All categories

3 years ago

Given C is the midpoint of BD.

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:definition of midpoint, angle BCA is congruent to angle DCA

You might be interested in

If a translation maps ∠I onto ∠K, which of the following statements is true?

jonny [76]

The statement which is true is ΔGHI ~ ΔGJK.

<h3>What is Translation?</h3>

This is commonly used in geometry to describe a function which moves object at distances.

This therefore means that translation of ∠I onto ∠K means shifting of point I to point K.

The triangles given are HGI and JGK.

Translation in this scenario therefore means that the triangles are similar only if other angles are mapped to their corresponding angles.

It confirms that ΔGHI ~ ΔGJK thereby making it the most appropriate choice.

Read more about Translation here brainly.com/question/16253702

#SPJ1

3 0

1 year ago

What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...

DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0

2 years ago

The sum of five consecutive integers is 55. Find the integers.

liubo4ka [24]

Answer:

9, 10, 11, 12, 13

Step-by-step explanation:

(x-2)+(x-1)+x+(x+1)+(x+2) = 55

5x = 55

x = 11

8 0

3 years ago

Factor out the combine term 21x+49y

Cloud [144]

(not sure if this is right just trying to help) 7(3x+7y)

7 0

3 years ago

Plz help me with this!!!!

julia-pushkina [17]

Answer:

by the distance formula

the points are (2,2) and (-2,7)

and subtituting d=sqrt((2-(-2))^2+(2-7)^2)

which is equal to sqrt of 41

and it is equal to 6.40

3 0

2 years ago