Answer:
See explanation
Step-by-step explanation:
Statements Reasons
1. Given
2. As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD
3. Given
4. Reflexive property
5. SAS postulate
6. Corresponding parts of congruent triangles are congruent
7. Inverse alternate interior angles theorem
Answer:
Step-by-step explanation:
The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=.
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line
Substitute m= into y=mx+c:
To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,
Thus, the equation of the line is .
Answer:
a.H0: μ =530mL vs. Ha: μ > 530mL
Step-by-step explanation:
-A hypothesis test will be used to provide evidence that the median is more or equal to the stated median value.
#In a normally distributed population, the mean=mode=median:
-The null hypothesis states that the median is equal to the stated value:
-The alternative hypothesis provides evidence that the median value is greater than the stated value:
Hence, the correct hypotheses are H0: μ =530mL vs. Ha: μ > 530mL
Answer:
Step-by-step explanation:
Radius = r = 9 cm
Angle = θ = 200° = 3.5 radians
Now,
Area = 1/2 (9)²(3.5)
Area = 1/2 (81)(3.5)
Area = 282.7 / 2
Area of sector = 141.4 cm²