Degree measures<span>Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees.</span>
Answer:

Step-by-step explanation:
Consider the selling of the units positive earning and the purchasing of the units negative earning.
<h3>Case-1:</h3>
- Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
- Mr.A earns Rs6000
So, the equation would be

<h3>Case-2:</h3>
- Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
- Mr B neither lose nor gain meaning he has made 0₹
hence,

<h3>Case-3:</h3>
- Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
- Mr.C earns 13000₹
therefore,

Thus our system of equations is

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>
we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

Now solve the equation accordingly:

Solving the equation for x and y yields:

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437
Answer:
D. {4, 0, -3.5}
Step-by-step explanation:
domain (x) = {-3, 1, 4.5}
y= -x + 1
substituting domain/x-values into y= -x + 1
x= -3
y = -(-3) + 1
= 3+1
= 4
x= 1
y = -(1) + 1
= 0
x = 4.5
y = - (4.5) + 1
= -3.5
therefore, range ={4, 0, -3.5}
Answer:
19% of households have more cars than the garage can hold
Step-by-step explanation:
We are given the following distribution for the number of cars owned by a family.
Number of cars X: 0 1 2 3 4 5 6
Probability: 0.07 0.31 0.43 0.12 0.04 0.02 0.01
We have to find the percentage of households have more cars than the garage can hold.
A garage can hold two cars. Thus, the household with more than two cars are the households that have more cars than the garage can hold.
The given distribution is a discrete probability distribution.
Thus, we evaluate:

Thus, 19% of households have more cars than the garage can hold.