Answer:
x = 30
Step-by-step explanation:
So we're going to start by finding the other angles of the triangle which x is part of. So we know that a line adds up to 180 degrees. So we can find the angle that's close to N. If you know which one I'm talking about.
105 + 45 = 150. So then we can subtract 150 from 180
180 - 150 = 30
And for the angle at angle L, it's also 90 degrees.
So we know that the angles that add up so far are 120.
Now we'll make an equation:
2x + 120 = 180
Because all angles of a triangle add up to 180
So we subtract 120 from both sides
2x = 60
Now we divide 2 form both sides.
x = 30
So, x = 30
Answer:
Step-by-step explanation:
product of slopes of perpendicular lines=-1
(t-5)/(3+4)×(2-3)/(-4-1)=-1
(t-5)/7×(-1/-5)=-1
(t-5)/35=-1
t-5=-1×35=-35
t=-35+5
t=-30
2.
slopes of parallel lines are equal.
(-2+3)/(t-4)=(-1-4)/(4+2)
1/(t-4)=-5/6
t-4=-6/5
t=4-6/5=(20-6)/5=14/5
3.
x>0,y<0
so P lies in4th quadrant.
except cos and sec all are negative.
so only cos and sec are positive.
Answer:
4 and 4
Step-by-step explanation:
Method A
1) Method A: Let 2 be the starting point and -2, the finishing one. Counting between 2 and -2, we can count a distance of 4 units. That's the simplest way, but not convenient to great numbers on the Number Line.
Method B:
There is no such thing as a negative distance, as a physical quantity. So this is the reason why we need to compute the absolute value of two numbers, which is simply what was done on Method B.
|2-(-2)|=|4|=4
As we are dealing with absolute values, the order is not relevant after all, the result remains the same. Take a look:
|-2-2|=|-4|=4
That's why the greater (2) or the lesser number (-2) can be the subtrahend (in bold within the brackets.
Answer:
(4, 1).
Step-by-step explanation:
The solution is the coordinates of the points where the 2 lines intersect.
That is where x = 4 and y = 1.
Answer:
495
Step-by-step explanation:
In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.
a1=3(1)-1 a1=2
a18=3(18)-1 a18= 53
Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)
Sn=18/2(2+53) Solve for sn= 495
