Answer:
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles FEG and FHJ are similar by AA Similarity Theorem
see the attached figure to better understand the problem
so
we have
substitute
Answer:
The complement is 53 and the supplement is 143
Step-by-step explanation:
Two complementary angles add to 90
PQR and x = 90
37+x = 90
Subtract 37 from each side
37-37 +x =90-37
x = 53
The complement is 53
Two supplementary angles add to 180 degrees
PQR and x = 180
37+x = 180
Subtract 37 from each side
37-37 +x= 180-37
x = 143
The supplement is 143
Answer:
Sum of the numbers = 3
One number = 6
Other number = 8x
⎇<u> </u><u>Equation = 8x + 6 = 3</u>
Other number = ?
➟<u> The value of x in fraction form is - 3/8 while in decimal form is - 0.375</u>
⎆ <u>The value of 8 times a number or 8x is - 3.</u>
It can actually be done many ways. You must match up the corresponding sides.
For example, 24/20 and x/7 would work so would, 24/x and 20/7, and 7/20 and x/24. Most proportions are set up the same way. You just have to make sure to go in the same order for the two triangles. Sorry if it's confusing.
So let's use-20/7 and 24/x.
First, we multiply 7*24 and 20*x and we get 20x=168
Then we divide to get 168/20. X=8.4