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Burka [1]
3 years ago
6

Desmos Introduction to Geometry Proofs Proof #5 Challenge

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Answer:

For statement 2, reason is Segment addition postulate.

Statement 3 and reason is

BD=AC+CD using substitution property of equality.

Statement 4 and reason is

AC+CD=BD using symmetric property of equality

Statement 5 is

BD= BC+CD

Statement 6 and reason is

AC+CD=BC+CD using transitive property of equality

Reason for 7 is

Subtraction property of equality.

Step-by-step explanation:

For statement 2, we use segment addition postulate to say AC= AE+EC.

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Write the sum using summation notation, assuming the suggested pattern continues. 6, -18, 54, -162, +… Is this sequence arithmet
telo118 [61]

Answer:

Hello,

This sequence is geometric with a ratio of -3

the first term is 6

Step-by-step explanation:

u_1=6\\u_2=-18=6*(-3)=u_1*(-3)\\u_3=54=-18*(-3)=u_2*(-3)=u_1*(-3)^2\\u_4=-162=u_3*(-3)=u_1*(-3)^3\\\\...\\u_{n+1}=u_1*(-3)^n\\\\\displaystyle \sum\limits^\infty _{i=1}u_i = \lim_{n \to \infty} \sum\limits^n _{i=1}u_1*(-3)^{i-1}\\=6*\lim_{n \to \infty} \sum\limits^\infty _{i=1}(-3)^{i-1}\\=6*\frac{1-(-3)^n}{1-(-3)} \\=\dfrac{3}{2} *({1-(-3)^n)\\

serie does not converge.

7 0
3 years ago
The length of a rectangle is 6 ft longer than its width.
nasty-shy [4]

Answer:

135ft²

Step-by-step explanation:

Width = w

Length = w + 6

Perimeter = 48

Perimeter = 2(l + w)

Perimeter = 2(w + 6 + w) = 48

2(2w + 6) = 48

4w + 12 = 48

4w = 48 - 12

4w = 36

w = 36/4

width = 9

length = w + 6 = 9 + 6 = 15

Area = length × width

= 15 × 9

= 135 ft²

4 0
1 year ago
Read 2 more answers
Graph the following equation: y=2x+1
dybincka [34]

Answer:

There you go

Step-by-step explanation:

3 0
3 years ago
The school will not announce a snow day unless there is 10 inches of snow on the ground. If it had already snowed 1.5 inches how
Dennis_Churaev [7]
21 more inches. Hey, you're welcome.
7 0
3 years ago
Which pair of numbers has a GCF of 3. 3and 18, 12 and 18, 8 and 24, 1 and 3
Alinara [238K]
3 and 18 | 12&18 GCF = 6; 8&24 GCF = 4; 1&3 GCF = 3
4 0
3 years ago
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