Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of
, we need to add together all the interior angles and equal it to 720, then solve for
.
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10
- 5) + 108 + (8
- 3) + (14
- 25) + 133 + 128 = 720
Collect like terms:
10
+ 8
+ 14
- 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32
+ 336 = 720
Subtract 336 from both sides:
32
= 384
Divide both sides by 32:
= 12
Answer: the statement made by Tim Cook is TRUE
Step-by-step explanation:
Given that;
in 2007 cost of 1st gen iphone = $499 (base year price)
cost of iphone today = $999 (current year price)
Using the Consumer Price Index
the Consumer Price Index = (cost pf product in current years/cost of product base year) × 100
we substitute
CPI = (999/499) × 100
CPI = 200.2004
so the CPI is 100.2004% higher in the current year than in the base year
Checking the inflation rate
IR = (( CPI this year- CPI last year)/CPI last year) × 100
CPI last year (base year) = 100
CPI current year is = 100.2004
so
IR = (( 100.2004 - 100)/100) × 100
IR = 0.002004 × 100
IR = 0.2004%
THEREFORE the statement made by Tim Cook is TRUE
3x-16x-24=-12x-30
-13x+12x=-30+24
-x=-6 /*(-1)
x=6
Make each fraction have a like denominator
7/9 * 8/8= 56/ 72
7/8 * 9/9 = 63/72
18 + 14 + (56+63)/72
32 + 119/72
32 + 1 + 47/72
33 and 47/72
Answer:
32 cents
Step-by-step explanation:
Find 8.25 percent of 3.90:
0.0825*3.90 = 0.32