Answer:
a. The value of the constant k is 21
b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.
Step-by-step explanation:
a.
<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.
</em>
The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:
<em>105=k*5
</em>
<em>k=21
</em>
<u><em>So the value of the constant k is 21.</em></u>
b.
<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>
This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".
Answer:
1) At least two equal sides
2) One pair of equal angles
Triangle ABC is similar to triangle APQ. They have corresponding line segments. Line segment PQ corresponds to BC.
Answer:
45 degrees
Step-by-step explanation:
Ok I think it is 45 degrees try that if not super sorry
Answer:
3 gallons
Step-by-step explanation:
Each wall 12 x 20 = 240 feet squared
4 walls = 4 x 240 = 960 squared feet
960 divided into 320 = 3
1 gallon --------320
1 gallon------------320
1 gallon-----------320
3 gallons----------960