Answer:
2
Step-by-step explanation:
(-7)^2 - 4*3 *(-2) = 49 + 24 >0
discriminant is positive so 2 real roots
<span>If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle.
Remember that you create a contrapositive by inverting and swapping both terms. So if you have
if A then B
the contrapositive would be
if not-B then not-A
Since you've been given
"If a triangle is an obtuse triangle, then it has one angle with measure greater than 90°"
the contrapositive would be something like
"If a triangle has no angles with a measure greater than 90°, then it is not an obtuse triangle."
So, now look at the available choices and see what matches in intent even if it's not phrased exactly the same.
The option
"If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle."
matches the intent of the contrapositive that we constructed independently and is the correct answer.</span>
Answer:
slope: -3/-4
Step-by-step explanation:
theres the answer
Answer:
34 degrees; 56 degrees
The measures of each of the acute angles are 56 degrees and 34 degrees.
Step-by-step explanation:
The measures of a triangle add up to 180 degrees.
One angle has the measure of 90 degrees since it is marked as a right angle.
Using this info we can create an equation to solve for x.
(19x-1)+(13x-5)+90=180
Now solve for x.
32x-6+90=180
32x=96
x=3
Now to find the measure of each angle subsitute the value of x.
(19x-1)=19*3-1=56 degrees
(13x-5)=13*3-5=34 degrees
The measures of each of the acute angles are 56 degrees and 34 degrees.
