9514 1404 393
Answer:
- SAS
- not
- SSS
- AAS
Step-by-step explanation:
Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...
SSS SAS AAS ASA (and HL for right triangles--not applicable here)
__
1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.
2. only one side and angle are marked. Insufficient information. Not congruent.
3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.
4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.
Answer: 0.058
Step-by-step explanation:
Number of quarters = 15
Number of dimes = 9
Number of nickels = 10
Number of pennies = 6
Total number of coins = 40
The probability of selecting a quarter first will be 15/40 = 3/8
Since it's not replaced, there'll be 39 coins left and the probability of choosing a penny is 6/39 = 2/13
Therefore, P(quarter, then penny) will be:
= 3/8 × 2/13
= 6/104
= 0.058
The mean of a set of numbers is the average of the set. To find the mean we must add all the numbers in the set together and divide the sum by how many numbers there are in the set.
95 + 78 + 84 + 86 + 89 + 64 = 496
499 / 6 = 82.67
The mean is 82.67.
The mode of a set of numbers is a number that shows up the most in the set. All the numbers in this set appear once, so, there is no mode.
The median of a set of numbers is the number that is in the very middle of the set. Since the middle has two numbers in it we will find the mean of the two of them.
84 + 86 = 170
170 / 2 = 85
85 is median.
To find the range we need to subtract the smallest number by the largest number.
95 - 64 = 31
31 is the range.
I hope this helps. :)
Answer:
Step-by-step explanation:
Perimeter of square park = 2000 m
4*side = 2000
side = 2000 ÷ 4
side = 500 m
Area of square park = side * side
= 500 * 500
= 250000 m²
I would like for you to be a bit more specific in your question, but, generally, congruent figures have both angles and sides measurements equal to each other. This means that they have to be of the same shape too. So if you know that one side of a figure is 5 units, for example, then the same side of another congruent figure is also going to be 5 units.
