqr is congruent to triangle sqr, its not necessary to prove PQ is equal to QR. so the answer is c
Answer:
1.45
2.61
3.33
4.108
5.98
6.82
7.52
8.142
9.36
10.64
Step-by-step explanation:
Use rule that a straight line is 180 and a right angle is 90
Answer:

Step-by-step explanation:
Step 1:-
using logarithmic formula 
so given 
now simplify
= 
<u>Answer:</u>-
![log(x^{3}y^{2})= [tex]3 log x+2 log y](https://tex.z-dn.net/?f=log%28x%5E%7B3%7Dy%5E%7B2%7D%29%3D%20%5Btex%5D3%20log%20x%2B2%20log%20y)
Answer:
The width of the door is 32 cm.
Explanation:
The formula for area is A = l*w
so the equation becomes:
1792 = 56*w
Divide both sides by 56 and you get
w = 32
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5