Step-by-step explanation:
I can't see picture very well but as I see first angle is
-4x+5 and second is -13x+39 ( if it isn't, correct me)
sum of this angles is 180° because they are inner angles
(-4x+5) + (-13x+39) = 180
-4x+5 -13x+39=180
-17x+44=180
-17x = 180-44
-17x= 136
x= -8
angle -4x+5 will be:
-4*-8 + 5= 32+5= 37°
Answer:
74.82
Step-by-step explanation:
48+38=86 86 X 0.87= 74.82
Answer: OPTION D: 
Step-by-step explanation:
By definiton, fractions have the following form:

Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.
In order to solve this exercise you need to remember de Division of fractions:

In this case, according to the information given in the exercise, you know that
of rubies are divided into 4 lots.
Therefore, in order to calculate the weight in pounds of each lot, you need to divide
by 4.
Then, you get the following result:

As you can notice, this result matches with the Option D.
Answer:
The formula to calculate standard deviation from probability is \sqrt(n*p*(1-p)). n is the sample size, and 200 in this case (number of putts for practice). p is 80% or 0.8, the probability that he can make it. So the standard deviation is \sqrt(200*0.8*(1-0.8)=\sqrt(200*0.8*0.2)=\sqrt(16)=4.
Answer:
Step-by-step explanation:
If we write the inequality out, we get this:
x <1/4
(
3
x
+
4
)
Now we just need to solve for x. Multiplying both sides by 4 yields:
4
x
<
3
x
+
4
Subtract 3x from both sides:
x
<
4
So any number less than 4 will work!