1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SashulF [63]
2 years ago
8

Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

Mathematics
1 answer:
prisoha [69]2 years ago
6 0

Answer:

The correct option is A.

Step-by-step explanation:

When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.

In the case of the image.

h is the left side of the smaller triangle.

h + j is the left side of the larger triangle.

Then we have the relation:

(h + j) = C*h

If we isolate C, we get:

C = (h + j)/h

We can also write this for the other side (the bottom one)

k*C = (k + i)

C = (k + i)/k

Then we have:

(h + j)/h = (k + i)/k

We can rewrite this as:

h/h + j/h = k/k + i/k

1 + j/h = 1 + i/k

We can subtract 1 in each side to get:

j/h = i/k

This is almost the same we can see in option A (its inversed)

If we apply the inverse to both sides, we get:

(j/h)^-1 = (i/k)^-1

h/j = k/i

Which is the same equation that we can see in option A.

Then the correct option is A.

You might be interested in
Help pleaseeee!!!! Geometry
puteri [66]
Tan x=opposite/adjacent
cot x=adjacent/opposite

so you need to inverse the fraction
tan x=.78 as a fraction is 78/100
-> inversed= 100/78=1.28=cot x

so it is the second option
8 0
3 years ago
Which linear inequality is represented by the graph?​
julia-pushkina [17]
Please where is the graph
8 0
3 years ago
How many combinations are possible if you select one flavor of ice cream and one
Sonja [21]

Answer:

9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the equation of the line in slope intercept form? ILL MARK BRANLIEST ANSWER
lianna [129]

two points are (0,0) and (100, -800)

m = (y2-y1)/(x2-x1) = (-800-0)/(100-0) = -8

point slope form of the line is

y-y1 = m(x-x1)

y-0 = -8 (x-0)

y=-8x

this is in slope intercept form now

y=-8x


3 0
3 years ago
The scale of a map is 5 mm = 2 feet. What is the map distance if the actual distance is 50 feet. BE SURE TO LABEL!
Vikentia [17]
It would probably be 20 feet if I’m not wrong
7 0
3 years ago
Read 2 more answers
Other questions:
  • The first term of a geometric series is a/b^2, and the common ratio is b/a^2. Find the next five terms of the geometric sequence
    7·2 answers
  • Write the product in its simplest form:<br> -263. (-6°)
    7·2 answers
  • Can someone please help me with this?
    9·1 answer
  • Can someone help me with this
    13·2 answers
  • Helppp pls, I cant seem to place them..
    8·1 answer
  • 4/4 plus 4/4 please help
    13·2 answers
  • What is the measure of minor arc eg ? 17° 75° 149° 211°
    12·2 answers
  • Help? I may have asked this question already ​
    10·1 answer
  • Points A, B, and D are on both planes.
    5·1 answer
  • PLEASEEEEEEEEEEEEEE HELP
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!