Answer:
4
5(2)+5(7)
Step-by-step explanation:
Solving for variables in equations is important for many reasons. Of course, it's important to be able to solve for them so you can pass math tests. But even more so, it's important for real-life applications. There are many uses for solving equations. They can provide answers for mathematicians, accountants, insurance companies- you name it! There are way too many to list! It may not seem important now, but just keep working at it! I personally think solving equations is a ton of fun!
The line segment HI has length 3<em>x</em> - 5, and IJ has length <em>x</em> - 1.
We're told that HJ has length 7<em>x</em> - 27.
The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.
This means we have
7<em>x</em> - 27 = (3<em>x</em> - 5) + (<em>x</em> - 1)
Solve for <em>x</em> :
7<em>x</em> - 27 = (3<em>x</em> + <em>x</em>) + (-5 - 1)
7<em>x</em> - 27 = 4<em>x</em> - 6
7<em>x</em> - 4<em>x</em> = 27 - 6
3<em>x</em> = 21
<em>x</em> = 21/3
<em>x</em> = 7
Answer:
i) not similar but corresponding angles have equal measures.
the blue object required to be dragged to the box is the fourth object which is a square. A square will not have proportional lengths and is not similar to the given figure but the corresponding angles will have equal measures.
ii) not similar but side lengths are proportional.
the blue object required to be dragged to the box is the first object which is a parallelogram. A parallelogram will have proportional lengths and is not similar to the given figure because the corresponding angles do not have equal measures.
Step-by-step explanation:
i) not similar but corresponding angles have equal measures.
the blue object required to be dragged to the box is the fourth object which is a square. A square will not have proportional lengths and is not similar to the given figure but the corresponding angles will have equal measures.
ii) not similar but side lengths are proportional.
the blue object required to be dragged to the box is the first object which is a parallelogram. A parallelogram will have proportional lengths and is not similar to the given figure because the corresponding angles do not have equal measures.
The answer is C. The rest of the answers make no sense and do not work.
