<span>LMN≅PQR means that point L is equal to P, point M is equal to Q, and point N is equal to R. All lines are the same.
Point Q has an angle of 72, which means that point M also has an angle of 72.
Now you have two angles to find x. All interior angles of a triangle add up to 180, so you can set up the following equation to find x:
72 + 36 + x = 180
Subtract 36 from both sides.
72 + x = 144
Subtract 72 from both sides.
x = 72
The angle of point L, x, is 72.
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Answer:
x = xi + delta x
-2+1 = -1
y = yi + delta y
-5+3 = -2
(-1,-2)
Step-by-step explanation:
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
You can approximate the square root of 30 by taking the square root of a number close to it. This is called local linearization. You can take the square root of 36, which is 6, and the square root of 25, which is 5, and state that the square root of 30 is approximately somewhere between 5 and 6
Answer:
No, because the probabilities of drawing a vowel versus a constant are not equally likely.
Step-by-step explanation:
Each number in a random number generator is equally likely. If she assigns only the number 1 to vowels and only the number 2 to consonants, she will get results showing that they are equally likely.
In reality, 5 of the 26 letters are vowels (not including y). The teacher should assign numbers 1 through 5 to vowels, and numbers 6 through 26 to consonants. This will be a fair representation.