Answer:
There would be 14 cats and 9 dogs
Step-by-step explanation:
In order to find the amount of cats and dogs, we need to set up the system of equations. To do so, start by setting cats as x and dogs as y. Now we can write the first equation to show the total number of animals.
cats + dogs = 23
x + y = 23
Now we can write a second one that shows the difference in the number of cats and dogs.
cats - dogs = 5
x - y = 5
Now we can add the two equations together to solve for x.
x + y = 23
x - y = 5
2x = 28
x = 14
Now that we have the number of cats, we can find the number of dogs by using either equation.
x + y = 23
14 + y = 23
y = 9
Answer:
congruent
Step-by-step explanation:
There are 8 divisions on this number line between 0.08 and 0.40, so the width of each div. is 0.32/8, or 0.04.
Starting with 0.08, fill in the boxes as follows: 0.12, 0.16, 0.20, .... 0.28, 0.32, 0.63, ... , and 0.44.
Answer:
x<2.5
Step-by-step explanation:
-4x +5>-5
-4x>-5-5
-4x>-10
x<10/4(on multiplying (-)ve sign both the sides inequality changes)
x < 2.5
Answer:
Option (B)
Step-by-step explanation:
From the given picture,
Given:
Two lines PM and QR are intersecting each other at a point N.
∠NMR ≅ ∠NPQ
NR ≅ QN
To prove:
ΔMNR ≅ ΔPNQ
Statements Reasons
1). NR ≅ QN 1). Given
2). ∠NMR ≅ ∠NPQ 2). Given
3). ∠MNR ≅ ∠PNQ 3). Definition of vertical angles
4). ΔMNR ≅ ΔPNQ 4). AAS theorem of congruence
Therefore, Option (B) will be the correct option.
