The sum of interior angles of any polygon is:
s=180(n-2)
Since we are dealing with a triangle:
s=180(3-2)
s=180°
That is, the sum of angles of any triangle is 180°.
In this case we are given two angles with measures of 32° and 102° so
a+b+c=180
32+b+102=180 combine like terms on left
b+134=180 subtract 134 from both sides
b=46°
In this question the answer is x is equal to exactly 1.749... Or 1.75
Answer: 0.88
Step-by-step explanation:
Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.
Thus, when we make the Venn diagram of the given situation according to the given information,
Total number of people = 50
Number of people who like coffee, tea and milk = 19
Number of people who like coffee, tea but not milk = 16
Number of people who like coffee, milk but not tea = 2
Number of people who like tea, milk but not coffee = 5
Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)
= 50 - ( 16 + 19 + 5) = 50 - 46 = 4
Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44
⇒ Probability that this person likes tea =
=
Answer:
The equation to find the profit made by business combined is
.
Business A made $2 million profit and Business B made $8 million profit.
Step-by-step explanation:
Given:
Profit made in previous financial year = $10 million
We need to write an equation to find the profit made by the business.
Solution:
Let the profit (in millions) made by business A be 'x'.
Let the profit (in millions) made by business B be 'y'.
Now given:
business B making 4 times as much profit as business A.
so we can say that;

Now we know that;
Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.
framing in equation form we get;

Substituting the value of y in above equation we get;

Hence The equation to find the profit made by business combined is
.
On Solving above equation we get;

profit (in millions) made by business A = 
profit (in millions) made by business B = 
Hence Business A made $2 million profit and Business B made $8 million profit.
Answer:
66%(technically 0.66 repeating)
Step-by-step explanation:
We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage <u>times</u> 69 equals 46:

Now that we formed this equation, we can solve for the percentage as if it was x.
First lets simplfy:

Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:

=

Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):

=
percentage = 66%
Hope this helps! :3