Answer:
c = 
Step-by-step explanation:
To eliminate the fractions, multiply all terms by the lowest common multiple of 8 and 5
The lowest common multiple of 8 and 5 is 40
5 + 40c = 32 ( subtract 5 from both sides )
40c = 27 ( divide both sides by 40 )
c =
The slope of this line is 0, it would be undefined if the line were vertical
Answer:
m∠1=80°, m∠2=35°, m∠3=33°
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
step 1
Find the measure of angle 1
In the triangle that contain the interior angle 1
∠1+69°+31°=180°
∠1+100°=180°
∠1=180°-100°=80°
step 2
Find the measure of angle 2
In the small triangle that contain the interior angle 2
∠2+45°+(180°-∠1)=180°
substitute the value of angle 1
∠2+45°+(180°-80°)=180°
∠2+45°+(100°)=180°
∠2+145°=180°
∠2=180°-145°=35°
step 3
Find the measure of angle 3
In the larger triangle that contain the interior angle 3
(∠3+31°)+69°+47°=180°
∠3+147°=180°
∠3=180°-147°=33°
Answer:
<h2>2.2</h2>
Step-by-step explanation:
Use the cosine law:
We have:
Substitute:
Answer:
Jenna will complete remaining distance in 6 hours.
Step-by-step explanation:
Since we know that 
. Let us find the rate at which Jenna traveled 100 miles.
Remaining distance is 400-100=300.
Now let us find the time Jenna will take to travel 300 miles.
Therefore, Jenna took 6 hours to complete remaining distance.
