Answer:
angle 1: 72.5°
angle 2: 107.5°
Step-by-step explanation:
x + y = 180
x - y = 35 ===> x = 35 + y
Substitution to find angle y:
x + y = 180
(35 + y) + y = 180
35 + 2y = 180
2y = 145
y = 72.5
Substitution to find angle x:
x = 35 + y
x = 35 + (72.5)
x = 107.5
The solution is given below:
<h3>What is price index?</h3>
An index number expressing the level of a group of commodity prices relative to the level of the prices of the same commodities during an arbitrarily chosen base period and used to indicate changes in the level of prices from one period to another.
Given:
Comm. p0 q0 p1 q1 p0q0 p1q0 p1q1 p0q1
A 25 750 30 960 18750 750 28800 24000
B 30 450 25 550 13500 750 13750 16500
C 5 250 6 360 1250 30 2160 1800
D 6 90 7 210 540 42 1470 1260
E 10 140 10 190 1400 100 1900 1900
F 4 48 5 65 192 240 365 260
Now,
p0q0 = 35632
p1q0 = 1912
p1q1 = 48445
p0q1= 45720
1) P01(L) =
p1q0/
p0q0 * 100
= 5.36
2) P01(L) =
p1q1/
p0q1 * 100
= 105.96
Dorbish- Bowley
= 5.36+ 105.96/2
=55.66
Marshall- Edgeworth
= 1912+ 48445/35632 + 45720
= 50357/ 81352
= 0.619 *100= 61.9
Fisher's price index
=( 5.36 * 105.96 )^ 0.5
=23.831
Learn more about price index here:
brainly.com/question/14184515
#SPJ1
the correct answer is (4.8)
Answer: The number is 0.75 or 3/4
Step-by-step explanation:
let x = the number.
Now set up an equation: The product of a number (x) and -4 = -4x. So -4x is subtracted from the number - x. x-(-4x)
Then, that equals 3 more than the number (x) = x+3
So the equation is x-(-4x)=x+3.
Then, solve the equation!
x-(-4x)=x+3
x+4x=x+3 (Distribute the negative to the parentheses)
5x=x+3 (Combine like terms)
4x=3 (Get the Xs on one side by subtracting x from both sides)
x=0.75 or 3/4 (divide by the coefficiant, 4, on both sides)
Answer:
This can also be expressed as 16(1 + 3)
Step-by-step explanation:
For this we look for the greatest common factor to put on the outside. Each term can be evenly divided by 16. So we take 16 out and divide each term by 16 in the parenthesis.