Under which angle conditions could a triangle exist? Check all that apply.

3 acute angles

2 acute angles, 1 right angle

2 acute angles, 1 obtuse angle

Step-by-step explanation:

The sum of the three angles in a triangle is always equal to .

Also we have:

- An acute angle is an angle measuring less that 90 degrees

- A right angle is an angle measuring exactly 90 degrees

- An obtuse angle is an angle measuring more than 90 degrees

Let's now analyze the different statements:

- 3 acute angles  --> this is possible, since all the three angles measure less than 90 degrees, their sum can still be 180.

- 2 acute angles, 1 right angle  --> also possible: one angle measures 90 degrees, while the other two together have a sum of 90, so they should be both acute

- 1 acute angle, 1 right angle, 1 obtuse angle --> not possible: the right angle is 90 degrees, the obtuse angle is more than 90 degrees, so their sum is already larger than 180

- 1 acute angle, 2 obtuse angles  --> not possible: the sum of 2 obtuse angles is more than 180 degrees

- 2 acute angles, 1 obtuse angle --> possible: the obtuse angle is more than 90 degrees, while the two acute angles are less than 90, so they can add together to form 180 degrees

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

i hope this is what you were looking for.

see attached graph