the figure below shows segments ac and ef which intersect at point b. segment af is parallel to segment ec: which of these facts is used to prove that triangle abf is similar to triangle cbe? angle fab is equal to angle ceb because corresponding angles are congruent. angle abf is congruent to angle ceb because vertically opposite angles are congruent. angle afb is congruent to angle ceb because alternate interior angles are congruent. angle afb is congruent to angle ceb because supplementary angles are congruent. i chose b, but i'm not positive it is the answer. can anyone give some clarification?
Answers
Answer: Angle AFB is congruent to angle CEB because alternate interior angles are congruent.
Step-by-step explanation:
Given: ,
And, ac and ef are intersecting each other at point b.
Prove: Triangle abf is similar to triangle cbe
Since, (Reflexive)
,
⇒ ef is the common transversal of parallel lines fa and ec.
(Because Alternative interior angles are congruent)
Thus, By AA similarity postulate,
Related Questions
For the graph shown, select the statement that best represents the given system of equations.Number graph ranging from negative five to five on the x axis and negative six to four on the y axis. A line with a negative slope is drawn on the graph. 6x + 4y = 2 3x + 2y = 1 A. not enough information B. coincident C. consistent and independent D. inconsistent
If the ratio of men to women in a movie theater is 1.00 when written as a decimal, what must be true?
A water faucet leaked 2 ⅙ liters of water every ⅓ of an hour. How many liters did it leak every hour?
Find the sum of 12/13 +(-1/3)
Answers
the question does not present the options, but thisdoes not interfere with the resolution
we know that
Perimeter of rectangle=2*[W+L]
where
L is the length of rectangle
W is the width of rectangle
Perimeter=18 cm
so
18=2*[W+L]-----> divide by 2------> 9=W+L
Let
x-------> L
y-------> W
then
x+y=9
using a graph tool
see the attached figure
the slope of the line is m=1
the x intercept is the point (9,0)
the y intercept is the point (0,9)
Final answer:
The relationship between the width and length of a rectangle given a constant perimeter is inverse; as the length increases, the width decreases proportionally. The graph representing this relationship would feature the length on the x-axis and width on the y-axis, and the line would represent all pairs of length and width that satisfy the equation
Explanation:
The problem in question asks to find the relationship between the width and length of a rectangle given its perimeter. In the given expression,
P = 2l + 2w
, where P is the perimeter, l is the length, and w is the width of the rectangle. Given that P = 18 cm, the relationship between the width and length can be represented by the equation
w = (P - 2l)/2
which implies that as the length increases the width decreases proportionally to maintain the constant perimeter. We must then create a graph where the x-axis represents the length and the y-axis represents the width, and a line representing possible solutions (l, w) that satisfy both the equation and the conditions given (length and width must be greater than 0).
Learn more about Geometric Relations here:
#SPJ11
Answers
Answer:
a = - 2 , a = 6
Step-by-step explanation:
a² - 4a - 12 = 0
consider the factors of the constant term (- 12) which sum to give the coefficient of the a- term (- 4)
the factors are + 2 and - 6, since
+ 2 × - 6 = - 12 and + 2 - 6 = - 4
use these factors to split the a- term
a² + 2a - 6a - 12 = 0 ( factor the first/second and third/fourth terms )
a(a + 2) - 6(a + 2) = 0 ← factor out common factor (a + 2) from each term
(a + 2)(a - 6) = 0 ← in factored form
equate each factor to zero and solve for a
a + 2 = 0 ( subtract 2 from each side )
a = - 2
a - 6 = 0 ( add 6 to both sides )
a = 6
solutions are a = - 2 , a = 6
c. region
b. volume
d. area
Answers
Answer:
D area
Step-by-step explanation:
Answers
Tyra = 120/8 (15 calls/hour)
Together they are 27 calls per hour.
120 / 27 = 4.4444444444
So it'd take them 4.44444444 (recurring) hours to make 120 calls.
Answers
Answers
Answer:101
Step-by-step explanation:this is what ya gotta do:
add rsu and ust together
67+34=rst
rst =101