Step-by-step explanation:
BC^2 + DC^2 = AC^2
6^2 + 4^2 =AC^2
36 + 16 = AC^2
52=AC^2
√52=AC
AC=7.2111
Answer: i got 0 i dunno if my math wrong sorry if wrong
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for finding the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.
Where
n represents the number of sides of the polygon.
5a) The polygon has 11 sides. Therefore, sum of angles is
(11 - 2) × 180 = 1620
The measure of each angle is
1620/11 = 148.3°
b) n = 24
Therefore, sum of angles is
(24 - 2) × 180 = 3960
The measure of each angle is
3960/24 = 165°
5a) n = 7
Therefore, sum of angles is
(7 - 2) × 180 = 900
The measure of each angle is
900/7 = 128.6°
5b) n = 10
Therefore, sum of angles is
(10 - 2) × 180 = 1440
The measure of each angle is
1440/10 = 144°
Answer:
a) $170
b) 12
Step-by-step explanation:
A = 250 - 20t
where A is Jina's account balance and t is the number of trips she takes.
a) If Jina takes 4 trips, then t = 4.
Substitute t = 4 into the given equation:
A = 250 - (20 x 4)
= 250 - 80
= 170
So Jina has $170 left in her account after 4 trips.
b) The calculate the maximum number of trips Jina can take without running out of money, set A to zero and solve for t:
when A=0: 0 = 250 - 20t
Add 20t to both sides: 20t = 250
Divide both sides by 20: t = 12.5
Therefore, Jina can take 12.5 trips. However, she can't take a half-trip so we should round the number down to 12 trips (as after 12 trips she will only have enough money left for half a trip).
So, the largest number of trips Jina can take without running out of money is 12.
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°