Answer:
The angles that are supplementary to angle 4 are <3 and <2
Step-by-step explanation:
Let's say <4= 130
for <3 is x
x + 130= 180
x = 50
<2 is x and <4= 130
x + 130= 180
x = 50
Answer:true
Step-by-step explanation:
Answer:
The ratio of apples to peaches is 2 to 9.
Step-by-step explanation:
For every 1 apple, there are 3 bananas.
For every 3 peaches, there are 2 bananas.
To compare apples to peaches, we need to make the bananas in each of the proportions equal.
(1 apple = 3 bananas ) x 2 --> 2 apples= 6 bananas
(3 peaches = 2 bananas) x 3 --> 9 peaches= 6 bananas
Now that the bananas are equal and the other fruits are proportionate to the number of bananas, we can see that for every 2 apples there are 9 peaches.
Answer: The length of the shortest piece is 16 inches
The length of the medium piece is
20 inches
The length of the longest piece is 25 inches.
Step-by-step explanation:
Total length of the party sandwich is 61 inches. This length is to be cut into three different pieces.
Let x= the size of the longest piece.
Let y = the size of the medium piece.
Let z = the size of the shortest piece.
The middle piece will be 4 inches longer than the shortest piece. This means that
y = z + 4 - - - - - - 1
The shortest piece will be 9 inches shorter than the longest piece. This means that
x = z +9 - - - - - - -2
Since total length of the party sandwich is 61 inches, it means that
x + y + z = 61 - - - - - - -3
We will substitute equation 1 and equation 2 into equation 3. It becomes
z + 9 + z + 4 + z = 61
13 + 3z = 61
3z = 61 - 13 = 48
z = 48/3 = 16
y = z + 4 = 16 + 4
y = 20
x = z + 9 = 16 + 9
x = 25
