The third side must be >2 and < 18
To test if a triangle is acute, right or obtuse:
1) Square all 3 sides
2) Sum the squares of the 2 shortest sides
3) Compare this sum to side 3 squared
if sum > side 3 squared it is an acute triangle
if sum = side 3 squared it is a right triangle
if sum < side 3 squared it is an obtuse triangle
The shortest side 2 can be is "less than 2" so we'll say it is 2.00000001
three sides squared =
<span>
<span>
<span>
4.00000004
</span>
</span>
</span>
64
100
Summing the 2 shortest sides 4.00000004 + 64 = <span>68.00000004
</span><span>68.00000004 is less than 100 so it is an obtuse triangle no matter how long the third side is.
</span>
Solution:
<u>Note that:</u>
- AB = EF
- BC = EG = 6x - 8
- 7x - 19 = 2x + 11
- Perimeter of triangle: 24 + 2x + 11 + 6x - 8
<u>Solving for x:</u>
- 7x - 19 = 2x + 11
- => 7x - 2x = 19 + 11
- => 5x = 30
- => x = 30/5 = 6
<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>
- 24 + 2x + 11 + 6x - 8
- => 24 + 2(6) + 11 + 6(6) - 8
- => 24 + 12 + 11 + 36 - 8
- => 24 + 12 + 3 + 36
- => 75 units
The perimeter of the triangle ABC is 75 units.
Answer:
c. 44,950,000
Step-by-step explanation:
The following table is missing:
Year Attendance (millions)
1985 18.4
1990 25.2
1995 33.1
2000 37.6
Using a calculator, the line of best fit is obtained. Equation:
y = 1.31x - 2581.6
where y is attendance (in millions) and <em>x</em> is the year. Replacing with x = 2005 into the equation, we get:
y = 1.31(2005) - 2581.6
y = 44.95 millions or 44,950,000
Answer:
x=66°
Step-by-step explanation:
48+x+x=180
2x=180-48
2x=132
x=132/2=66
Answer: B 56
Step-by-step explanation:
