Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
Answer:
3.6666 (I didn't round)
Repeating decimal
Step-by-step explanation:
We know that
2/3
is the same as
2÷3
Therefore:
3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666
A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.
A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.
Hope this helped.
If my calculations are correct , only 26 stacks of folders will only hold 7 folders evenly .. leaving 1 pile with 9 folders because 26*7= 182 & 184-182 = 2 . 7+2=9
4/26 which simplified to 2/13
so 2/13 is the answer
Answer:
The big number is 41 and the small number is 32.
Step-by-step explanation:
b + s = 73
2b - s = 50 Add these equations together
3b = 123 Divide both sides by 3
b = 41
Now plug this into the first equation to find s
41 + s = 73
-41 - 41
s = 32
