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1 year 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]1 year 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]1 year 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.

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You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr

Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000

The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8

the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer

Hope it helps

8 0

2 years ago

Read 2 more answers

ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.

GalinKa [24]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of $\frac{1}{2}$ to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = $\frac{1}{2}$ of the sides of ΔABC

Area of ΔA'B'C' = $\frac{1}{2}(\text{Area of triangle ABC})$

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

3 0

1 year ago

Which graph represents the function f (x) = StartFraction 1 Over x + 3 EndFraction minus 2? On a coordinate plane, a hyperbola i

Ede4ka [16]

Answer:

its A

Step-by-step explanation:

i just did it swag

5 0

2 years ago

Read 2 more answers

Harold measures the heights in inches of the new plants that are growing in his greenhouse. He records the lengths shown below a

viva [34]

Answer:

The least value plotted on the line plot is 18.0

The greatest value plotted on the line plot is 22.0

The height of inches occurs the most often is 19.5 with 3 times

Step-by-step explanation:

A line plot is a graph that shows frequency (the number of times the data value occur) of data along a number line.

The line plot has dots plotted on it over each value of the number line.

8 0

1 year ago

If 36a=45/b, then ab=

Ronch [10]

Answer:

$1.25$

Step-by-step explanation:

$let \: a = x \: and \: b = y$

$36x = \frac{45}{y}$

$36xy = 45$

$xy = \frac{45}{36}$

$xy = 1.25$

$therefore \: ab \: is \: 1.25$

4 0

2 years ago