What’s the correct answer for this?

In the diagram of PARALLELOGRAM ABCD, segment BE is perpendicular to segment CED, segment DF is perpendicular to BFC and segment

tiny-mole [99]

Answer:

In parallelogram ABCD

FD is perpendicular to BC

BE is perpendicular to CD

Consider triangle BEC and triangle DFC

FC = EC (Given)

Angle BEC = Angle DFC (=90°)

Angle BCE = Angle DCF (common)

Therefore triangle BEC is congruent to triangle DFC (AAS congruency)

DF = BE (CPCT)

Since the altitudes are equal their bases will also be equal

Therefore BC = DC

Therefore BC = DC = AD = AB

Therefore ABCD is a rhombus

Hope this helps!

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3 0

2 years ago

What is the measure of the unknown angle?

worty [1.4K]

The measure of the unknown angle in the full circle is calculated as: 310 degrees.

<h3>What is the Measure of a Full Circle?</h3>

The angle measure of a full circle equals 360 degrees.

The full circle given is divided into two angles, of which 50 degrees is a measure of one of the angles.

The unknown angle = 360 - 50 = 310 degrees.

Learn more about a full circle on:

brainly.com/question/16724928

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7 0

1 year ago

Bill rented a truck for one day.There was a base fee of $15.95,and there was a additional charge of 92 cents for each mile drive

denpristay [2]

Answer:

271 miles

Step-by-step explanation:

15.95+0.92 x=265.27

0.92 x=265.27-15.95

.92 x=249.32

x=24932/92=271

6 0

2 years ago

GIVING BRAINLEST Which table represents the statement “A car is traveling at a rate of 60 miles per hour”? A 2-column table with

-BARSIC- [3]

Answer:

im not shere but i think its D on ege

Step-by-step explanation:

4 0

2 years ago

Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B c

Elden [556K]

The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.

For the first equation

8n = 20 + 6n

Collect like terms

8n - 6n = 20

2n = 20

Then, n = 20 ÷ 2

n = 10 GB

For Plan A

No initial fee and $8 for each GB

Here, 10GB will cost 10 × $8 = $80

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 10GB will cost $20 + (8 × $6) = $20 + $48 = $68

∴ Plans A and B do not cost the same here.

For the second equation

8n = 20(2n) + 6

First, clear the bracket

8n = 40n + 6

Now, collect like terms

40n - 8n = 6

42n = 6

∴ n = 6 ÷ 42

n = 1/7 GB

For Plan A

No initial fee and $8 for each GB

Here, 1/7GB will cost 1/7 × $8 = $1.14

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 1/7GB will cost $20 (Since the lowest cost is $20)

∴ Plans A and B do not cost the same here.

For the third equation

8n = 20 + 6(n-2)

First, clear the brackets

8n = 20 + 6n - 12

Now, collect like terms

8n - 6n = 20 - 12

2n = 8

n = 8 ÷ 2

n = 4 GB

For Plan A

No initial fee and $8 for each GB

Here, 4GB will cost 4× $8 = $32

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 4GB will cost $20 + (2 × $6) = $20 + $12 = $32

Plans A and B do not cost the same here.

∴ Plans A and B do cost the same here

For the fourth equation

8n = 20 + 2n + 6

Collect like terms

8n - 2n = 20 + 6

6n = 26

n = $\frac{26}{6}$

n = $\frac{13}{3}$ GB or $4\frac{1}{3}$ GB

For Plan A

No initial fee and $8 for each GB

Here, $\frac{13}{3}$ GB will cost $\frac{13}{3}$ × $8 = $34.67

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, $4\frac{1}{3}$ GB will cost $20 + ( $2\frac{1}{3}$ × $6) = $20 + $14 = $34

∴ Plans A and B do not cost the same here.

Hence, the equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

Learn more here: brainly.com/question/9371507

6 0

1 year ago