Answer:
Hello! answer: x = 31
Step-by-step explanation:
This whole thing Will equal 360 we can subtract that by 112 and another 112 because there are two because they are vertical angles so 112 + 112 = 224 360 - 224 = 136 now we divide by 2 since those last two angles will have the same measure 136 ÷ 2 = 68 so now we just have to find out what multiplied by 2 plus 6 = 68 so 2 × 31 = 62 and 62 + 6 = 68 so x = 31 hope that helps! and I showed a visual for you so hopefully this makes more sense!
Answer:
What is the aswer?
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.
