Ask question

Ask question

All categories

3 years ago

13

Can someone give me the answers asap! 15 points

1 answer:

Eduardwww [97]3 years ago

3 0

In the first question,
Since D is the midpoint of line segment AC.
therefore, AD=DC.

In triangles, ABD & CBD.
Since, AB is congruent to CB and BD is a common side between those two triangles.
Therefore, AD is congruent to DC.

Finally, in triangles DEA & DEC
Since, ED line segment is a common side between those triangles and the measure of angle EDA is as the same of angle EDC which are equal to 90 degrees and AD is congruent to DC.
Therefore, triangle EDA is congruent to triangle EDC ( you have to take care of the triangle order letters in congruence) and EC is congruent to EA.

You might be interested in

A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The

Alenkasestr [34]

Answer:

x+5

Step-by-step explanation:

5 0

3 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

3 years ago

In the sentence below, interval can BEST be defined as which of the following? Sales taxes are collected by the retailer and sen

Ymorist [56]

The answer would be D. an interval isnt a certain number but it is a time something happens over and over again

5 0

3 years ago

Read 2 more answers

I need your help to find the value of x.round to the nearest hundred just the photo

True [87]

Answer:

Step-by-step explanation:

1. Cos 52° = adj/hyp

Cos 52° = x/13

x = 13×cos 52°

x = 8.00

2. Sin70° = opp/hyp

Sin70° = 30/x

x sin70° = 30

x = 30/sin70°

x = 31.93

x ≈ 32

3. Tan∅ = opp/adj

Tan∅ = 45/51

Tan∅ = 0.8824

∅ = tan-¹(0.8824)

∅ = 41.42°

∅ ≈ 41°

3 0

3 years ago

Can anyone really post anything other than math?

sammy [17]

Answer:

well yes, but no

Step-by-step explanation:

we can post other things than math but we shouldn't post it in the math forum

4 0

3 years ago

Read 2 more answers