- Answer:
- m∠P + m∠Q + m∠R = 180°
- PT, QU, and RS intersect at the same point.
Step-by-step explanation:
1. Not neccesarily true
2. Not necessarily true
3. True because angles in a triangle add to 180°
4. Not necessarily true
5. True because the medians are being constructed, and the three medians of a triangle are always concurrent.
6. Not necessarily true
Solve for b:
5 a (b - c) = d
Divide both sides by 5 a:
b - c = d/(5 a)
Add c to both sides:
Answer: b = c + d/(5 a)
Answer:
2/3
Step-by-step explanation:
Simplify the following:
(8/27)^(1/3)
Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).
(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):
(8^(1/3))/(27^(1/3))
Hint: | Simplify radicals.
27^(1/3) = (3^3)^(1/3) = 3:
(8^(1/3))/3
Hint: | Simplify radicals.
8^(1/3) = (2^3)^(1/3) = 2:
Answer: 2/3
Answer:
0.4
Step-by-step explanation:
2 x 20=40
5 x 20=100
40/100= 0.40 simplified as 0.4
Answer:
x = 30
y = 54
Step-by-step explanation:
You want the solution to the system of equations ...
- 2x +12 +2y = 180
- 4x +y +6 = 180
<h3>Solution</h3>
Divide the first equation by 2 and subtract the result from the second equation.
(4x +y +6) -(2x +12 +2y)/2 = (180) -(180)/2
3x = 90 . . . . . . . simplify
x = 30 . . . . . . . . divide by 3
4(30) +y +6 = 180 . . . . substitute into the second equation
y = 180 -126 = 54
The values of x and y are ...
x = 30
y = 54
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<em>Additional comment</em>
A suitable graphing calculator can find the solution using the equations "as is."
