Answer:
Option C.
Step-by-step explanation:
Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.
Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.
Using triangle proportionality theorem we get


On cross multiplication we get


Divide both sides by 9.

The length of SA is 3ft.
Therefore, the correct option is C.
Answer:
m∠CDE < m∠DEC < m∠ECD
OR
m∠D < m∠E < m∠C
Step-by-step explanation:
According to the angle-side inequalities theorem: In a triangle, the angle opposite to a longer side is larger, and vise versa, the side opposite to a larger angle is longer.
So, the order from smallest to largest is:
m∠CDE < m∠DEC < m∠ECD
OR
m∠D < m∠E < m∠C
Answer:
The equation of the line is:

Therefore, option a is the correct answer.
Step-by-step explanation:
Given the points
Finding the slope




As the point-slope form of the equation of the line is

where m is the slope
substituting the values
and the point (-2, 2)



∵
Add 2 to both sides


Hence, the equation of the line is:

Therefore, option a is the correct answer.
Answer:
D. y + 9 = –2(x – 10)
Step-by-step explanation:
GradPoint answer
I also got the answer correct on the quiz.
Answer:
true, false, true, true
Step-by-step explanation:
The set names in this diagram have nothing to do with exponents, radicals, and polynomials. We'll take the diagram at face value.
(a) The labels on the sets seem to be appropriately placed.
__
(b) "Some" in this context means "any or all of the set". Since all of the circle representing integers is outside the rectangle representing irrational numbers, it is TRUE that some integer are not irrational numbers.
No part of the circle representing whole numbers is inside the rectangle representing irrational numbers, so it is FALSE that some whole numbers are irrational numbers.
A portion of the circle representing integers is outside the circle representing whole numbers, so it is TRUE that some integers are not whole numbers.
Every part of the circle representing whole numbers is inside the rectangle representing rational numbers, so it is TRUE that all whole numbers are rational numbers.