MATHEMATICS HIGH SCHOOL

Classify the triangle by its sides and then by its angle

Answers

Answer 1

Answer:

Answer:

equilateral right triangle

Step-by-step explanation:

7^2+7^2=c^2

49+49=c^2

c^2=98

c=10

Therefore, equilateral right triangle

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How will adding the value 8 affect the mean and median of the data set 4, 6, 8, 10, 12? A.
The mean and median will increase by the same amount.

B.
The median will increase more than the mean.

C.
The median will stay the same, but the mean will increase.

D.
The mean and median will both stay the same.

Answers

Answer:

Option: D is the correct answer.

Both mean and median stay the same.

Step-by-step explanation:

We are given a data set as:

4, 6, 8, 10, 12

Clearly from the data set we could see that the median of the set is:

Median=8

( Since we know that the median of the set is the central tendency of a data and always exist in the middle of the data set)

Also, we have 5 data points hence, the mean is calculated as:

$Mean=(4+6+8+10+12)/(5)\n\n\nMean=(40)/(5)\n\nMean=8$

Hence, we have:

Mean=8

and Median=8

Now when we add another point 8 to the set we have the set in increasing order as:

4,6,8,8,10,12

Hence, now the median lies between 8 and 8.

Hence, we get Median=8

( Since, (8+8)/2=16/2=8)

Also, Mean is calculated as:

$Mean=(4+6+8+8+10+12)/(6)\n\nMean=(48)/(6)\n\nMean=8$

Hence, we have:

Mean=8

and Median=8

So, the statement that can be inferred form the addition of a new data point is:

The mean and median will both stay the same.

4, 6, 8, 10, 12

Mean without 8:

Mean is adding all the numbers and dividing by how many numbers there are.

4 + 6 + 8 + 10 + 12 = 40

40 / 5 = 8

So the mean is 8.

Mean with 8:

4, 6, 8, 8, 10, 12

4 + 6 + 8 + 8 + 10 + 12 = 48

48 / 6 = 8

So the mean is 8.

Median without 8:

4, 6, 8, 10, 12

Median is the middle number. In this case it's 8.

Median with 8:

4, 6, 8, 8, 10, 12

Median is the middle number, there are two 8's in the middle, so the median is 8.

Therefore the mean and the median both stay the same.

Given f(x) = x - 10. What is f(-7) ?

Answers

f(x) = x-10

f(-7) = -7 -10

f(-7)= -17

I understand now !

f(x)= x - 10

f(-7) = - 7 - 10

f(-7) = - 17

In the diagram, what is the measures of angle 1?A.) 45°

B.) 135°

C.) 15°

D.) 125°

Answers

Answer:

The correct option is A.

Step-by-step explanation:

Line A and B are parallel lines.

$\angle 1=3x$ ....(1) (Alternate exterior angles)

$\angle 1+9x=180$ (Supplementary angles)

$3x+9x=180$

$12x=180$

$x=15$

The value of x is 15.

Put this value in equation (1).

$\angle 1=3* 15=45$

Therefore measures of angle 1 is 45° and option A is correct.

Answer:

45 i just took the test.

Step-by-step explanation:

What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …

Answers

Answer: 147

Step-by-step explanation:

The given arithmetic sequence : 3, 9, 15, 21, 27, ….....................

From the above sequence, it can be seen that the first term $a= 3$

The common difference = $d=9-15=21-15=6$

We know that in arithmetic sequence, the nth term is given by :-

$a_n=a+d(n-1)$

Then for, n=25, the 25th term will be :-

$a_(25)=3+6(25-1)\n\n\Rightarrow\ a_(25)=147$

3, 9, 15, 21, 27,…
+6 +6 +6 +6

a(n) = a₁ + d(n - 1)
a(n) = 3 + 6(n - 1)
a(n) = 3 + 6(n) - 6(1)
a(n) = 3 + 6n - 6
a(n) = 6n + 3 - 6
a(n) = 6n - 3

a(n) = 6n - 3
a(25) = 6(25) - 3
a(25) = 150 - 3
a(25) = 147

C+(4-3c)-2=0
Need help

Answers

$c+(4-3c)-2=0\n \nc+ 4-3c -2=0\n \nc-3c=2-4\n \n-2c=-2 \ \ /:(-2)\n\nc=1$

PLEASE HELP!! You are playing a game in which you must flip a coin and then roll a die. What is the probability of flipping a tails and then rolling a five?

Answers

The chances of that are 1/12 which is 0.083%

Answer: 1/12

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Explanation:

1/2 is the probability of flipping tails because we have one side labeled tails out of 2 sides total.

1/6 is the probability of rolling a 5, because there's one side we want out of 6 total.

The two events (flipping the coin and rolling the die) are independent, allowing us to multiply those previously mentioned fractions:

(1/2)*(1/6) = (1*1)/(2*6) = 1/12

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