Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length
of T R is 36, the length of Q U is 40, and the length of U S is 45.
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?
2 answers:
Answer:
the first statement is true
Step-by-step explanation:
The side- splitter states that if the line is parallel to a side of the triangle and it intersects the other 2 sides, it divides those sides proportionally.
Thus the converse is that if the sides are proportional then the side TU is parallel to the side RS
Calculating the ratios
=
=
=
=
Since the ratios are equal then TU is parallel to RS
You might be interested in
Answer:
The height of the triangle is 5.2 inches
Step-by-step explanation:
we know that
An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure
Remember that an equilateral triangle has three equal sides and three equal interior angles
so
An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees
Let
h ----> the height of triangle
b ---> the length side of the triangle
Applying Pythagoras Theorem
we have
substitute
see the attached figure to better understand the problem
Answer:
In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.
Step-by-step explanation:
Given:
Cost of movie pass = $40
Cost per matinees with pass = $1.00
Cost per matinees without pass = $3.50
To Find:
Number of times must Seth attend in order for it to benefit his father to buy the pass = ?
Solution:
Let x be the number of times he wants to visit
To profit his father
The number of visits without pass = the number of visits with passin the cost of $3.50
Then, without pass if he visits for x times then the cost will be = 3.50x
Also with pass, the number of times he can visit the pass =
then
x = 11.42
x = 11 (approx)