•Please help, multiple choice•
1 answer:
Answer: The answers are in the photo.
Step-by-step explanation:
To solve 11, we need to mark the triangle. Since we know that LMN is an isosceles triangle, we can use the iso. triangle theo. proof to mark some angles and sides.The iso. triangle theo. is that an isosceles triangle's opposite base angles are congruent, and the sides opposite of the bases angles are congruent to each other (meaning 2 sides are congruent and 2 angles are congruent.) Since T is the midpoint of LN, LT and TN are congruent. Triangles LMT and LNT also share a same side we can also mark.
To solve number 12, you can use CPCTC- congruent parts of congruent triangles are congruent. Anything in LMT and LNT are congruent to each other, making angles 1 and 2 congruent.
To solve number 13, you just need to place and plug. We know the right base vertice has a y of 0 because it is sitting on the x-axis. Because this triangle is isosceles, we can use the value of the top vertices x, multiply it by 2, which gets 2a as the x of the right base vertice. In the end, it's coordinates are (2a,0).
I apologize if this explanation is sloppy.
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Answer:
The inequality that represents the age of the group, "x", is:
Step-by-step explanation:
To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:
While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:
In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have: