I'm sorry, but how about these. Yes, yes I know do your own homework. These are sets of extra credit problems and we have to at least answer all of them to get any credit.
1. One angle of a triangle is one-fifth the measure of the largest angle. The third angle is twice the smallest. Find the measure of the smallest angle.
a. 112.5 b. 20 c. 45 d. 22.5
The sum of the squares of two consecutive odd integers is one less than three times the square of the smaller. Choose one of the the integers from those below.
a. 7
b. 15.
c. 19
d. 11
e. 3
f. 11
3. You are told that a line has a slope of 2 / 3 and the line passes through the point given by (-5, -4 ). Choose two other points from those given below which are on this same line.
a. -1, -2
b. 2,1
c. 13,8
d. 1,0
e. 3,1
4. The sum of the reciprocal of an integer and the reciprocal of six-more-than-that-integer is the same as 5 / 36. Find the integers. Choose one of the integers from those given below.
a. 30
b. 24.
c.10
d16
e.12
f. 14
Thank you.
1. One angle of a triangle is one-fifth the measure of the largest angle. The third angle is twice the smallest. Find the measure of the smallest angle.
a. 112.5 b. 20 c. 45 d. 22.5
The sum of the squares of two consecutive odd integers is one less than three times the square of the smaller. Choose one of the the integers from those below.
a. 7
b. 15.
c. 19
d. 11
e. 3
f. 11
3. You are told that a line has a slope of 2 / 3 and the line passes through the point given by (-5, -4 ). Choose two other points from those given below which are on this same line.
a. -1, -2
b. 2,1
c. 13,8
d. 1,0
e. 3,1
4. The sum of the reciprocal of an integer and the reciprocal of six-more-than-that-integer is the same as 5 / 36. Find the integers. Choose one of the integers from those given below.
a. 30
b. 24.
c.10
d16
e.12
f. 14
Thank you.
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x + (1/5)x + (3/5)x = 180
(9/5)x = 180
x = 100 <-- Largest Angle
Smallest Angle = 100/5 = 20
Answer: b. 20
x^2 + (x+2)^2 = 3x^2 - 1
x^2 + x^2 + 4x + 4 = 3x^2 - 1
0 = x^2 - 4x - 5
(x - 5)(x + 1) = 0
x = 5
The two integers are 5 and 7
Answer: 7
Eq of a line: y = mx + b
slope = 2/3 --> y = (2/3)x + b
(-5,-4) satisfies the eq --> -4 = (2/3)(-5) + b
-4 = (-10/3) + b
b = -2/3
y = (2/3)x - (2/3)
8 = (2/3)(13) - (2/3)
0 = (2/3)(1) - (2/3)
Answer: c,d
(1/x) + (1/(x+6)) = 5/36
(x+6)/[(x)(x+6)] + x/[(x)(x+6)] = 5/36
(2x+6) / (x^2 + 6x) = 5/36
72x + 216 = 5x^2 + 30x
5x^2 - 42x - 216 = 0
With quadratic equation: x = 12
Answer: e
(9/5)x = 180
x = 100 <-- Largest Angle
Smallest Angle = 100/5 = 20
Answer: b. 20
x^2 + (x+2)^2 = 3x^2 - 1
x^2 + x^2 + 4x + 4 = 3x^2 - 1
0 = x^2 - 4x - 5
(x - 5)(x + 1) = 0
x = 5
The two integers are 5 and 7
Answer: 7
Eq of a line: y = mx + b
slope = 2/3 --> y = (2/3)x + b
(-5,-4) satisfies the eq --> -4 = (2/3)(-5) + b
-4 = (-10/3) + b
b = -2/3
y = (2/3)x - (2/3)
8 = (2/3)(13) - (2/3)
0 = (2/3)(1) - (2/3)
Answer: c,d
(1/x) + (1/(x+6)) = 5/36
(x+6)/[(x)(x+6)] + x/[(x)(x+6)] = 5/36
(2x+6) / (x^2 + 6x) = 5/36
72x + 216 = 5x^2 + 30x
5x^2 - 42x - 216 = 0
With quadratic equation: x = 12
Answer: e