<h3>{ 13, 9, 6} represent the sides of a triangle</h3>
<em><u>Solution:</u></em>
<em><u>Use the triangle inequality law</u></em>
The sum of the lengths of any two sides of a triangle must be greater than the third side
<em><u>Option A</u></em>
{13, 9, 6}
Also,
Thus, sum of length of any two sides is greater than third side
Therefore, { 13, 9, 6} represent the sides of a triangle
<em><u>Option B</u></em>
{12, 7, 20}
19 is not greater than 20
Therefore, {12, 7, 20} does not represent the sides of a triangle
<em><u>Option C</u></em>
{25, 50, 75}
75 is equal to 75
Therefore, {25, 50, 75} does not represent the sides of a triangle
Answer:
Step-by-step explanation:
6x + 11y = 45
9x + 9y = 45
-18x - 33y = -135
18x + 18y = 90
-15y = -45
y = 3
6x + 33 = 45
6x = 12
x = 2
Answer:
m2 = 145
m3 = 145
m4 = 35
Step-by-step explanation:
m<1 = m<4 because of vertical angles
m<2 + m<1 = 180
m<2 + 35 = 180
m<2 = 145
m<2 = m<3 because of vertical angles
Answer:
x = 3
4^2 + x^2 = 5^2
solve for x
16 + x^2 = 25
x^2 = 25-16
x^2 = 9
sqrt of x^2 = 3
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