Using the left or right side of triangle, you can conclude that the midsegment will divide the triangle in both midlines of the sides. This means the length of the line would be half of the line below it. The equation would be:
47/4x+2= 94/ 4x+44
4x+44/ 4x+2 = 94/47
4x+ 44 / 4x+2 =2
4x+44 = 2(4x+2)
4x+44 = 8x+4
4x-8x= 4-44
-4x= -40
x= 10
Then the length of midline would be:
4x+2= 4(10)+2= 42
Since a serving is 1/2 cup and he needs 72 servings you can multiply 72 by 1/2 and find out that he needs to make 36 cups of punch. Two cups is a pint so he needs (36 / 2) 18 pints of juice. He already has the 8 pints of pineapple juice so 18 - 8 leaves 10 pints of orange juice.
<u>Part 1</u>
Using the distance formula,
So, the measure of the longest side is 6 units.
<u>Part 2</u>
Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).
We already know that 
Using the distance formula,
So, ABD is a scalene triangle.
<u>Part 3</u>
From part 2, we know that the length of side AD is 5 units.
The sum is 10s^2t-5st^2. With two separate sections it’s a binomial, and the sum of the powers of the variables is 2+1=3, it has a degree of 3.
Answer:
48 °
Step-by-step explanation:
The following data were obtained from the question:
Adjacent = 12 cm
Hypothenus = 18 cm
Angle R =?
We can obtain angle R by using cosine ratio. This can be obtained as follow:
Cos R = Adjacent / Hypothenus
Cos R = 12 / 18
Cos R = 0.6667
Take the inverse of Cos
R = Cos¯¹ 0.6667
R = 48 °
Thus, <QRP = 48 °
