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IgorC [24]
3 years ago
12

In the triangles, Line segment A C is-congruent-to line segment F E and Line segment B C is-congruent-to line segment D E. Trian

gles A B C and F D E are shown. The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Angle B C A is 72 degrees. Angle D E F is 65 degrees. Which statement correctly compares Line segment A B and Line segment F D? Line segment A B and Line segment F D are the same length. Line segment A B is longer than Line segment F D. Line segment A B is shorter than Line segment F D. Line segment A B is shorter than or the same length as Line segment F D.

Mathematics
1 answer:
choli [55]3 years ago
4 0

Answer:

Line segment A B is longer than Line segment F D. This is the correct statement from the given statements.

Step-by-step explanation:

Given:

In ΔABC and ΔFDE

Segment AC≅Segment FE

Segment BC≅Segment DE

∠BCA = 72° and ∠DEF = 65°

Now by the property of a Triangle we know that

Side opposite to the greater angle is longer than the side opposite to the smaller angle.

So, Side opposite to the greater angle (∠BCA = 72°) is AB and

The side opposite to the smaller angle (∠DEF = 65°) is FD.

Therefore, side AB is Longer than side FD.  

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Find Z.............​
Arada [10]

Answer:

x = 40 degrees

Step-by-step explanation:

We are given that AB and CD are parallel to each other and they are cut by a transversal.

The angle 40 is complementary to angle z, so this means that they have the same measure by the complementary angles theorem.

Complementary are angles that occupy the same space on one parallel line compared to the other parallel line.

Angle z = 40 degrees

5 0
3 years ago
Please help me with this question.
Rasek [7]
The answer is 4,000 ft squared because since the sides are 100 ft and 80ft then we need to multiply them which is 8,000 then divide that by 2 since it’s a triangle which is 4,000 ft squared.
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Agent Bourne transferred classified files from the CIA mainframe into his flash drive. The drive had 36.5, point, 5 megabytes on
Murrr4er [49]
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3 years ago
mike, dave and john worked for a total of 56 hours. Dave worked 6 more than 4 times as many hours as mike. John worked 6 less th
Daniel [21]

Answer:

1. Dave worked for 34 hours.

2. Perimeter of the rectangle is 172 cm.

Step-by-step explanation:

1. Determination of the hours Dave worked.

Let D represent Dave.

Let M represent Mike.

Let J represent John.

Tota time worked by Dave, Mike and John is 56 hours. This can be written as:

D + M + J = 56 ..... (1)

Dave worked 6 more than 4 times as many hours as Mike. This can written as:

D = 6 + 4M .....(2)

John worked 6 less than 3 times as many hours as Mike. This can be written as:

J = 3M – 6 ........ (3)

Substituting the value of F and J into equation 1, we have:

D + M + J = 56

D = 6 + 4M

J = 3M – 6

6 + 4M + M + 3M – 6 = 56

6 – 6 + 4M + M + 3M = 56

8M = 56

Divide both side by 8

M = 56/8

M = 7

Substitute the value of M into equation (2) to obtain the value of D.

D = 6 + 4M

M = 7

D = 6 + 4(7)

D = 6 + 28

D = 34

Therefore, Dave worked for 34 hours .

2. Determination of the perimeter.

Length (L) = 64 cm

Width (W) = 22 cm

Perimeter (P) =?

P = 2(L + W)

P = 2 (64 + 22)

P = 2 (86)

P = 172 cm

Therefore, the perimeter of the rectangle is 172 cm

6 0
3 years ago
PLEASEE HELP!! <3 100 POINTSS
iris [78.8K]

To tell isf a table is proportional, divide y by x,

if all sets are the same it is proportional.

First table:

3 / -3 = -1

2 / -4 = -2


-1 and -2 are not the same


Table 2:

1/-1 = -1

3/-3 = -1

5/-5 = -1


These are all the same.


Table 2 is correct.

6 0
3 years ago
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