Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
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Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
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Answer:
Peggi put a total of 18 hair bows in the bag
Step-by-step explanation: There at six bags with an unknown amount of hairbows in each bag. You add 2 to each bag and you will end up getting 12 hairbows from her sister because 6x2=12. then you subtract the total (30) from her sister Toris amount (30-12) this equals 18.
Answer:
B. 128 square centimeters
Step-by-step explanation:
So first make the top triangle part its own figure. By using information provided you can figure out the height of the triangle would be 3 by subtracting 11 from 14. Take 3 multiply it by the base and then 1/2 to get 18. Then find the area of the rectangle which would be 10 times 11 which is 110. Add the areas of the two parts, 110 and 18 to get 128.
Answer:
Step-by-step explanation:
This question asks to solve an inequality which can be written as:
Solve for x:
From here we can deduce that the inequality is 
when:
or 
We can write the solution as:
Answer:
142 pages
Step-by-step explanation:
The parameters given are
First page of part of the book available = 143
The last is numbered with the digits 143
Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops
Number on the pages on the first part = from 1 to number on the first page on the second part - 1
Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.
