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3 years ago

Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

8 0

Triangle AEF and triangle DFK are similar to each other, this implies that the ratio of the corresponding sides are equal. Hence:
Using the proportions and ratio we have
the correct statement is:
b

Galina-37 [17]3 years ago

5 0

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, $\triangle EFA$ and $\triangle KFD$ are similar triangles.

Because, $\angle FAE= \angle FDK$ and $\angle FEA= \angle FKD$ (because EA and KD are parallels. And, $\angle F$ is common angle for these triangles.

Therefore, according to the property of similar triangles.

FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .

Thus, first, second and third options are correct.

You might be interested in

Is 1 5/6 a rational number or a iraarational

gizmo_the_mogwai [7]

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

4 0

3 years ago

The table and graph both represent

valina [46]

I'm not sure what your table and graph look like but they might both represent the relationship between numbers, like the common difference (+5 ect) They could also both represent positive growth or negative growth depending on how the graph and table look.

Hope this helps!

8 0

3 years ago

A line has a slope of -6 over 7. What is the slope of the line parallel to it? And what is the slope of the line perpendicular t

olga_2 [115]

The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6

3 0

3 years ago

The circumference of the inner circle is 66 ft. The distance between the inner circle and the outer circle is 44 ft. By how many

Ray Of Light [21]

Answer:

276 4/7 ft

Step-by-step explanation:

Let r1 represent the radius of the inner circle. Then its circumference in feet is ...

C = 2πr

66 = 2π(r1)

If the radius of the outer circle is (r1 +44), then its circumference is ...

C = 2π(r1 +44) = 2π(r1) +2π(44)

C = 66 +88π

Then the difference in the circumferences is ...

(66 +88π) - (66) = 88π

Using the given value of π, the difference in circumferences is ...

(88 ft)(22/7) = 1936/7 ft = 276 4/7 ft

6 0

3 years ago

What are the Rates of Change and the initial values to these? If you don't have the answer I'll take an explanation on how to do

gogolik [260]

Step-by-step explanation:

So, a coordinate plane is made out of two axis, the x and the y. Through these, we have grid squares on the plane showing points. So, each square would be one point. To find the <u>rate of change, or slope,</u> you would have to use the formula:

y(#2) - y(#1)

------------------ = Divided by

x(#2) - y(#1)

This formula will calculate the rate of change. I will do the first one for you as follows.

The first point I would find would be (1,3). 1 space on the X-axis, 3 on the Y-axis.

To write a ordered pair to represent the point on the plane, use the (X,Y).

Then, I'd find the second point.

Following the second point, I would do the equation like so.

y(2) - 3

-----------------

x(2) - 1

See, I used the first points given as the last X and Y variables in the formula.

Hope this helps you out!

4 0

3 years ago