Hi Bre,
Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
- ...
- ∡4 ⇔ ∡8
We're given the angle of ∡7, which is 114°. We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.
From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°
-Hope this helps!
Answer:
The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be ![y=4](https://tex.z-dn.net/?f=y%3D4)
Step-by-step explanation:
Given that the line passes through the point (5,4).
As the line is parallel to the x-axis, the slope of the line would be zero.
And we have point (5,4) from which the line is passing.
So, ![x_1=5\ ,\ y_1=4\ and\ m=0](https://tex.z-dn.net/?f=x_1%3D5%5C%20%20%2C%5C%20y_1%3D4%5C%20and%5C%20m%3D0)
The equation of the line passing through point
is
![y-y_1=m(x-x_1)\\y-4=0(x-5)\\y-4=0\\y=4](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5Cy-4%3D0%28x-5%29%5C%5Cy-4%3D0%5C%5Cy%3D4)
So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be ![y=4](https://tex.z-dn.net/?f=y%3D4)
THe answer to the question is 32 or 28
EDU only
Answer:
porfavor en español pls para yo poder resolverlo