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soldi70 [24.7K]
3 years ago
8

If ∠CEF is complementary to ∠DCF, then ∠DCF ≅ ∠FEG.

Mathematics
2 answers:
adoni [48]3 years ago
5 0

Answer:

the answer is A

Step-by-step explanation:

scZoUnD [109]3 years ago
4 0

Answer:

Correct answer is <em>A) Complements of the same angle are congruent.</em>

Step-by-step explanation:

According to Congruent Complement Theorem,

<em><u>" If 2 angles are complementary to the same angle, then they are congruent to each other".</u></em>

Here, ∠CEF is complementary to ∠DCF, hence ∠DCF ≅ ∠FEG.

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AB = x + 8
vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

3 0
3 years ago
Which best describes the transformation that occurs from the graph of f(x)=x^2 to g(x)=(x-2)^2+3?? ​
Leokris [45]

answer right 2, up 3

any function with the following form is a transformation from f(x) = x²

g(x) = (x – a)² + b

were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.

then for a=2 positive and b=3 positive, we have

right 2, up 3

3 0
3 years ago
If you had 3.5 gallons of gas, how far could you travel?
Nostrana [21]

Answer:

It would depend on how many miles per gallon your car gets

Step-by-step explanation:

As a general rule, most cars have about 2.5 gallons left in the tank when the gas light comes on. So depending on how many miles you get per gallon, you can probably go anywhere between 30-60 miles.

5 0
3 years ago
how to write a whole number as a fraction with the denominator of 1. help my sister she is in 3 grade and she help and our mom s
anygoal [31]

Answer:

all yo udo is put the big number on top of a 1

Step-by-step explanation:

8 0
3 years ago
What is the 13th term of the geometric sequence<br> 4, 12, 36, 108, ...?
bogdanovich [222]

Answer: 2,125,764

Step-by-step explanation:

You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term

The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:

y=4*3^(n-1)

Substitute 13 for n:

y=4*3^(13-1)

y=4*3^12

y=2125764

Therefore, the 13th term of this geometric sequence is 2,125,764

7 0
2 years ago
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