Step-by-step explanation:
Soln,
Here,
45°+65°+y(let)=180°[ being a triangle]
or,110°+y=180°
or,y=180°-110°
so,y=70°
Now,
x=?
so,
x+y=180°[being straight angle]
or,x+70°=180°
or,x=180°-70°
x=110°
THEREFORE,x=110°
solved!
Company B; the ratios of cost to weight are equivalent.
Step-by-step explanation:
Step 1:
In the equation,
k is the constant of proportionality.
If the values are in accordance with
, the values of k will be constant for all the values.
So we determine the values of k for both the companies and see which has a constant k.
If
. In these tables, y is the total cost and x is the weight in lbs.
Step 2:
For company A,
when 
when 
when 
For company B,
when 
when 
when 
So company B has a constant value of
.
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
Step-by-step explanation:
please complete your question
Your answer would be ( -12/5 x + 2 )