Answer:
Step-by-step explanation:
In a triangle the sum of all angle measures is always 180 degrees
degrees
By splitting the isosceles triangle down the middle we can calculate the base
So ∠H = 23°, ∠K = 90°, ∠J = 67°, HJ = 19
With this we can solve for half of the base. the trig function will need to use is sin, since the side opposite of ∠H will be part of the base. 
now we need to rearrange the formula for what we have.
This value is only half of the base, so we need to double it
X - 2
x^2-x+1 | x^3 - 3x^2 + 3x - 2. x^3 - x^2 + x
-2x^2 + 2x -2 -2x^2 + 2x - 2 0
Quotient = x - 2
Answer:
See explanation
Step-by-step explanation:
1. The sample of this study is 250 households in a cedar bluff. Population sample means the total number of units or participants are participating in a study to determine the result.
2. The population of interest refers to the objects and measurement through which a population sample can be measured to make a bold decision. Here, 4 pounds of garbage per day is a measurement to make a valuable decision to validate the study.
Convert everything to kg first
12g = 0.012kg
2500mg = 0.0025kg
0.23 tonnes = 230kg
so
2500mg, 12g, 0.23 tonnes, 4600kg
Marcos has 6 nickels and 9 quarters
<em><u>Solution:</u></em>
Let "n" be the number of nickels
Let "q" be the number of quarters
<em><u>Marcos had 15 coins in nickels and quarters</u></em>
Therefore, we can say,
number of nickels + number of quarters = 15
n + q = 15 -------- eqn 1
<em><u>He has three more quarters than nickels</u></em>
Number of quarters = 3 + number of nickels
q = 3 + n -------- eqn 2
Eqn 1 and eqn 2 represents the system of equations
<em><u>Substitute eqn 2 in eqn 1</u></em>
n + 3 + n = 15
2n + 3 = 15
2n = 15 - 3
2n = 12
<h3>n = 6</h3>
<em><u>Substitute n = 6 in eqn 2</u></em>
q = 3 + 6
<h3>q = 9</h3>
Thus Marcos has 6 nickels and 9 quarters
