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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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Alik [6]

Answer:

2cm of Rainfall

Step-by-step explanation:

When the no. of mosquitoes is the highest the slope of graph will be zero

so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.

m(x)= -x²+4x

differentiate

d(x)/d(m(x))= -2x+4

equate to zero

-2x+4=0

2x=4

x=2

answer: 2 cm of rain

6 0
3 years ago
What is the third quartile (Q3) of the data set? 171, 91, 111, 111, 158, 150, 146, 166, 86
Alinara [238K]
The answer to that question is 158
4 0
3 years ago
Read 2 more answers
A. The actual building height will be 596 ft tall. You want your model to be 3 ft tall. What will the scale factor be? For this
astra-53 [7]

Answer: the answer is c

Step-by-step explanation:

If not i'm sorry have a good day/night

5 0
2 years ago
In two or more complete sentences, explain why the following sequence is an example of a finite series.
NARA [144]

Answer:

It is finite because it has an ending. Infinite has no ending and will keep going forever while this statement has an ending.

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Angle 0 lies in the second quadrant, and sin 0=3/5 <br> Cos 0=
borishaifa [10]

Answer:

-4/5

Step-by-step explanation:

Please use a symbol such as x or Ф to represent an angle; your 0 is too easily confused with zero.

If Angle Ф lies in the second quadrant, and sin Ф=3/5, find cos Ф.

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse:  sin Ф = opp / hyp = 3 / 5.  Thus the opp side has length 3 and the hyp has length 5.  By the Pythagorean Theorem,

the adj side has length √(5² - 3²), or √(25-9), or √16, or ±4.  Because the angle is in the 2nd quadrant, choose adj = -4.

Then the cosine of this angle is  cos Ф = adj / hyp = -4 / 5  

5 0
3 years ago
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