Answer:
Two angles are congruent if they have the same measure. If you didn't already know, when two lines intersect the vertical angles formed are congruent. For example, all the angles in a square are congruent. All the angles in a regular pentagon are 108°, therefore all the angles are congruent because they are the same.
Step-by-step explanation: Hope this helps:).........if not sorry:(
Δ DUM Δ MAP
hypotenuse: 15 2y-3
short leg: 12 0.5x + 6
y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM
SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.
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!!!
Answer:
B. 51
Step-by-step explanation:
first do inside the parenthesis
83 - 4 * (6-4)^3 = 83 - 4 * (2)^3
now multiply 4 and the third power of 2 (the third power of 2 is 2x2x2=8)
83 - 4 * (2)^3 = 83 - 32 subtract and the answer is 51
