9514 1404 393
Answer:
E. 4x -180
Step-by-step explanation:
Angles QPB and RAP are corresponding, so congruent. Angles QPR and ARP are alternate interior angles, so congruent. Triangles BQP and PQR are isosceles, so angle PBQ ≅ angle QPB and angle RQP = 180-2x.
The total of angles RQP and RQC is angle PQC, an external angle to triangle PQB. We know the exterior angle is equal to the sum of the remote interior angles. That means ...
angle PQC = angle QPB +angle QBP
y +(180 -2x) = x + x
y = 4x -180 . . . . . . . . . . . subtract (180-2x) from both sides
I hope that will help that's the simplest I could go
Answer:
(2,2) , (0,0), (5,3)
Step-by-step explanation:
To check which points are solution to the system of inequalities, substitute the value of those points in the two inequalities and make sure are both true.
y ≤ x
y > -x +1
Point (x=2, y=2)
2 ≤ 2 ✅
2 > -2 +1 ⇒ 2 > -1 ✅
Because both inequalities are true using the coordinates of this point then the point IS a solution to the system of inequalities.
Point (x= -2, y=2)
2 ≤ -2 ❌
We stop checking because we need both inequalities to work. This point IS NOT a solution.
Point (x=0, y=0)
0 ≤ 0 ✅
0 > -0 +1 ⇒ 2 > 1 ✅
This point IS a solution.
Point (x=0, y=5)
5 ≤ 2 ❌
This point IS NOT a solution.
Point (x=2, y= -2)
-2 ≤ 2 ✅
-2 > -2 +1 ⇒ -2 > -1 ❌
This point IS NOT a solution.
Point (x=5, y=3)
3 ≤ 5 ✅
3 > -5 +1 ⇒ 3 > -4 ✅
This point IS a solution.
Point (x=4, y= -3)
-3 ≤ 4 ✅
-3 > -4 +1 ⇒ -3 > -3 ❌
This point IS NOT a solution.
Point (x=-2, y=-2)
-2 ≤ -2 ✅
-2 > - -2 +1 ⇒ -2 > 2+1 ⇒ -2 >3 ❌
This point IS NOT a solution.
Answer:
102°
Step-by-step explanation:
As the vertically opposite angles are equal,
Now let's solve for x now
Now let's find the value of KNL
Hope this helps you.
Let me know if you have any other questions ;-)
