1. Is a difference of 5 each time so it would be 28,33,38
3. Is the same so go up by 5 each time.
4. Goes up by 3, so your next answers would be 17,20,23.
5.im not sure if that was a typo but it looks like everything after 30 goes up 7 so it would be 51,58,65 hope the last one was a typo but the rest should be right
Reason F should be "CPCTC" which stands for "corresponding parts of congruent triangles are congruent". Its like saying "if two houses are identical, then the front doors should be the same". The houses in the analogy are the triangles, while the front doors are the corresponding parts. So if triangle DEC is congruent to triangle BEC, then the corresponding parts angle DEC and angle BEC are congruent.
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Reason H is "linear pair postulate" which says that if two angles form a linear pair then they are considered supplementary. This is simply what "supplementary" means. The two angles add to 180 degrees. A "linear pair" is where you have two angles that are adjacent and the angles combine to form a straight angle (180 degrees).
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Side note: It seems like some of this proof has been cut off. There should be more lines to this proof because the last line is always what you want to prove. In this case, the thing we want to prove is "angle DEC and angle BEC are right angles" so that should be the last statement.
-2-(5•-3)= -2-(-15)
= -2+15
=13
Answer:
AC= 13 and DE= 24
Step-by-step explanation:
use tge pythegorous theorum
for AC
a^2+b^2=c^2
(5x5) +(12x12)=c
25+144=169
√169 =13
DE
use the same approach
a^2+b^3=c^2
a2 +10^2=26^2
a^2+100= 676
676- 100= 576
√576= 26
hope it helps
Answer: (7, 0)
Step-by-step explanation:
We have the system of equations:
9*x - y = 63
x = y + 7
We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:
9*x - y = 63
9*(y + 7) - y = 63
Now we have an equation that only depends on one variable, so we can solve it:
9*y + 63 - y = 63
8*y + 63 = 63
8*y = 63 - 63 = 0
y = 0/8 = 0.
Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:
x = y + 7 = 0 + 7 = 7
Then the point that is a solution for the system of equations is (7, 0)
