The length of
is given by the relationship between the similar triangles
ΔABD and ΔBDC.
= <u>80</u>
Reasons:
The given parameters are;
The altitude of triangle ΔABD = 
The hypotenuse of formed right triangle = 
The length of AD = 8
Length of BD = 24
Whereby ΔABD is a right triangle
We have;
ΔABD is similar to ΔBDC
Therefore, by similar triangle proportional sides relationship, we have;

Which gives;
= 
Therefore;



Which gives;

Learn more about similar triangles here:
brainly.com/question/4618367
Answer:
66%(technically 0.66 repeating)
Step-by-step explanation:
We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage <u>times</u> 69 equals 46:

Now that we formed this equation, we can solve for the percentage as if it was x.
First lets simplfy:

Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:

=

Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):

=
percentage = 66%
Hope this helps! :3
Answer:
Jane's situation is the one which represents a porportional relationship.
Step-by-step explanation:
To verify the proportionality betwen a ratio you have to divide all the ratios and all them have to get the same constant factor.
So, if you divide the matt's ratios you aren't gonna find the same constant factor
12/1=12
20/2=10
31/2=15,5
But if you try with Jane's ones:
12/1=12
24/2=12
36/3=12
This 12 is the known constant factor, which show us that these ratios are proportional.