Answer:
59
Step-by-step explanation:
Substitute.
6 ^ 2 = 36
36 + 23 = 59
Answer:
Angle x= 60°
Step-by-step explanation:
For the triangle HIL, you're going to add 30+90=120
Angles in a triangle add up to 180.
So, therefore,
180-120=60 so angle L must equal 60.
HJ is a straight line and angles in a straight line add up to 180.
180-90=90
Angle JIL is equal to 90.
To find y you add 90+45 which equals 135.
Again, angles in a triangle add up to 180.
180-135=45
So,
y = 45
Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.
To find angle JLK we must add angle L and angle y.
60+45=105
Angles in a straight line add up to 180. So,
180-105=75
75 = Angle JLK
75+45=120
Angles in a triangle add up to 180 so,
180-120= 60
Angle x= 60°
Hope this helped, if so please award me with the brainliest if possible. If you require further assistance from me comment below! :)
B; since we know that angle NKL is 90° and is cut by a diagonal line that angle NKM is 67° since angles MKL and NKM both form a right angle. With this information we could now say that x is 67°, because angles NKM and LMK are alternate interior angles, stated in the alternate interior angles theorem. One of the properties of a parallelogram is that diagonal bisect each other, making all the bisected diagonal congruent, so we could use this information to find y. In the picture you could see highlighted in red the diagonals I will be focusing on. Since these two diagonals are congruent, but not the base side, this makes the shape of an isosceles triangle. We know that isosceles triangle's base angles are congruent, so we have to make label the base angles both 67°. Because of the Triangle Sum Theorem, the triangle has to equal 180°, so we add the base angles to get 134°, then we have to subtract 180° and 134° to get 46°, which is your y.
Answer: 16.5
Step-by-step explanation: