The length of the line segment BC is 31.2 units.
<h2>Given that</h2>
Triangle ABC is shown.
Angle ABC is a right angle.
An altitude is drawn from point B to point D on side AC to form a right angle.
The length of AD is 5 and the length of BD is 12.
<h3>We have to determine</h3>
What is the length of Line segment BC?
<h3>According to the question</h3>
The altitude of the triangle is given by;

Where x is DC and y is 5 units.
Then,
The length DC is.

Squaring on both sides

Considering right triangle BDC, use the Pythagorean theorem to find BC:

Hence, the length of the line segment BC is 31.2 units.
To know more about Pythagoras Theorem click the link given below.
brainly.com/question/26252222
In this equation, you have to treat the number in the bracket first on the basis of BODMAS
15 - [-3]- 4
Note that when two minuses come together the product is a plus sign.
15 +3 - 4
You have to add before you subract
18 - 4 =14
Therefore, 15- [-3] - 4 = 14.
Answer:


Step-by-step explanation:
Given
See attachment for MNPQ and RSTU
Required
Find x and y
To solve this question, we make use of equivalent ratios of corresponding side lengths.
The ratio of corresponding sides are:




From the attachment, we have:



To solve for x, we equate
and 

Express as fraction

Make x the subject




To solve for y, we equate
and 

Express as fraction

Make y the subject




Answer:
Second answer choice
Step-by-step explanation:
Since -10 is outside t you multiple every number inside the parenthesis by -10