Answer:
As per ASA postulate, the two triangles are congruent.
Step-by-step explanation:
We are given two triangles:
and 
.
AD bisects BE.
AB || DE.
Let us have a look at two properties.
1. When two lines are parallel and a line intersects both of them, then <em>alternate angles </em>are equal.
i.e. AB || ED and 
and 
are alternate angles 
.
2. When two lines are cutting each other, angles formed at the crossing of two, are known as <em>Vertically opposite angles </em>and they are are <em>equal</em>.
Also, it is given that <em>AD bisects BE</em>.
i.e. EC = CB
1.
2. EC = CB
3. 
So, we can in see that in and , two angles are equal and side between them is also equal to each other.
Hence, proved that 
.
Answer:
Each section of the board is 1/3 or 0.334(0.333333333333) of a meter
Step-by-step explanation:
3/5 divided by 3 is the equation we have to do.
3/5 divided by 3 is also equal to 3/5 times the reciprocal of 3 or 1/3
3/5 * 1/3
3*1 = 3
5*3 = 15
3/15 which can simplify to 1/3. (divide numerator and denominator by 3.)
Each section of the board is 1/3 or 0.334(0.333333333333) of a meter
Answer:
<h2>y = 3</h2>
Step-by-step explanation:
If a line has slope 0, then it's a horizontal line.
A horizontal line has an equation:
<h2>y = a</h2>
where a is any real number.
The line passes through point (-12, 3) → x = -12, y = 3.
Therefore the equation is
<h2>y = 3</h2>
According to given information,
Equation of Melinda Earning = 75 + 12x
Equation of Marcus Earning = 15x
Where, x = Number of hours they worked.
Now, we need to calculate when they will have same amount of money, so for that instance they shall equal to each other.
75 + 12x = 15x
15x - 12x = 75
3x = 75
x = 75/3
x = 25
After 25 hours, they will have the money = 15(25) = $375
So, your final answer is $375
Hope this helps!
Answer: The answer is (C) 180°.
Step-by-step explanation: Given that m∠A = 40°. ∠B is a complement of ∠A and ∠C is a supplement of ∠B. We are to find m∠B + m∠C.
Since ∠B is a complement of ∠A, so we have
Now, since ∠C is a supplement of ∠B, so we have
Therefore,
Thus, (C) is the correct answer.
