Answer: 1 4/60
Step-by-step explanation
64 is greater then 60 . 60 = 1 hour so 64 minutes = 1 whole 4 over 60
An easy way to solve this is to convert 1/8 into a percentage then see from that point.
To turn 1/8 into a percentage, you must first get the decimal form of the fraction. In this case, 1/8 as a decimal is 0.125.
Now that we have the decimal form, we can divide the decimal over 100 (common numerical number to use when dividing) to get the percentage, which should be 12.5%.
Now, our new question is 'what's bigger, 80% or 12.5%?'
The answer is 80%, since it is larger than 12.5%.
Answer: There are 4 people who only go to the game on Saturday.
Step-by-step explanation:
Let the number of people go on Saturday be n(A).
Let the number of people go on Sunday be n(B).
Since we have given that
n(A) = 8
n(B) = 12
n(A∪B) = 16
According to rules, we get that
So, n(only go on Saturday) = n(only A) = n(A) - n(A∩B) = 8-4 = 4
Hence, there are 4 people who only go to the game on Saturday.
Answer:
22.5 kilometers
Step-by-step explanation:
we know that
The scale drawing is
That means
1 unit on a map represent 250,000 units in the actual
or
1 cm on a map represent 250,000 cm in the actual
or
1 cm on a map represent 2,500 m in the actual
or
1 cm on a map represent 2,5 km in the actual
therefore
using proportion
Find out how much represent 9 cm apart on the map
Answer:
1. Opposite
2. angle-side-angle criterion
Step-by-step explanation:
Since ABCD is a parallelogram, the two pairs of <u>(opposite)</u> sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since ∠9 and ∠11 are vertical angles, it can be concluded that ∠9≅∠11. Since ABCD is a parallelogram, AB¯∥CD¯. Since ∠2 and ∠5 are alternate interior angles along these parallel lines, the Alternate Interior Angles Theorem allows that ∠2≅∠5. Since two angles of △AEB are congruent to two angles of △CED, the Third Angles Theorem supports that ∠8≅∠3. Therefore, using the <u>(angle-side-angle criterion)</u>, it can be stated that △AEB≅△CED. Then, applying the definition of congruent triangles, it can be stated that AE¯≅CE¯, which makes E the midpoint of AC¯. Use a similar argument to prove that △AED≅△CEB; then it can be concluded that E is also the midpoint of BD¯. Since the midpoint of both line segments is the same point, the segments bisect each other by definition. Match each number (1 and 2) with the word or phrase that correctly fills in the corresponding blank in the proof.
A parallelogram posses the following features:
1. The opposite sides are parallel.
2. The opposite sides are congruent.
3. It has supplementary consecutive angles.
4. The diagonals bisect each other.
