The distance between points M and N according to the task content is; 9.8 meters.
<h3>What is the distance between points M and N?</h3>
From observation of the task content information; it can be deduced for a fact that the line segment MN which joins points M and N is parallel to the line JK. This follows from the fact that M and N are midpoints KL and JL respectively.
Hence, it follows that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality;
NM/19.6 = 7.4/(2×7.4)
NM = 19.6/2 = 9.8 meters.
This follows from congruence theorems in which case, the ratio of corresponding sides of congruent triangles are equal.
Read more on congruent triangles;
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Answer:
We have the same homework!!!!
hours that passed= 10
Step-by-step explanation:
(1st step)We start with the expression:
(1st)82-0.4x=78
"STARTED at 82 degrees" 82
"Cooling DOWN 0.4 degrees" -0.4
"EACH hour" x
"NOW 78 degrees" =78
(2nd step) We want to get the variable x alone, so we have to do the opposite sign they have, to cancel the number out for it to be 0.
(1st) 82 -0.4x =78
(2nd) -82 ÷-0.4 =78
(3rd)Now, you work out the problem (transfer the numbers from the left to the right). First, you have to do the subtraction sign, not sure why.
(1st) 82 -0.4x =78
(2nd) -82 ÷-0.4 =78
(3rd) 78 -82= -4
-4÷-0.4= 10
X= 10
there you have it!
To make sure this is correct, you do the following.
82 -0.4 x 10
Solve using PEMDAS
-0.4 x 10 = -4
its time to add 82.
82 - 4 = 78
78 is the exact temperature that was said in the problem
Answer:
the answer is 1. 794
Step-by-step explanation:
If we rewrite it as y=mx+d (which can be taken from here from subtracting ax and c from both sides, then dividing b, resulting in y=(-a/b)(x)-c/b. We can then substitute -a/b for m and -c/b for d), if d=0, then we have m as a constant and as we add a specific number to y (that number being m) every time the x value increases by 1, it therefore forms a straight line. If d is not 0, then we simply add d to every single number - this is still a straight line due to that we still add a specific number to y every time x increases by 1 every single time
Answer: Part a) 375 pounds, Part b) 8 words
Step-by-step explanation:
a)
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Since n represents the number of words there are, we can plug in 20 for n into the equation to get:
C = 15*20 + 75 pounds
C = 300 + 75 pounds
C = 375 pounds
b)
Since C represents the cost of the advert, we can plug in 195 for C into the equation to get:
195 = 15n + 75
Subtract 75 from both sides:
120 = 15n
Divide both sides by 15:
n = 8 words
