Answer:
20 degrees
Step-by-step explanation:
A triangle's angles should 180 degrees added together, so 90 + 70 = 160, leaving 20 for the last angle.
Answer:
see below
Step-by-step explanation:
y = 5x - 31
y = mx + b
where m = slope
slope of a parallel line = 5
slope of a perpendicular line = - 1/5
To solve for the width simply multiply the two numbers:
width of sidewalk = 12 * (3 7/8)
Where 3 7/8 = 31/8
so calculating,
width of sidewalk = 12 * (31 / 8)
<span>width of sidewalk = 46.5 inches</span>
Answer:
(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}
(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values of the input - more than one output.
for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.
The frelation
is not a function because:
When x = 1, y = +1 and y = -1.
(c) The set of data provided can be represented by the equation of a line of the form y = mx + b
The slope is:


m = 2

b = 5 - 2*3
b = -1
Then, the function is:
y = 2x-1
You can substitute any of the points shown in the equation and check that equality is satisfied, for example:
(11 , 21)
y = 2 (11) -1
y = 22-1
y = 21. The equation is satisfied. The same goes for the rest of the values.
Answer:
2 1/3
1 4/3
2.333...
233.3...%
Step-by-step explanation: