MATHEMATICS MIDDLE SCHOOL

What is the measure of angle x?

Answers

Answer 1

Answer:

Answer:

x = 47°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 for x

x = 180° - (31 + 102)° = 180° - 133° = 47°

Answer 2

Answer:

Step-by-step explanation:

180-(102+31) (asp)

=180-133

=47

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The n term of a geometric sequence is denoted by Tn and the sum of the first n terms is denoted by Sn.Given T6-T4=5/2 and S5-S3=5.Calculate (a)the common ratio. (b)the first term of this geometric sequence

Answers

1 step: $S_(5)=T_(1)+T_(2)+T_(3)+T_(4)+T_(5)$ , $S_(3)=T_(1)+T_(2)+T_(3)$ , then
$S_(5)-S_(3)=T_(4)+T_(5)=5$ .

2 step: $T_(n)=T_(1)*q^(n-1)$ , then
$T_(6)=T_(1)*q^(5)$
$T_(5)=T_(1)*q^(4)$
$T_(4)=T_(1)*q^(3)$
$T_(3)=T_(1)*q^(2)$
and $\left \{ {{T_(6)-T_(4)= (5)/(2) } \atop {T_(5)+T_(4)=5}} \right.$ will have form $\left \{ {{T_1*q^(5)-T_(1)*q^(3)= (5)/(2) } \atop {T_(1)*q^(4)+T_(1)*q^(3)=5} \right.$ .

3 step: Solve this system $\left \{ {{T_1*q^(3)*(q^(2)-1)= (5)/(2) } \atop {T_(1)*q^(3)*(q+1)=5} \right.$ and dividing first equation on second we obtain $(q^(2)-1)/(q+1)= ( (5)/(2) )/(5)$ . So, $((q-1)(q+1))/(q+1) = (1)/(2)$ and $q-1= (1)/(2)$ , $q= (3)/(2)$ - the common ratio.

4 step: Insert $q= (3)/(2)$ into equation $T_(1)*q^(3)*(q+1)=5$ and obtain $T_(1)* (27)/(8)*( (3)/(2)+1 ) =5$ , from where $T_(1)= (16)/(27)$ .

1. Lisa walked 48 blocks in 3 hours
_________blocks per hour

Answers

To solve this, we divide 48 by 3.
48÷3=16
16 blocks per hour.

16 blocks per hour is the answer i came up with

If a×b×c=0 and a and b are integers greater than 10,what must c equal

Answers

a*b*c=0

and a nd b are > 10 so

c must be 0

What is larger,10L or 1,000mL

Answers

$1\ L=1,000\ mL\ \ \ \Roghtarrow\ \ \ 10\ L\ >\ 1,000\ mL\n\nAns.\ 10\ L\ is\ larger$

Please help find the MAD

Answers

Answer: 0.5

Step-by-step explanation:

1. I calculate the mean= sum of the data/number of data=

(3+5+4+4 )/4=16/4=4

2. I calculate distance between the data and the mean

|3-4|=|-1|=1

|4-5|=|-1|=1

|4-4|=0

|4-4|=0

3. Add the distances

1+1+0+0=2

4. Divide the sum by the number of data points

2/4=0.5

answer: 0.5

3 + 5 + 4 + 4 = 16 ÷ 4 = 4

4 - 3 = 1

4 - 5 = 1

4 - 4 = 0

1 + 1 + 0 + 0 = 2 ÷ 4 = 0.5

What is the number of square units to cover the inside of a two dimensional shape

Answers

If its 2dimensional the number would be 2 because it has 2measurement hope i helped

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