Answer: 129
Step-by-step explanation:
the mean is the average of the data. including x, there are 6 data points
average = total/6
average = (98 + 123 + 105 +114 +109 + x) / 6
113 = (98 + 123 + 105 +114 +109 + x) / 6
113 = (549+ x) / 6
678 = 549 + x
x = 129
Answer:
The correct option is c.
Step-by-step explanation:
The quotient of the polynomials is
We need to find the remainder by using long division method.
The dividend of the given expression is
The long division method is shown below.
From the below attachment it is clear that the quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.
Therefore the correct option is c.
Answer:
m=-2
Step-by-step explanation:
We will use the formula for rate of change (slope).
m=(y2-y1)/(x2-x1)
Pick any pair of x and y values.
(10-12)/(2-1)
Simplify.
m=-2
HTH :)
Answer:
This is an equilateral triangle so it must also be equiangular. A triangle must have 180 degrees and has three angles so 180/3 = 60. Each angle is 60 degrees.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The quadrilateral has 4 sides and only two of them are equal.
A) to find PR, we will consider the triangle, PRQ.
Using cosine rule
a^2 = b^2 + c^2 - 2abcos A
We are looking for PR
PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70
PR^2 = 64 + 49 - 112 × 0.3420
PR^2 = 113 - 38.304 = 74.696
PR = √74.696 = 8.64
B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,
We will use the sine rule because only one side,PR is known
For sine rule,
a/sinA = b/sinB
SP/ sin 35 = 8.64/sin110
Cross multiplying
SPsin110 = 8.64sin35
SP = 8.64sin35/sin110
SP = (8.64 × 0.5736)/0.9397
SP = 5.27
SR = SP = 5.27
The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm
