The measure of MN from the diagram is 6
<h3>Similarity theorem of triangles</h3>
From the given triangle, the expression below is true;
ML/LK = MN/NO
Given the following parameters
ML = 4
LK = 10
NO= 15
Substitute the given parameters into the formula
4/10 = MN/15
Cross multiply
10MN = 4 * 15
10MN = 60
MN = 6
Hence the measure of MN from the diagram is 6
Learn more on similar triangles here: brainly.com/question/14285697
Answer:
4^3x=4^(4x+4)
Step-by-step explanation:
You can eliminate the first 2 options since those don’t make sense already, and the last option changed 64 to 2^6 which is correct, but when they changed the other side. They should have multiplied 8 to both x and 1 which would have made the whole term 2^(8x+8) and not 2^(8x+1). Left with the third option, 4 to the power of 3 is 64 so the left side makes sense, 4^3x=64^x, on the right side, 4^4 equals 256, so the whole exponent should multiply by 4 so from 256^(x+1) you get 4^4(x+1) giving 4^(4x+4) making the third choice the right answer.
Answer:
31.25
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Answer and explanation;
= 1/15 is the answer get when 36 is divided by 540 .
We can use the partial quotients to divide 540 by 36 then we get the reciprocal of the answer;
540 ÷ 36
We can take 360 ÷ 36 = 10
Then the remainder is ; 540 -360 = 180
But ; 180 ÷36 = 5
Then we get the sum of the quotients which is 10 +5 = 15
Thus; 540 ÷ 36 = 15
However; the question was 36 ÷ 540 , so we get the reciprocal of 15;
= 36 ÷ 540 = 1/15
