Answer: Eve is 3
Melissa is 29. (3 + 26 = 29)
Paul is 33 ( 29 + 4 = 33)
3+ 29 + 33 = 65
Step-by-step explanation:
Answer:
62.9
Step-by-step explanation:
Follow the rounding rules.
Remember the tenths place is one place after the decimal point.
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Answer:
Step-by-step explanation:
The sides of a triangle are 6cm, 6cm, and 4cm.
According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.
So,
6+6=12>4
6+4=10>6
4+6=10>6
Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.
<span>arctan(2x) = -1 radian
</span>⇒ 2x = tan(-1)
⇒ 2x = -1.5574
⇒ x = -1.5574/2
⇒ x = - 0.7787<span>
</span>
