Answer:
The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Let
x ------> the length of the remaining side
Applying the triangle inequality theorem
1) x+x > 30
2x > 30
x > 15 in
The perimeter is equal to
P=30+2x
<em>Verify each case</em>
1) For P=41.0 in
substitute in the formula of perimeter and solve for x
41.0=30+2x
2x=41.0-30
x=5.5 in
Is not a solution because the value of x must be greater than 15 inches
2) For P=51.2 in
substitute in the formula of perimeter and solve for x
51.2=30+2x
2x=51.2-30
x=10.6 in
Is not a solution because the value of x must be greater than 15 inches
3) For P=72.4 in
substitute in the formula of perimeter and solve for x
72.4=30+2x
2x=72.4-30
x=21.2 in
Could be a solution because the value of x is greater than 15 inches
4) For P=81.2 in
substitute in the formula of perimeter and solve for x
81.2=30+2x
2x=81.2-30
x=25.6 in
Could be a solution because the value of x is greater than 15 inches
therefore
The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in
Okay, this is how you deal with them.
Answer: Lower left corner 
We have 29 people who chose fishing out of 18+29 people who filled out the survey. We don't use 60 because not everyone filled out the survey, and we're only focusing on survey participants. The "times 100" at the end will move the decimal point 2 spots to the right, and convert it to percent form.
For example, if you had 2 people who liked fishing out of 8 total then 2/8 = 0.25 = 25% of the people like fishing.
Answer:




Step-by-step explanation:
Given:

bisects angle BAC

Triangle ABC is isosceles triangle, because
Angles adjacent to the base of isosceles triangle ABC are congruent.
Hence,

The sum of the measures of all interior angles is 180°, so,

Since
bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

The number of people being served went from 6 to 24, so the serving quadrupled.
So multiply 2.5 by 4 and you get 10 pounds of apples.