Answer: 5 = z
Step-by-step explanation: You just need to isolate z to find out what it is equal to. So you simply just add 8 from both sides and z is equal to 5.
I believe it’s 24, sorry if i’m wrong.
Answer:
C) m∠1 = 45°, m∠2 = 76°, m∠3 = 80°
Step-by-step explanation:
In the given figure. There are two triangles. We have to use the concept of the sum of interior angles of a triangle is 180°.
So,
m∠2 + 45° + 59° = 180
m∠2 + 104° = 180°
m∠2 = 180° -104°
m∠2 = 76°
m∠1 and 45° are the opposite angles. When two lines are intersection each there, then the opposite angles must be equal.
Therefore, m∠1 = 45°
m∠1 + m∠3 + 55° = 180
45° + m∠3 + 55° = 180°
m∠3 + 100° = 180°
m∠3 = 180° -100°
m∠3 = 80°
Therefore, m∠1 = 45°, m∠2 = 76°, m∠3 = 80°
Answer is C) m∠1 = 45°, m∠2 = 76°, m∠3 = 80°
Slopes of perpendicular lines are NEGATIVE RECIPROCAL to each other
namely, if say one has a slope of a/b then the other will have a slope of
![\bf slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}](https://tex.z-dn.net/?f=%5Cbf%20slope%3D%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20negative%5Cimplies%20%20-%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20reciprocal%5Cimplies%20-%20%5Ccfrac%7B%7B%7B%20b%7D%7D%7D%7Ba%7D)
what the dickens does that mean?
well, it means that their product is
![\bf \cfrac{a}{b}\cdot \cfrac{-b}{a}\implies -1](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Ba%7D%7Bb%7D%5Ccdot%20%5Ccfrac%7B-b%7D%7Ba%7D%5Cimplies%20-1)
so... in this case, one has a slope of 3/4 and the other has a slope of d/2
thus