The total angles in a polygon is 180 (n -2) where n is the number of sides.
A traingle has 3 sides. using the formula 180 x (3-2) = 180
So
X + Y + Y = 180
X + 2Y = 180 ...eq1
A pentagon has 5 sides, using the formula
180 x (5-2) = 540.
All the Y adds up to 540.
10Y = 540
Y = 54.
Use Y = 54 and sub into eq1
X + 2(54) =180
X = 180 - 2(54)
X = 180 -108
X =72
So X is 72
and Y is 54
Answer:
C. 500 + 300 + 50 + 10 + 7
Step-by-step explanation:
Which expression represents the number 867?
A. 80 + 60 + 70
B. 800 + 6 + 7
C. 500 + 300 + 50 + 10 + 7
D. 500 + 300 + 60 + 70
Checking the answer choices by adding the expression
A. 80 + 60 + 70
= 210
No correct
B. 800 + 6 + 7
= 813
Not correct
C. 500 + 300 + 50 + 10 + 7
= 867
Correct
D. 500 + 300 + 60 + 70
= 930
Not correct
Therefore option C. 500 + 300 + 50 + 10 + 7 is the correct answer
I believe the correct answer is C: gas
Answer:
Line 3 is incorrect; we don't know anything about the lengths of HG, FG, HE, and EF, so this line is not valid based on the given information.
Step-by-step explanation:
In the Noah's poof of the construction, segment EG would divide angle FGH into two equal parts, which makes line 2 to be valid. i.e <EGH ≅ <EGF. And it can also be observed that line 4 is a valid theorem in proving the congruent nature of triangles.
But line 3 is not valid because of the condition of the statement. Furthermore, segments FG, EG, HG, HE and FE may not be congruent. Thus, the condition of the statement in line 3 is incorrect.
