A = first piece, b = second piece, c = third piece
a + b + c = 47
b = 3a
c = 5a + 2
a + (3a) + (5a + 2) = 47.....combine like terms
9a + 2 = 47
9a = 47 - 2
9a = 45
a = 45/9
a = 5 ft
b = 3a.....b = 3(5)....b = 15 ft
c = 5a + 2....c = 5(5) + 2.....c = 25 + 2....c = 27 ft
longest piece (c) = 27 ft
I think it’s 55.6 square inches
Sorry if I’m wrong! :)
Answer: choice B, 40.5 degrees
The triangle is isosceles based on the fact that AC = BC (the tick marks are the same). The angles opposite the congruent sides are also congruent
angle A = angle B = x for some unknown number x
The three angles A,B,C add to 180, so,
A+B+C = 180
x+x+99 = 180
2x+99 = 180
2x = 180-99
2x = 81
x = 81/2
x = 40.5
So angle A and angle B are both 40.5 degrees
Check:
A+B+C = 180
40.5+40.5+99 = 180
180 = 180 answer is confirmed
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Edit
The sides with the two tick marks are the same length, so 7x-4 is the same as length as 31
7x-4 = 31
7x = 31+4
7x = 35
x = 35/7
x = 5
Answer is choice B) 5
Answer:the smallest possible sum of the two numbers is 537
Step-by-step explanation:
Two three-digit numbers are made up of six different digits.
To interpret this, let the two three digit numbers be;
ABC and. DEF
The first digit of the second number is twice as big as the last digit of the first number.
Interpret;
D=2C
The first digit of the first number can be 1, the second digit 0 and the third digit 2.
102.
For the second number:
D=2C
The first digit is 4, second digit 3 and last digit 5 since no repetition of digits
435.
Answer:the smallest possible sum of the two numbers is
102+435= 537
