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
-3x > 0
Divide both sides by -3 remembering to "flip" the inequality as you do so, because it's negative.
Answer:
Rational
Step-by-step explanation:
You can write it as a ratio of a/b
Answer:
LM = 20
Step-by-step explanation:
Use the Sine rule to calculate the length of LM
We require to find ∠N using sum of angles in a triangle.
∠N = 180° - (53 + 44)° = 180° - 97° = 83°, then
= 
( cross- m ultiply )
LM × sin44° = LN × sin83°, that is
LM × sin44° = 14 × sin83° ( divide both sides by sin44° )
LM = 
= 20
Answer:
The range of the given data set is 6.
Step-by-step explanation:
Range of the data set provides us with some basic information regarding spread of the data.
It is commonly used and quite easy to find.
First step is to arrange the values from the lowest to the highest.
It is already given arranged, so that will savd us some time.
Next step is simply subtracting the two values on the extremes, or, simply put, subtract the lowest from the highest value.
So, the range in this case would be 7-1=6.
