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3 years ago

What’s the size of angle x

Mathematics

1 answer:

ki77a [65]3 years ago

7 0

Answer:

65 degrees.

Step-by-step explanation:

It's hard to explain, but I'll try:

The outside of the first two angles is 105 and 140. Half a whole angle is 180. So, you do

180-140=40. The inside is 40.

And then 180-105=75.

Then you add the two and subtract them from 180:

40+75= 115

180-115=65

Voila!

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Q7. Average of 60 numbers are 55. When 10 more numbers are included, the average of

Nikitich [7]

Answer:

The average of the 10 numbers is 195

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers dividing by their number

Average = The sum ÷ The number

∵ The average of 60 numbers is 55

∴ The average = 55

∴ The number = 60

→ Substitute them in the rule above to find the sum of the numbers

∵ 55 = The sum ÷ 60

→ Multiply each side by 60

∴ 3300 = The sum

∴ The sum of the 60 numbers = 3300

∵ 10 more numbers are included

∵ The average of 70 numbers become 75

∴ The average = 75

∴ The number = 70

→ Substitute them in the rule above to find the sum of the numbers

∵ 75 = The sum ÷ 70

→ Multiply each side by 70

∴ 5250 = The sum

∴ The sum of the 70 numbers = 5250

∵ The sum of the 10 numbers that added is the difference between

the sums of the 60 and 70 numbers

∵ The difference between the sums = 5250 - 3300

∴ The difference between the sums = 1950

→ To find the average of them divide their sum by 10

∵ The average of the 10 numbers = 1950 ÷ 10

∴ The average of the 10 numbers = 195

5 0

3 years ago

The volume (in cubic meters), v, of a rectangular room is given by the expression:

yan [13]

Answer:

7(b^2 -2)(b^2 +2)

Step-by-step explanation:

Factoring the common factor 7 from both terms, you get the difference of squares. That can also be factored.

v = 7(b^4 -4) = 7(b^2 -2)(b^2 +2)

The difference b^2-2 will have irrational factors, so does not meet the problem requirements. This is the factorization over integers.

8 0

3 years ago

Bernie drove from his house to his cousin's house in 6 hours at an average rate of 52 miles per hour he drove home at an average

Maksim231197 [3]

Answer:

7.5

Step-by-step explanation:

You have to divide the miles by the hours drived and then divide 60 per the miles per hour

7 0

3 years ago

Read 2 more answers

If my saving x$ grows 10% every year how much will I have in:<br> 1 year<br> 2 year<br> 5 year

mote1985 [20]

Answer:

$1.1x, 1.21x, 1.61051x$

Step-by-step explanation:

If you saving grows $10 \%$ every year, then your saving is $1.1\\$ times your saving from last year. Therefore, after one year, you will have $1.1x\\$ , then after $2$ years, you will have $(1.1)^2 \cdot x=1.21x$ , then after $5$ years, you will have $(1.1)^5 \cdot x = 1.61051x$ .