Answer:
y = -180 + 3x
Step-by-step explanation:
Because AB = AC -> ABC is a isosceles triangle -> B = C
Because AB = BD -> ABD is an isosceles triangle -> A = D -> x = D
We have ADB + ADC = 180 -> x + ADC = 180 -> ADC = 180 - x (1)
We have x = D, and BAD + ADB + ABD = 180 -> ABD = 180 - 2x but B = C -> C = 180 - 2x (2)
With (1) and (2) We have DAC + ACD + ADC = 180
-> y + 180 -2x + 180 -x = 180
-> y + 360 - 3x = 180
-> y = -180 + 3x
Step-by-step Answer:
Customer is allowed to choose any five, where order does not count.
This means that there are 11 toppings to choose from for the first one, 10 for the second, 9 for the third, 8 for the fourth, and 7 for the last for a total of 11*10*9*8*7 = 11!/6! choices.
Since order does not count, we have over-counted by 5!, so the final answer should be 11!/(6!*5!) choices.
Mathematically, this number is represented by
C(11,5) = 11!/(6!5!) = 462, and is read
"Combination of 5 choices out of 11", or simply "11 choose 5".
He will have to order 7 pizzas
27 x 1/4 = 6.75
27 guests need 6.75 pizzas
1/4 would be left
Answer: both equations have the same solution because the second equation can be obtained by adding 4 to both sides of the first equation
eq 1 + 4:
= 3x+2 + 4 = -6 + 4
= 3x + 6 = -2 ⇒ eq 2
Explanation:
Lines will have same slope if they make the same angle with respect to the vertical or horizontal
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The similarity statement ∆QRS ~ ∆TUV tells you that ∠R ≅ ∠U.
Angle R is the angle measured clockwise from vertical segment RQ to segment RS. Angle U is the angle measured clockwise from vertical segment UT to segment UV.
Segments RS and UV both make the same angle with a vertical segment, so have the same slope.
