Answer:
✓ triangle GSP = triangle RKF
Step-by-step explanation:
have a great day!
Answer:
18
Step-by-step explanation:
This question tests your understanding of order of operations rules.
Anything within parentheses (such as (14 - 5) must be evaluated first, followed by exponentiation (such as 3^4), and then multiplication and division, and then addition and subtraction.
Here (14 - 5) must be evaluated first; it comes to (9).
Then we have 3^4 ÷ 9 · 2.
Do the exponentiation first: 81 ÷ 9 · 2.
Here we have both division and mult. Do these from left to right:
81 ÷ 9 · 2 → 9 · 2
9 · 2 = 18
Answer:
g) x = 30
h) x = 30
i) m = 55
j) x = 24
k) k = 45
Step-by-step explanation:
G)
all angles of a triangle add up to 180.
the square in the bottom right of the triangle is 90 btw
2x + x + 90 = 180
3x + 90 = 180
3x + 90 - 90 = 180 - 90
3x = 180 - 90
3x = 90
3x/3 = 90/3
x = 30
H)
this is an Isosceles triangle.
that means the bottom two angles are equal.
75 + 75 + x = 180
x + 150 = 180
x + 150 - 150 = 180 - 150
x = 180 - 150
x = 30
I)
2m is supplementary to the bottom right angle of the triangle.
that means they add together to make 180.
80 + 30 + (180 - 2m) = 180
110 - 2m = 180 - 180
110 - 2m = 0
110 = 2m
110/2 = m
55 = m
J)
to save time I'm not going to write out the steps, its the same as the i.
2x + 3x + (180 - 120 ) = 180
5x + 60 = 180
5x = 180 - 60
5x = 120
x = 120/5
x = 24
K)
imagine this as a triangle and a square.
sorry I'm not sure how to explain this -.-
but the equation would be
k + k + 90 = 180
2k + 90 = 180
2k = 180 - 90
2k = 90
k = 45
L)
Im not sure how to solve this, I'm sorry :( hope you figure it out!
Answer:
1/3
Step-by-step explanation:
Up 2, over 6.
Simplify - 6 divided by 2 = 3
So 1/3!
Answer:
The test statistic = -0.93
Step-by-step explanation:
The test statistic is given by the formula
z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)
where X₁ = proportion of data of South Korean tourists = (57/134) = 0.425
X₂ = proportion of other country tourists = (72/150) = 0.48
σₓ₁ = standard error in data 1 = √[p(1-p)/n]
= √(0.425 × 0.575/134) = 0.0427
σₓ₂ = standard error in data 2 = √[p(1-p)/n]
= √(0.48 × 0.52/150) = 0.0408
z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)
z = (0.425 - 0.48) ÷ √(0.0427² + 0.0408²)
z = -0.055 ÷ 0.0590586996
z = -0.9313
Hope this Helps!!!
