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
Pachacha [2.7K]
2 years ago
7

Triangle ABC and triangle DEG are similar right triangles. Which proportion can be used to show that the slope of AC is equal to

the slope of DG?
A)
4 − (−7)
0 − 4
=
−1 − 10
4 − 8
B)
−4 − (−7)
0 − 4
=
4 − 8
−1 − (−10)
C)
0 − 4
−4 − (−7)
=
−1 − (−10)
−4 − 8
D)
0 − 4
−4 − (−7)
=
−4 − 8
−1 − (−10)

Mathematics
2 answers:
yKpoI14uk [10]2 years ago
8 0

Answer:

Option D is correct.

Step-by-step explanation:

By looking at the graph attached, first look up the coordinates of the points A, C, D and G in order to find their required slopes.

Now, finding the coordinates of the points from the graph :

Coordinates of A = (-7,4)

Coordinates of C = (-4,10)

Coordinates of D = (-10,8)

Coordinates of G = (-1,-4)

Now, slope (m) between two points is given by :

m=\frac{y_2-y_1}{x_2-x_1}

\text{Slope of AC, }m_1=\frac{0-4}{-4-(-7)}\\\\\text{And, Slope of DG, }m_2=\frac{-4-8}{-1-(-10)}\\\\\text{Now, putting }m_1=m_2\\\\ \implies \frac{0-4}{-4-(-7)}=\frac{-4-8}{-1-(-10)}

Hence, Option D is correct.

e-lub [12.9K]2 years ago
8 0

Answer:

Option D is correct.

Slope of AC = Slope of DG

\frac{0-4}{-4-(-7)}=\frac{-4-8}{-1-(-10)}

Step-by-step explanation:

Similar triangle states that if two triangles are similar then, their corresponding sides are in proportion.

As per the statement:

Triangle ABC and triangle DEG are similar right triangles.

By definition:

Corresponding sides are in proportion then;

\frac{AB}{DE}=\frac{BC}{EG}=\frac{AC}{DG}

From the graph:

The coordinate of A and C are:

A (-7, 4) and C(-4, 0)

Formula for slope is given by:

\text{Slope} =\frac{y_2-y_1}{x_2-x_1}

then;

\text{Slope of AC} =\frac{0-4}{-4-(-7)}

The coordinates of D and G are:

D(-10, 8) and G(-1, -4)

then;

\text{Slope of DG} =\frac{-4-8}{-1-(-10)}

Slope of AC = Slope of DG

\frac{0-4}{-4-(-7)}=\frac{-4-8}{-1-(-10)}


You might be interested in
The graph of the function f(x) =x^2 is shown on the grid below. Graph the function g(x) =(x-2)^2 -4 in the interactive graph.
Anastasy [175]

Answer:

shift it down by 4 units

Step-by-step explanation:

by the placement of the -4 it can be determined that you would shift it according to the y axis

The formula a(x-h)^2 + k = y

h represents change in x, k represents change in y

-k means shift down

5 0
3 years ago
A total of 937 people attended the play.
insens350 [35]

Answer:

1.75

c

+

2.25

a

=

1083.00

now we still know, that

a

=

508

−

c

so we can substitute it into the second formula

1.75

c

+

2.25

(

508

−

c

)

=

1083

now its just simple algebra

1.75

c

+

1143

−

2.25

c

=

1083

60

=

0.5

c

so:

c

=

120

Step-by-step explanation:

6 0
3 years ago
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
olga2289 [7]

Answer:can’t read it

Step-by-step explanation:

Can you take a pic closer to the screen?

7 0
3 years ago
PLEASE HELP ASAP - ILL GIVE BRAINIEST
Mars2501 [29]

10. x*x + 10x + 21 = x + 3 * length

11. x*x + 2x - 8 = x + 4 * breadth

This is the expression bro!

100% sure

Plz mark me brainliest

7 0
2 years ago
Read 2 more answers
2 2/5 x 3/4 <br> plz help me! and plz show your work.
Aneli [31]

Answer:1.8

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • What equation has the same solution as x^2-6x-14=0 ?
    10·1 answer
  • Solving systems by substitution: <br><br> Y=4x-17 <br> 4x+6y=10
    15·2 answers
  • A cylinder has a base diameter of 20 meters and a height of 10 meters. What is it’s volume in cubic meters, to the nearest tenth
    13·1 answer
  • Will the measurements represent the side lengths of a right triangle?
    7·1 answer
  • A sequence starts:
    9·1 answer
  • 30.00 for a dozen regular cupcake
    10·1 answer
  • Suppose a researcher is studying a population that has a mean of μ=38.6 and a standard deviation of σ=1.1. The researcher studie
    9·1 answer
  • ∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
    7·1 answer
  • Amswer in its lowest terms<br> 5 3/5 + 2 1/10
    5·2 answers
  • in a game show, players multiple rounds to score points. Each round has 3 times as many points available as the previous round.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!