60°; all of of the angles of a triangle add up to 180° so 180 divided by 3 equals 60°.
Step-by-step explanation:
Find the slope of JK by the formula :y2-y1/(x2-x1) whose value is 4/5
similarly, calculate the slope of GH it's value is also 4/5
Find slope of GK now by same formula y2-y1/( x2-x1 ).the value will be -5/3
Similarly calculate slope of HJ and you will get its value to be -5/3
since parallel lines have equal slopes JK and GH are parallel and GK and HJ are parallel. Since opposite sides are parallel GHJk is parallelogram
Answer: 30 is the least common multiple of 6 and 10.
Step-by-step explanation:
30/6= 5
30/10= 3.
Answer:
Step-by-step explanation:
H0 : μ = 46300
H1 : μ > 46300
α = 0.05
df = n - 1 = 45 - 1 = 44
Critical value for a one tailed t-test(since population standard deviation is not given).
Tcritical = 1.30
The test statistic :(xbar - μ) ÷ (s/sqrt(n))
The test statistic, t= (47800-46300) ÷ (5600√45)
t = 1500
t = 1500 / 834.79871
t = 1.797
The decision region :
Reject H0: if t value > critical value
1. 797 > 1.30
Tvalue > critical value ; We reject H0
Hence, there is sufficient evidence to conclude that cost has increased.
Answer:
p + 111 = 210
p = 99
Step-by-step explanation:
Break the question down into parts.
<u>Convert each part into algebraic form</u> (numbers or symbols).
210 => 210
is equal to => =
the total of p and 111 => p + 111
Put the equation together:
210 = p + 111
Usually, the variable is on the left side:
p + 111 = 210
<u>To solve the equation is to isolate "p"</u>. This means to keep "p" on the left, and move everything else to the right side. When moving something, do the <u>reverse operation</u> to both sides of the equation.
p + 111 = 210 "111" should be on the left. It's opposite is -111.
p + 111 - 111 = 210 - 111 Simplify. "111" cancels out on the left.
p = 99 Solved for "p"
