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maw [93]
4 years ago
12

Find the 25th term of the arithmetic sequence when a1 = -14 and d = -5

Mathematics
2 answers:
aniked [119]4 years ago
7 0

Answer:easy

Step-by-step explanation:

25 terms=a+24d

=-14+24×(-5)

=-14-120

=-134

Lyrx [107]4 years ago
6 0

Answer:

-106

Step-by-step explanation:

the arithmetic equation is

an=a1+(n-1)d

a(25th)=14+(25-1)(-5)

14+(24)(-5)

14+(-120)

14-120

a25=-106

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Angle DEF and angle FEG are supplementary. The measure of angle DEF = (9x +1) and the measure of angle FEG = (8x + 9). What is t
RUDIKE [14]
Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so 
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
3 0
3 years ago
rectangle ABCD is graphed in the cordinate plane. The following are the verticies of the rectangle; A(-6,-4),B(-4,-4),C(-4,-2),
Sholpan [36]

Answer:

Therefore Perimeter of Rectangle ABCD is 4 units

Step-by-step explanation:

Given:

ABCD is a Rectangle.

A(-6,-4),

B(-4,-4),

C(-4,-2), and

D (-6,-2).

To Find :

Perimeter of Rectangle = ?

Solution:

Perimeter of Rectangle is given as

\textrm{Perimeter of Rectangle}=2(Length+Width)

Length = AB

Width = BC

Now By Distance Formula  we have'

l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}

Substituting the values we get

l(AB) = \sqrt{((-4-(-6))^{2}+(-4-(-4))^{2} )}

l(AB) = \sqrt{((2)^{2}+(0)^{2} )}=2\ unit

Similarly

l(BC) = \sqrt{((-4-(-4))^{2}+(-2-(-4))^{2} )}

l(BC) = \sqrt{((0)^{2}+(2)^{2} )}=2\ unit

Therefore now

Length = AB = 2 unit

Width = BC = 2 unit

Substituting the values  in Perimeter we get

\textrm{Perimeter of Rectangle}=2(2+2)=2(4)=8\ unit

Therefore Perimeter of Rectangle ABCD is 4 units

8 0
3 years ago
To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?
FinnZ [79.3K]

Answer:

DE ≅ DG

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
HELP ME PLEASE!!!!!!​
AlexFokin [52]

Answer:

There ya go

Step-by-step explanation:

4 0
3 years ago
Help w number 8, will mark brainliest !!!
eimsori [14]

Answer:

d

Step-by-step explanation:

because both the measurement and the congruent side are opposite in sentence

3 0
3 years ago
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