Answer:
115
Explanation:
Angles in a triangle sum to 180
Add the two angles given and subtract it from the total sum of angles to find the missing interior angle -
75 + 40 = 115
180 - 115 = 65
Now that we have the interior angle, we can work out the exterior angle by subtracting it from 180
180 - 65 = 115
Answer:
65°
Step-by-step explanation:
The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).
Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:
m∠1 + m∠2 = 180°
m∠1 + 115 = 180
m∠1 = 180 - 115
m∠1 = 65°
Answer:
s = 13 - x
t = 
Step-by-step explanation:
To start out with:
s = 18
t = 18
Sue gives Tony x sweets
s = 18 - x
t = 18 + x
Sue then eats 5 of her sweets
s = 18 - x - 5 = 13 - x
t = 18 + x
Tony eats half of his sweets
s = 13 - x
t = 
(Possible constraint that
)
Hmm, y=1 is directix
means it opens up or down
we will be using
(x-h)²=4p(y-k) where (h,k) is vertex and p is the distnace from focus to vertex and from vertex to direcitx
focus is (-1,-3)
find distance between y values because directix is a y value
midpoint is the vertex
from -3 to 1 is 2 units
since focus is below directix, it opens down, and p is negative
it is 2 units above focus
so at (-1,-1)
and p=-2
(x-(-1))²=4(-2)(y-(-1))
(x+1)²=-8(y+1) is da equation