The measure of angle 1 is 210 degrees.
You'll have to draw an auxiliary line in between the two parallel lines.
Then, you'll have to find out the angle measures next to 100 and next to 50. Since a line is 180°, then the angle measures next to 100 and 50 are 80 and 130 respectively.
Then, since you have an auxiliary line, you can use the rule of alternate interior angles of parallel lines being equal.
Then from there just add up 80 and 130 to get you 210.
8x - (5x + 4) ≥ -31
8x -5x - 4 ≥ -31
3x ≥ -31 + 4
3x ≥ -27
x ≥ - 9
Answer: a numbe line with a circle on - 9 and shading to the left.
Because that drawing represents the number that are less or equel than -9 and the answer is the numbers greater or equal than -9.
Answer:
x = 25
Step-by-step explanation:
Noting that these figures are similar, we set up and solve an equation of ratios:
x 30
---- = ------
15 18
Cross multiplying, we get:
18x = 30(15), or 3x = 5(15) = 75. Then x must be 25.
Answer:
"2.82" seems to be the correct solution.
Step-by-step explanation:
As we know,
A bag (Bag A) contains,
Red balls = 3
Blue ball = 1
A second bag (Bag B) contains,
Red balls = 1
Blue ball = 1
Now,
⇒ P(Bag A, red ball) = 
On substituting the values, we get
⇒ = 
⇒ = 
Similarly,
Probability of second bag will be:
⇒ P(Bag B) = 
hence,
In the first bag (Bag A), the expected number of red balls will be:
⇒ 
On substituting the values, we get
⇒ 
⇒ 
⇒ 