the question does not present the options, but this does not interfere with the resolution
we know that
if a and b are parallel lines
so
1) m∠2=58°------> by corresponding angles
2) m∠1=4x-10------> by alternate exterior angles
3) [m∠2+m∠(3x-1)]+m ∠1=180°------> by supplementary angles
58+(3x-1)+4x-10=180
7x=180-47
7x=133
x=19°
4) angle (4x-10)=-4*19-10-------> 66°
5) angle 3x-1=3*19-1-------> 56°
Answer:
21 miles
Step-by-step explanation:
Each of the distances is the same, so we have ...
5x +4 = 15x -30
34 = 10x
3.4 = x
Then the distances are ...
5(3.4) +4 = 21 . . . . miles
Bert and Ernie each live 21 miles from Big Bird's nest.
Answer:
5.66 years
Step-by-step explanation:
450 x 1.025^(n) = 450 + 67.50
450 x 1.025^(n) = 517.50
1.025^(n) =(517.50 / 450)
1.025^(n) = 1.15
n = ln(1.15) / ln(1.025)
n = 5.66
Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
__
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
_____
<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
Answer:
is an expression which describe the given sequence
Step-by-step explanation:
Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.
The general rule for the arithmetic sequence is given by;
......[1]
where
represents the first term
d represents the common difference
and n is the number of terms;
Given sequence: -1 , 0 , 1 , 2 , .....
This is an arithmetic sequence with common difference
Since,
0-(-1) = 1
1-0 =1
2-1 = 1 ....
Here, 
Substitute the value of , d =1 in [1] we get
Therefore,an expression which describe the given sequence is,
