Answer:
this is hard what grade is this for
Step-by-step explanation:
Answer:
y = 2x + 7
Step-by-step explanation:
Find the slope with y2-y1/x2-x1, which is 2
Find y intercept, which is 7
Answer:
Step-by-step explanation:
If given tables in the picture show the proportional relationship,
Number of wheels (w) ∝ Number of buses (b)
w ∝ b
w = kb
Here, k = proportionality constant
k =
Number of buses (b) Number wheels (w) Wheels per bus
5 30
8 48
10 60
15 90
Here, proportionality constant is 6.
Similarly, If number of wheels (w) ∝ Number of train cars (t)
w = kt
Here, k = proportionality constant
k =
Number of train cars(t) Number of wheels(w) Wheels per train car ()
20 184
30 264
40 344
50 424
Since, ratio of w and t is not constant, relation between number of wheels and number of train cars is not proportional.
Answer:
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A triangle can only have at most one right angle.
Here's a proof that shows why this is so:
We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C
A + B + C = 180
Let's show that having two right angles is impossible
Let A = B = 90
90 + 90 + C = 180
180 + C = 180
Subtract 180 from both sides
C = 0
We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.
Let's try to show that it's impossible to have 3 right angles
Let A = B = C = 90
90 + 90 + 90 = 180 ?
270 ≠ 180
Thus it's impossible to have 3 right angles as well.
Let's show that is possible to have 1 right angle
Let A = 90
90 + B + C = 180
Subtract both sides by 90
B + C = 90
There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.
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