Answer:

Step-by-step explanation:
The triangles are drawn below.
CD is perpendicular to AB as CD is height to AB.
Therefore, angles
°
So, triangles ΔCBD and ΔCAD are right angled triangles.
Now, from the right angled triangle ΔABC,

From ΔCBD,
is same as
.
So, 

Now, from ΔCAD,
is same as 
So, 

Hence, the unknown angles of both the triangles are:

Answer:
38 ft
Step-by-step explanation:
:)
2/5 tablespoons of vanilla extract ... 6 muffins
x tablespoons of vanilla extract = ? ... 18 muffins
If you would like to know how much vanilla extract does he need, you can calculate this using the following steps:
x * 6 = 18 * 2/5
x * 6 = 36/5 /6
x = 36/5 / 6
x = 6/5 = 1 1/5
Result: Arthur will need 1 1/5 tablespoons of vanilla extract for 18 muffins.
3/2 since you move 3 spaces horizontally (x) and 2 spaces up (y)
Answer:
The probability is 169/2652
Step-by-step explanation:
The number of cards in a deck of cards is 52
In each deck of cards, there are 13 black cards and 13 spade cards
The probability of selecting a spade card will be;
13/52 = 1/4
Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51
So the probability of the second card being a black card if the first is spade will be ;
13/52 * 13/51
= 169/2,652