Answer: 139°
Reasoning:
Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.
14x-1=9x+14
To isolate the x to one side, subtract the 9x from the 14x.
5x-1=14
Now to get the constants on one side, add the 1 to the 14.
5x=15
Now divide both sides by 5 to isolate the x.
5x/5=15/5
x=3
Now that we know that, we can figure out angle 3.
9(3)+14
27+14= 41
Angle 3 = 41°
Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.
180°- 41°= 139°
<h3>Double checking your answer:</h3>
41°+139°=180°
Answer:
O D. an = 2(5)"
Step-by-step explanation:
Given the expression/sequence below
2, 10, 50, 250, 1250, ...
O D. an = 2(5)"
The explicit formula is C
a0= 2*5^0= 2
a1=2*5^1= 10
a2= 2*5^2= 50
a3=2*5^3= 250
a4=2*5^4= 1250
Answer:
a) the number of miles in 1 kilometer
Step-by-step explanation:
The car converts from miles/hour to kilometers/hour, if we see the time measurement (hours) it stays the same in both units.
So to make the conversion<u> it is enough to know how many miles are in one kilometer.</u>
For example, lets convert 10miles/hour to kilometers/hour.
there are 0.621371 miles in 1 kilometer, so if we divide 10miles/hour by 0.621371 we get kilometers/hour units:

Thus to make the conversion between the two units is needed the number of miles in 1 kilometer.
Answer:
Last option.
Step-by-step explanation:
The consecutive exterior angle theorem states that the exterior angles are supplementary if two lines are cut by a transversal.
m∠1 + m∠7 = 180
m∠2 + m∠8 = 180
Answer:
3) 5.4
Step-by-step explanation:
Given two points (x1, f(x1)) and (x2, f(x2)), the average rate of change is computed as follows:
[f(x2) - f(x1)]/[x2 - x1]
From the original photograph to the fourth enlargement, the points are (0, 15) and (4, 36.6). Replacing into the equation we get:
[36.6 - 15]/[4 - 0] = 5.4