Answer:
10 sides.
Step-by-step explanation:
Two same interior angles + 72 degrees = 360.
Thus, the interior angle of the polygon is 
.
The formula to find the interior angle of a polygon is 
Multiply both sides by n:
Expand:
Add 360 to both sides:
Subtract 144n from both sides:
Divide both sides by 36:
Answer:
3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate
Step-by-step explanation:
3) Statement ∠BDE ≅ ∠BAC;
Corresponding Angles Postulate
The Corresponding Angles Postulate states that given two parallel lines, in this case DE and AC cut by a transversal one (AB) than these corresponding angles are congruent.
5) ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate
If two pairs of corresponding angles are congruent (∠D and ∠A, ∠E and ∠C) than these triangles are similar.
six times a number: 6(x)
The sum of 6(x) and 25: 6x + 25
6x + 25 is your expression.
hope this helps
Answer:
19/72
Step-by-step explanation:
To calculate the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
We already know the number that liked chess only which is 10, we have to solve for those that liked swimming only which is
8+7+16+x = 40
x which represent swimming only is
40-31 = 9
Thus probability = 10/72 + 9/72 = 19/72
I am presuming that the question is who won or by how much did the winner win.
distance equals rate times time, or d = r*t
For the Hare d = 1600 and r = 10
1600 = 10 t
Divide both sides by 10
t = 160
The hare finished in 160 seconds
For the tortoise d = 1600 - 780 = 820 (due to the head start) and r = 5.3
820= 5.3 t
Divide both sides by 5.3
t = 154.72 (rounded to the hundredths place)
The tortoise won by 5. 28 seconds (160-154.72)
