Answer:
No
Step-by-step explanation:
In order for the shapes to be congruent, corresponding parts must be congruent. The corresponding angles are NOT congruent, so the shapes are not congruent.
Answer:
46.9 times
Step-by-step explanation:
First, we can calculate how many feet it takes to run around the field. To find the perimeter of a rectangle, we can use the formula
2* length + 2 * width. With the length being 450 and the width being 225 here, we can say that
2*450 + 2 * 225 = 1350 feet
Therefore, Andrew runs 1350 feet each time he runs around the field. Next, we need to figure out how much 1350 feet goes into 12 miles as we want to find how many times Andrew runs around the field to get to 12 miles. This can be represented by
12 miles/1350 feet
One thing that we can do here is multiply the fraction by 1 to keep it the same. Because 1 mile = 5280 feet, we can say that
1 mile/5280 feet = 1 = 5280 feet/1 mile. Therefore, it would be safe to multiply
12 miles/1350 feet by 1 = 5280 feet/1 mile. Note that feet is on the bottom in the first fraction (12 miles/1350 feet) and on the top in the second (5280 feet/1 mile) so they will cancel out. Similarly, miles are on top in the first and bottom in the second. We then have
12 miles/1350 feet * 5280 feet/1 mile =63360/1350 ≈ 46.9
Answer:
yes
Step-by-step explanation:
according to cyclic quadrilateral properties the oppoaite angles are supplementry
Answer:the number of BlackBerry that Arlene had initially was 276
Step-by-step explanation:
Let x represent the number of BlackBerry that Arlene had initially.
She gave 216 to her teachers. This means that she is left with x - 216
Then she dropped 12. This means that she would be left with x - 216 - 12 = x - 228
Later, she ate 18. This means that she would be left with x - 228 - 18 = x - 246
Finally, she gave half of what she had to her friend. This means that the amount that she gave to her friend is (x - 246)/2 and the amount that she has left would be
(x - 246)/2
Now, she has 15. This means that
(x - 246)/2 = 15
x - 246 = 2 × 15 = 30
x = 30 + 246 = 276