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3 years ago

What is the value of x?

Mathematics

2 answers:

nalin [4]3 years ago

7 0

we know that

An exterior angle is equal to the sum of the two non adjacent angles

In this problem

$100\°=x\°+70\°$

Solve for x

Subtract $70\°$ both sides

$x\°+70\°-70\°=100\°-70\°$

$x\°=30\°$

therefore

the answer is the option D

$30\°$

liq [111]3 years ago

6 0

An exterior angle is equal to the sum of the 2 non adjacent angles. In this case

100 = x + 70 Subtract 70
x = 100 - 70
x = 30

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Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.

Hunter-Best [27]

Given:

Amount = Rs. 9,144

Time = 3 years.

Rate of simple interest = 9%

To find:

The principal value.

Solution:

The formula for simple interest is:

$I=\dfrac{P\times r\times t}{100}$

Where, P is principal, r is the simple rate of interest, and t is the number of years.

Putting $r=9,t=3$ in the above formula, we get

$I=\dfrac{P\times 9\times 3}{100}$

$I=\dfrac{27P}{100}$

$I=0.27P$

We know that,

$\text{Amount}=\text{Principal + Interest}$

$9144=P+0.27P$

$9144=1.27P$

Divide both sides by 1.27, we get

$\dfrac{9144}{1.27}=P$

$7200=P$

Therefore, the principal value is Rs. 7200.

8 0

3 years ago

In a sale there is 25% off all prices a bed costs £33 how much was it before the sale ?

Troyanec [42]

25% OFF is 100%-25%=75%
75% is 0.75 in decimal form
if x is the original price then
0.75x=33
x=33/0.75= £44

8 0

3 years ago

tessa is on the track team. for practise and exersise, she runs 2.25 miles each day. at the end of 14 days, how many total miles

astra-53 [7]

31.5 miles

If she runs 2.25 miles/day and she runs 14 days, you multiply 14*2.25

5 0

3 years ago

A rectangular prism has a volume of

Fofino [41]

Answer:

eu nao sei, mas preciso de pontos kkdescukpe okay

6 0

2 years ago

Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high m

morpeh [17]

The question is incomplete. Here is the complete question.

Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were shown in the figure below.

The average (mean) aptitude score:

The median aptitude score:

Answer: mean: 2.73

median: 3

Step-by-step explanation: Mean is the average number of a set of numbers.

The table below shows a frequency of students to each score of the test. To calculate mean with a frequency table, do the following:

$mean=\frac{\Sigma (score*frequency)}{\Sigma frequency}$

$mean=\frac{0*1+1*5+2*0+3*3+4*3+5*3}{1+5+0+3+3+3}$

mean = 2.73

Median is the middle term of a set of data.

When there is a frequency table, median is calculated as:

1) First, determine the total number of observations (n).

For this table, n = 15

2) Because n is odd, find the position of the median using:

$position=\frac{n+1}{2}$

position = 8th

3) The median will be in the 8th position. To find the position, we add the frequencies and in doing so, we notice the position we want is in the score 3 category. So, the median for this frequency table is 3.

Average score of a musical aptitude test is 2.73 and median is 3

8 0

2 years ago