Answer:
x = 21 degrees
y = 66 degrees
Step-by-step explanation:
Supplementary angles sum 180 degrees and complementary angles sum 90 degrees.
The first two upper angles are supplementary since they complete half a turn of a circle.
The relation is
(3x+5)+(6x-14)=180.
Joining like terms
9x-9=180
Dividing by 9
x - 1= 20 =>
x = 21 degrees
The first and the last angle are the same because they are formed by two parallel lines to a common side, so
3x-5=y-8 or
y=3x+3 = 63+3 =>
y = 66 degrees
Answer:
a box plot
Step-by-step explanation:
Given the number of employees at her company is 685
If she chooses to create a dot plot, it means that she need to draw a lot, the total number of dots is 685 and even a wide domain of the number of data values on the x-axis.
If she chooses the box lot, which means that she wants to displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.
=> So it is the best fit for her choice.
If she chooses histogram, it means that she wants to group numbers into ranges to identify the underlying frequency distribution (shape) of a set of continuous data
Hope it will find you well
Answer:
3 adults 2 children
Step-by-step explanation:
(3 x 10) + (2 x 6)
30+12=42
Answer:
p = - 5, p = - 1
Step-by-step explanation:
Given
- 
= 
Multiply through by the LCM of (p - 5)(p + 3)
3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis
3p² + 9p - 2p + 10 = p² - 5p
3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )
2p² + 12p + 10 = 0 ← divide through by 2
p² + 6p + 5 = 0 ← in standard form
(p + 1)(p + 5) = 0 ← in factored form
Equate each factor to zero and solve for p
p + 1 = 0 ⇒ p = - 1
p + 5 = 0 ⇒ p = - 5
