Answer:
???????
Step-by-step explanation:
triangles add to 180 degrees
lets call the unknown angle y
82 + x + y = 180
we also know that y + (2x-20 ) = 180 because it is a straight line
lets solve this for y
y + (2x-20 ) = 180
subtract (2x-20) from each side
y = 180 - (2x-20)
y = 180 - 2x + 20
y = 200 -2x
substitute this in the triangle equation
82 + x + y = 180
82 + x + 200 -2x = 180
combine like terms
282 -x = 180
subtract 282 from each side
-x = -102
multiply by -1 on each side
x = 102
the exterior angle is 2x-20
exterior angle is 2(102) -20
exterior angle is 204-20
exterior angle is 184
This is impossible.
There is a mistake with this problem
The triangle is not a triangle. Angle y would be negative. y=-4
Answer:
It will take him about 13 houses to sell the 5 candy bars.
Pat has an 18% chance of selling his last candy in the 11th house.
Step-by-step explanation:
Since Pat is required to sell candy bars to raise money for the 6th grade field trip, and there is a 40% chance of him selling a candy bar at each house, and he has to sell 5 candy bars in all, to determine the number of houses it takes and determine the probability he sells his last candy bar at the 11th house, the following calculations must be performed:
5 / 0.40 = X
12.5 = X
So, it will take him about 13 houses to sell the 5 candy bars.
5/11 = X
0.45 = X
0.45 x 0.4 = 0.18
Thus, Pat has an 18% chance of selling his last candy in the 11th house.
Answer:
A.) The sum of the product of the number of terms and the number of terms plus one.
Step-by-step explanation:
So, we have the sum of the first 22 positive even numbers:
S = 2 + 4+ 6 + ... + 44
We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).
S = (2 + 44) * 11 = 46 * 11 = 506
Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).
S = 22 * 23 = 506
That's confirmed.
Answer B would give 22 * 21 = 462, so it's not right
Answer C would give 22 * 2 = 44, obviously not right
Answer D would give 22 * 22 = 484, close but not right.
<u>Answer</u><u>:</u>
x = -6 or x = 2
Hope you could get an idea from here.
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