Answer:
y = -1/2x + 3
Step-by-step explanation:
subtract x to both sides
then divide both sides by two
To find the translation you need to count how far each point is moving. It goes downwards three times while moving left 5 times, this means that the rise is negative 3 and the run is -5. (-3/-5)
I dont remember much of this but if I'm correct the formula for this coordinate notation is (x, y) -> (x - 5, y - 3) Please check this
Answer:
- the angle at H is 120 degrees
- the missing segment is DC
Step-by-step explanation:
The "roof" FGH is bigger than 90 degrees because FG and GH are not acute. .
Without instruction we can assume FGH is 120 degree.
This means GHF is 30 degrees to complete the triangle FGH.
So the angle around H, or JHG is 90 + 30 = 120 degrees
For the ratio, we can simply look at the comparison between the small figure DJHGF
and the large figure DCBAE, and we see that the denominator
DJ in the small figure is DC in the large figure.
Answer D all of the above
Step-by-step explanation:
Answer:
- a° = 70°
- b° = 78°
- c° = 139°
- d° = 17°
- e° = 123°
- f° = 69.5°
Step-by-step explanation:
You need to take advantage of what you have learned about inscribed angles. Each inscribe angle is half the measure of the arc it intercepts. Of course, the sum of all arcs around a circle is 360°.
Putting these facts together, you can quickly conclude that opposite angles of an inscribed quadrilateral are supplementary:
a = 180 -110 = 70
b = 180 -102 = 78
The arc (c+81) is opposite the inscribed angle marked 110, so we have ...
c + 81 = 2(110)
c = 220 -81 = 139
The arc (c+d) is intercepted by the angle marked b, so we have ...
139 +d = 2(78)
d = 156 -139 = 17
The arc (e+81) is intercepted by the inscribed angle marked 102, so ...
e +81 = 2(102)
e = 204 -81 = 123
The inscribed angle f intercepts arc c, so is half its measure.
f = 139/2 = 69.5