The statements that are true about ΔLNM are:
Hypotenuse = LN
Opposite side to ∠L = NM
Side opposite to ∠N = ML.
<h3>What is a Right Triangle?</h3>
A right triangle has right angle (angle 90) that is opposite to the longest side (hypotenuse).
From the image given, the right triangle has a right angle at angle M, which is oppposite to the hypotenuse, LN.
Therefore, the true statements about the triangle are:
- Hypotenuse = LN
- Opposite side to ∠L = NM
- Side opposite to ∠N = ML.
Learn more about the right triangle on:
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Answer:
∠ B = 85°
Step-by-step explanation:
the inscribed angle B is half the measure of its intercepted arc AC , then
∠ B = 
× 170° = 85°
Answer:
The number of miles/the number of hours
Step-by-step explanation:
If the number of hours is not equal to 1, multiply the numerator and denominator by the inverse of the number of hours.
For example, 10 (miles)/2 (hours)
The inverse of 2 is 1/2, so --> the new equation is 10/2 * 1/2 / 1/2 or
10* 1/2 and 2 * 1/2
When multiplied out, this leads to 5/1 or 5 miles per hour
Hello Friend,here is the solution for your question
<span>so the given function is </span>
y= √(-2cos²x+3cosx-1)
i.e = √[-2(cos²x-3/2+1/2)]
i.e = √[-2(cosx-3/4)²-9/16+1/2]
i.e. = √[-2(cos-3/4)²-1/16]
i.e. = √[1/8-3(cosx=3/4)²]-----------(1)
Now here in this equation is this quantity :-
<span>(cosx=3/4)²----------------(2) is to it's minimum value then the whole equation </span>
<span>i.e. = √[1/8-3(cosx=3/4)²] will be maximum and vice versa </span>
And we know that cosx-3/4 will be minimum if cosx=3/4
<span>therefore put this in (1) we get </span>
(cosx=3/4)²=0 [ cosx=3/4]
<span>hence the minimum value of the quantity (cosx=3/4)² is 0 </span>
<span>put this in equation (1) </span>
we get ,
i.e. = √[1/8-3(cosx=3/4)²]
=√[1/8-3(0)] [ because minimum value of of the quantity (cosx=3/4)² is 0 ]
=√1/8
=1/(2√2)
<span>this is the maximum value now to find the minimum value </span>
<span>since this is function of root so the value of y will always be ≥0 </span>
<span>hence the minimum value of the function y is 0 </span>
<span>Therefore, the range of function </span>y is [0,1/(2√2)]
__Well,I have explained explained each and every step,do tell me if you don't understand any step._
Answer: m= 1/420
Step-by-step explanation:
5x + 6y - 6y - 425x = 42
5x -425x = 42
0 = -420x - 42
m = -420
slope of a perpendicular line = 1/420
if that helps.
