The sum of the angles of a quadrilateral is 360 degrees. So P+Q+R is 206, 360 - 206 = 154 degrees, the measure of angle S.
The four triangles, AQB, BRC, CSD, and DPA are all isosceles. So angle QBA = angle BAQ, etc. We find QBA = (180-24)/2 or 78 degrees.
RBC = (180-114)/2 = 33 degrees.
180 - (78 + 33) is the measure of angle B: 69 degrees.
The student should be able to see how to calculate the missing information from this.
First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
Given:
Height of statue or liberty from the ground = 305 feet
Model is 
the actual size of the statue of liberty.
To find:
The height of the model of statue.
Solution:
According to the question,
Model = of the actual size
Therefore, the height of the model of statue is 3.05 feet.
When a line is given in the form
The slope of the line is m. So, in this case, the slope of 
is 1.
Given a slope 
, you find the slope of a perpendicular line 
by imposing
So, if the given line has slope 1, a perpendicular line has slope given by
and thus 
So, we want a line with slope -1 and passing through (12,-1). Using the fomula
we get
