Please help! This is due in 20 minutes. Please help! I will mark you the brainiest!
2 answers:
Answer:
1. no triangle
2. unique triangle
3. unique triangle
4. unique triangle
5. no
Step-by-step explanation:
1.) if you add the smallest numbers, they are less than the biggest: , so these can't be measures of a triangle
2.) because the ASA rule (angle-side-angle)
3.) This is a right triangle. Also, you have a 60° angle and a 90° and a side, so a triangle is proven with the ASA rule
4.) because you are given three sides and the two smallest sides are greater than the longest.
5.) A unique triangles is formed if you know all three sides (SSS), two sides and the included angle (SAS), or two angles and the included side (ASA). We are given three degree measures. Although the measures do make a triangle, with only the measures of the angles, we can make many different triangles, all similar to each other.
(I really just put this here so you can give Laurenthetutor the Brainliest for being here)
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Answer:
a. 120
b. 6
c. 0.05
Step-by-step explanation:
a) The ways Eduardo, Sarah, Maria, Jim, and Tyrone can arrive to the party is
5! = 5×4×3×2×1 = 120
The logic behind it is
- 5 different people can arrive first, after that
- 4 different people can arrive second, when first and second arrived is known,
- 3 different people can arrive third, then
- 2 different people can arrive fourth
- only 1 person left to be fifth.
b) Using the same logic, when first and last arrived is known, there is
3!=3×2×1=6 ways they can arrive in this case.
c) The probability that Eduardo will arrive first and Tyrone last is
the division of the ways Eduardo arrive first and Tyrone last by the ways 5 people can arrive