Answer:
Explanation:
AB = BC
=> Triangle ABC is an Isosceles Triangle
Thus, Angle C = Angle A
DE = BE
=> Triangle DEB is an Isosceles Triangle
Thus, Angle D = Angle B
Proof that triangle ABC and DEB are similar:
Angle DBE = Angle A (corresponding angle)
Angle BDE = Angle C (Both Triangle are Isosceles, if one pair of the angle are equal then the other pair should also be equal)
=> Triangle ABC ~ Triangle DEB (AA)
Therefore, Angle E = Angle B
Find angle B:
Angle C + Angle A + Angle B = 180
40 + 40 + angle B = 180
Angle B = 180 - 80
Angle B = 100 degree
But Angle B = Angle E = 100 degree
Therefore, Angle E = 100 degree
Answer:
f(x) = 4x - 7
Step-by-step explanation:
To find the function, we must next find the y-intercept, as we know the rate of change already (4). Since x=2 when y=1, we can use the rate of change to find the y-intercept. Going from x=2 to x=0 would multiply the rate of change by -2, and we get (-8). Next, we add -8 to the existing y-value (1) to get -7, and get our y-intercept as well as the rest of our function [f(x)=4x-7]
<h3><u>Answer: Middle Number</u></h3><h2>Your Explanation</h2>
The mean is the middle number of the numbers.
Example:
1 2 3 4 5 6 7
The middle number here is 4.
<em>-Edge</em>
Answer:
Density is defined as mass per unit volume:
density = mass/volume
Density can be calculated using the mathematical formula (expression):
d = m ÷ V
where d = density, m = mass, V = volume
The greater the density, the more mass per unit volume.
The unit of density derived from SI units is kilograms per cubic meter, kg/m3 or kg m-3.
More commonly, densities are given in g/mL (g mL-1) or g/cm3 (g cm-3 or g/cc).
Density is a characteristic property of pure substances so density can help identify a particular pure substance.
Since different substances have different densities, density can also be used to separate one substance from another.
In general, solids are more dense than liquids which are more dense than gases:
density of solid > density of liquid > density of gas
Step-by-step