Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128

AB // CD and AC is transversal.
{Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101

Answer:
200
Step-by-step explanation:
Because you are rounding to the hundreds, you look at the tens place. The tens place is a "1" and 1 is below five, so you round down to 200.
Answer:
111 / 190
Step-by-step explanation:
Total biscuits = 20
Plain, P = 12
Chocolate, C = 5
Currant, K = 3
Assume without replacement :
Probability that biscuit are of the same type :
P(plain) :
12 / 20 * 11 / 19 = 132 / 380
P(chocolate) :
5/ 20 * 4 / 19 = 20/ 380
P(currant) :
3/20 * 2 /19 = 6 / 380
Therefore,
Probability that biscuit is of the same type :
P(plain) + P(chocolate) + P(currant)
132/380 + 20/380 + 6/380
158 / 380 = 79 / 190
Therefore, probability that biscuit aren't of the same type :
1 - P(biscuit is of same type)
1 - 79/190
(190 - 79) / 190
111 / 190
The correct answer is B. 30 > 10
Explanation:
In mathematics and related fields, number lines are straight lines that display numbers using intervals this is useful to represent quantities visually, for example in graphs. Additionally, in number lines, numbers are organized in ascending order from left to right, for example, number 1 will be placed to the left of number 2. According to this, number 30 placed to the right of 10 will represent a higher quantity, considering the more you go to the right the higher the number is. Thus, 30 is greater than 10 (30 > 10).
The range of the fiction is 32 bc the x & y is 6