Answer:
Answer:
Option B: 60%
Step-by-step explanation:
The number of blue candies with nuts = 20
The number of blue candies without nuts = 30
The total number of blue candies = 20 + 30 = 50
As the chosen candy is blue, the probability that is does not contain any nuts will be = (The number of blue candies without nuts)/(Total number of blue candies)
So, the probability = 30/50 = 0.6 *100% = 60%
Answer:
Step-by-step explanation:
We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)
Now, equation (1) is in the slope-intercept form and the slope of the line is 3.
Let, m is the slope of the required line.
So, 3m = -1
{Since, the product of the slopes of two perpendicular straight lines is -1}
⇒ 
Therefore, the equation of the required line in slope intercept form is
{Where c is a constant}
Now, this above equation passes through the point (-9,2) point.
So, 
⇒ 2 = 3 + c
⇒ c = - 1
Therefore, the equation of the required straight line is (Answer)
Answer:
37.5%
Step-by-step explanation:
you have 8 slices that should represent 100% so 100 divide 8 is 12.5
12.5 multiply by the three red sections you have then you get 37.5%
The missing values are 28° and 62°
<h3>What are perpendicular lines?</h3>
Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.
From the information given, we have that;
Line AC ⊥ Line BE
Where:
- m ∠ ADE = (x + 5)°
- m ∠ DBE = (3x - 7)°
Hence,
x + 5 + 3x - 7 = 90
collect like terms
4x = 90 + 2
4x = 92
Make 'x' the subject
x = 92/ 4
x = 23
For the missing values
m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°
m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°
Thus, the missing values are 28° and 62°
Learn more about perpendicular lines here:
brainly.com/question/17683061
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