Answer:
<h2>1592 miles</h2>
Step-by-step explanation:
We want to solve the difference between the Nile River and the Missouri River.
Given data
Length of the Nile River= 4,132 miles
Length of the Missouri River=2,540 miles
A rough estimate or a guess from the head for the difference will be around
1,600 mile
let us solve and see
difference= 4,132-2,540
difference=1592 miles
hence the difference is 1592 miles
<h3><u>Solution</u></h3>
<u>Given </u><u>:</u><u>-</u>
- Paul is exactly 6yrs older than jane.
- jane.the ratio of their ages is5:3
<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>
<h3><u>E</u><u>x</u><u>p</u><u>l</u><u>a</u><u>n</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u></h3>
<u>Let,</u>
- Age of paul = x years
- Age of jane = y years
<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>to</u><u> question</u>
==> x = 6 + y
==> x - y = 6_____(1)
<u>And,</u>
==> x : y = 5:3
==> x/y = 5/3
==> 3x - 5y = 0______(2)
Multiply by 3 in equ(1)
==> 3x - 3y = 18_____(3)
<u>Subtract</u><u> </u><u>equ(</u><u>2</u><u>)</u><u> </u><u>&</u><u> </u><u>(</u><u>3</u><u>)</u>
==> -5y + 3y = -18
==> -2y = -18
==> y = 18/2
==> y = 9
<u>keep </u><u>in </u><u>equ(</u><u>2</u><u>)</u>
==> 3x - 5×9 = 0
==> 3x = 45
==> x = 45/3
==> x = 15
<h3><u>Hence</u></h3>
<h2><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h2>
Answer: parallel
Step-by-step explanation:
For two lines to be parallel they must have the same slope.
Because a is parallel to b they must have the same slope. Let's call that slope x.
Because c is parallel to b they must have the same slope. Because the slope of b is x, the slope of c must be x.
Because the slope of both a and c are x, they must be parallel.
Answer:
Step-by-step explanation:
cos a cos b+sin a sin b=cos (a-b)
cos 160 cos 10+sin 160 sin 10=cos (160-10)
=cos 150
=cos (180-30)
=-cos 30
=-√3/2
Answer:
Step-by-step explanation:
b/c there is a -5 we know that the line will pass through point (0,-5) and we also want the line to pass through (-2,3) so use those two points to find the slope
m = 3-(-5) / -2 -0
m = 3+5 / -2
m = -8/2
m = -4