Step-by-step explanation:
Use triangle congruency:
BC=EC, AC=DC - Given
m∠DCE = m∠ACB because they are vertical angles
Therefore ΔABC ≅ ΔDEC because of Side-Angle-Side congruency
AB=DE because corresponding parts of congruent triangles are also congruent (CPCTC)
Answer:
B :)
Step-by-step explanation:
We need to express this statement into a equation:
First of all. We will walk through the statement step by step into a mathematical language, so:
1. The sum of five and x:
x + 5
2. Twice the sum of five and x:
2(x + 5)
3. Eight less than x:
(x-8)
Finally the whole statement is:
4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
x = -18
Answer:
49
Step-by-step explanation:
- Try finding pattern of last two digits of 7 to the power of some numbers.
7^1=07
7^2=49
7^3=343
7^4= 2301
7^5= 16807
- so , the pattern is, 07,49,43,01
- so, if we start writing all numbers from 1 to 2018 , four number in each line, 2018 will fall in the second column.
- so it will have 49 as the last 2 digits [by seeing this pattern : 07,49,43,01 ]
Answer:
The expression f(200) depicts the value of the concentration of the pollutant, which when substituted in the expression T = f(P) will give the value of the thickness of the pelican eggs.
Step-by-step explanation:
Since we are given that T = f(P)
Where T = thickness of the eggs
P = concentration in ppm ((parts per million))
Considering f(200) comparing to f(P)
The expression f(200) depicts the value of the concentration of the pollutant, which when substiuted in the expression T = f(P) will give the value of the thickness of the pelican eggs.
i.e substituted the value of the concentration in ppm to get the thickness of the pelican eggs in mm. since the expression shows thickness of pelican eggs as a function of the concentration. for every 200ppm of concentration, the numerical value of the thickness of pelican eggs can be gotten.
