Answer:
see explanation
Step-by-step explanation:
Since AB = BC the the triangle is isosceles and thus
∠ A = ∠ C = 8x
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
44x + 8x + 8x = 180, that is
60x = 180 ( divide both sides by 60 )
x = 3
Thus
∠ A = ∠ C = 8x = 8(3) = 24°
∠ B = 44x = 44(3) = 132°
Answer:
he grows by 5 cm every year between 1999 and 2006
Step-by-step explanation:
This is a arithmetic progression problem with the formula;
T_n = a + (n - 1)d
We are told that In 1999 Daniel was 146 cm tall. He grew to be 176 cm by the year 2006.
Thus;
a = 146
d = 2006 - 1999 = 7
Thus;
176 = 146 + (7 - 1)d
176 - 146 = 6d
30 = 6d
d = 30/6
d = 5 cm
Thus, he grows by 5 cm every year between 1999 and 2006
Two consecutive odd integers have a difference of 2. If you let the smaller one of them be x, the other one is x + 2.
Their sum is -36, so add x and x + 2, and set equal to -36. Then solve for x to find the smaller one. Finally, 2 more than x is the greater of the two integers.
x + x + 2 = -36
2x + 2 = -36
2x = -38
x = -19
The smaller one of the two integers is -19.
x + 2 = -19 + 2 = -17
The greater of the two integers is -17.
Answer: The integers are -19 and -17.
105,264 Lego’s in a case (please give brainlist)
