Question

PLEASE HELP!! Answer these questions! Pictures will be provided. I will mark brainliest if you are correct in all three questions!!


1. Identify the range of values for x.


2. Identify the range of values for y.


3. Identify the range of values for y.

Answer 1

Now,

>>> Length can't be negative.
>>> And greater the angle larger the opposite side length.

Using this both sentences, we will solve this question.

>>> 1 Number <<<

As 100° > 80°,
And both triangles have two sides of the same length.

So opposite side of greater angle must have larger side length.

Therefore,

x + 23 > 2x + 6
17 > x
x < 17

Also,

2x + 6 > 0
x > -3 (Because side length can't be negative.)

So,

-3 < x < 17
(D option)

>>> 2 Number <<<

As 105° > 60°,
And both triangles have two sides of the same length.

So opposite side of greater angle must have larger side length.

Therefore,

4y + 15 > 5y + 8
7 > y
y < 7

Also,

5y + 8 > 0
y > -1.6 (Because side length can't be negative.)

So,

-1.6 < x < 7
(C option)

>>> 3 number <<<

As 140° > 70°,
And both triangles have two sides of the same length.

So opposite side of greater angle must have larger side length.

Therefore,

2y + 3 > 5y - 12
15 > 3y
y < 5

Also,

5y - 12 > 0
y > 2.4 (Because side length can't be negative.)

So,

2.4 < x < 5
(A option)


Answer:

4th option
3rd option
1st option