Answer: B. 350.
Step-by-step explanation:
Given: Total number of fluorescent colors = 7
Total number of pastel colors = 5
Since , he want three fluorescent colors and two pastel colors.
Number of ways to select r things out of n things = 
Number of ways to choose colors = 

Hence, the correct option is B. 350.
Answer:
15
Step-by-step explanation:
The answer is D
Explanation 4 ones is 4
Since complementary angles add to 90°, (4x - 1) and (5x + 19), also add to 90°.
Thus, lets form an equation:
90 = 5x + 19 + 4x - 1
72 = 9x
x = 9
Thus, the measure of angle B is 64°.
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°