Answer:
x = 55, y = 70, z = 125
Step-by-step explanation:
125 and x are adjacent angles and are supplementary, then
x = 180 - 125 = 55
The triangle is isosceles ( 2 congruent sides ) thus the base angles are congruent, both 55
The sum of the 3 angles in the triangle = 180° , thus
y = 180 - (55 + 55) = 180 - 110 = 70
55 and z are adjacent and supplementary, so
z = 180 - 55 = 125
The answer is d 1 in = 4m
Answer: The length of the candle was 13.5 inches before it was lit.
Step-by-step explanation:
Let the length of candle in the beginning be c.
Constant rate of change in length of candle= -1.6 inches per hour
Since rate of change is constant so the length of candle can be represented by a linear function [Linear function has constant rate of change.]
Linear function : f(x)= mx+c , where x= independent variable.
m= constant rate of change and c= initial value of function.
Let x = Number of hours after the candle was lit.
Put m= -1.6 , x= 3 and f(x)= 8.7 , we get
Hence, the length of the candle was 13.5 inches before it was lit.
Answer:
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.
Answer/step-by-step explanation:
The graph of f(x) above is said to be the quantity of liquid a cylinder holds when poured into it at a given time, x.
This means the quantity of the liquid poured in the cylinder is a function of time.
f(x) values (quantity of liquid) are plotted on the y-axis, while x values (time) are plotted on the x-axis.
f(3) is the value at the y-axis when x = 3. Thus, when x = 3, y = 6.
Therefore, the value of f(3) = 6
f(3) = 6, represents the quantity of liquid poured in the cylinder at 3 seconds.
