Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.
All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.
Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
222222222222-22111111111111111
= - 2.2111 × 10^16
Answer:
Rational numbers' decimal representations either finish or repeat a pattern. Divide the top by the bottom, the numerator by the denominator to convert fractions to decimals, and if the division doesn't come out evenly, round off after a specific number of decimal places.
Step-by-step explanation:
Answer:
4 ft downwards
Step-by-step explanation:
old height off the ground :
7^2+b^2=25^2
49+b^2=625
b^2=576
b=24
new height off the ground :
7+8=15
15^2+ b^2 =25^2
225+b^2 = 625
b^2 = 400
b=20
difference between heights :
24 - 20 = 4
She worked for five hours on Saturday.
Step by step: 3 hours × $6.50= $19.50
then take the amount of money she made in total and subtract what she made on Friday to find how much she made on Saturday
$52 - $19.50= $32.50
Now take how much she made on Saturday and divide that by $6.50 to find how many hours she worked on Saturday
$32.50 ÷ $6.50= 5 hours
