Answer:
65
Step-by-step explanation:
They are vertical angles; so angles are congruent
*<em>Vertical angles are always congruent*</em>
<em>Congruent means equal or same.</em>
1) Since they are congruent, you form an equation.
<h2>
145 = 2x + 15</h2>
2) Solve by subtracting 15 from both sides.
<h2>
145 = 2x + 15</h2><h2>
- 15 -15</h2><h2>
----------------------</h2><h2>
130 = 2x</h2>
3) Solve by dividing 2 from both sides
<h2>
130/2 = 2x/2</h2>
4) Simplify
x = 65
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
krok68 [10]
Answer:
Mean = 51.4.
Mode = 49.
Median = 52.
Range = 6.
Step-by-step explanation:
Mean = Sum of all observations / Number of observations.
Mean = (49+49+54+55+52+49+52)/7
Mean = 360/7
Mean = 51.4 (to the nearest tenth).
Mode = The most repeated values = 49 (repeated 3 times).
Range = Largest Value - Smallest Value = 55 - 49 = 6.
Median = The central value of the data.
First, arrange the data in the ascending order: 49, 49, 49, 52, 54, 55, 55.
It can be seen that the middle value is 52. Therefore, median = 52!!!
18 x 3 = 54. So the correct answer is D. 54 pounds.
Answer:
64
Step-by-step explanation:
A square has 4 sides. 32 divided by 4 is 8. 8 squared is 64.
Answer:
(A)


(B)

(C)

(D)
The high school's enrollment in 2017 is 2500
Step-by-step explanation:
Let's assume time starts since 2009
so, In 2009 , t=0
P=900
In 2012,
t=2012-2009=3
P=1500
(A)
So, we have points as


(B)
we can use slope formula

we can plug values


we know that
slope is rate of change of P with respect to time
so, slope means increase in population is 200 per year
(C)
we can use point slope form of line





(D)
In 2017 ,
t=2017-2009=8
we can plug t=8
and we get


The high school's enrollment in 2017 is 2500