Answer:
Angles 1 and 3 are congruent as vertical angles; angles 3 and 7 are congruent as corresponding angles.
Step-by-step explanation:
<1 and <3 are vertical angles because they are formed by the same lines and are opposite each other . 3 and 7 are corresponding angles because they are in the same position at each intersection where a straight line crosses two others. Since the lines are parallel, they are equal That makes 1 and 7 equal
Answer:
12 and 7 meters
Step-by-step explanation:
The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.
The length is 12 and the width is 7
Answer:
There are 1500 non fiction books and 500 fiction books currently in the store.
Step-by-step explanation:
Given:
Total Number of books = 2000
Let the number of fiction books be 'x'.
Now given:
There are 3 times as many non-fiction books as fiction books.
Number of non fiction books = ![3x](https://tex.z-dn.net/?f=3x)
We need to find the number of non-fiction and fiction books.
Solution:
Now we know that;
Total Number of books is equal to sum of the number of non-fiction and fiction books.
framing in equation form we get;
![x+3x=2000\\\\4x=2000](https://tex.z-dn.net/?f=x%2B3x%3D2000%5C%5C%5C%5C4x%3D2000)
Dividing both side by 4 we get;
![\frac{4x}{4}=\frac{2000}{4}\\\\x= 500\ books](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B4%7D%3D%5Cfrac%7B2000%7D%7B4%7D%5C%5C%5C%5Cx%3D%20500%5C%20books)
Number of fiction books = 500
Number of non fiction books = ![3x=3\times 500 =1500](https://tex.z-dn.net/?f=3x%3D3%5Ctimes%20500%20%3D1500)
Hence There are 1500 non fiction books and 500 fiction books currently in the store.
Answer:
see explanation
Step-by-step explanation:
(
)(t) =
= ![\frac{t+3}{3t-4}](https://tex.z-dn.net/?f=%5Cfrac%7Bt%2B3%7D%7B3t-4%7D)
Answer:
delete this
Step-by-step explanation: