Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
1/6 of their time has to be put in to the project.
Answer: MATH
Step-by-step explanation:
Answer:
482
Step-by-step explanation:
We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:
Where is the first term, is the nth term, and is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do , which is , or the common difference. Since we have everything we need, it can be plugged into the equation:
So, the 61st term is 482.
Answer:
y=2x+6 ; x+y=51
Step-by-step explanation:
assuming x is one number and y is the other -
one number (y) is 6 more (+6) than twice another (2x) -
using that knowledge we form an equation -
y=2x+6
the sum (x+y) is 51
using this knowledge we can make the equation -
x+y=51
now you have -
y=2x+6 or 2x-y=-6
x+y=51
using system of equations -
you add the equations -
3x=45
x=15
y=51-x => y=36
hope this helps!!