Answer:
Infinitely many triangles.
Step-by-step explanation:
Given the lengths of two sides are 8 inches and 10 inches.
Let's assume third side = x inches.
Using the Triangle Inequalities given as follows:-
1. a+b > c,
2. b+c > a,
3. c+a > b.
Using the lengths given in the problem, we can write:-
1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.
2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.
3. 8+10 > x ⇔ x < 18.
So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).
Hence, there are infinitely many triangles.
Answer:
Step-by-step explanation:
line graph- the decrease of attendance
bar graph-the number of students who participate in different sports
line plot-the list of heights of a group of 80 adults
steam and leaf plot- the number of dogs for students
Hey there!
You would be able to rent the limo for 4 hours plus the booking fee.
75 x 4 = 300
300 + 50 = 350
350 = 350
Hope this helps you! :)
Hugs!
- Nicole
Answer:
I’m pretty sure it’s B)- Z
Step-by-step explanation:
18. The correct table must display the following information.
38% prefer turkey with mayonnaise 20% prefer turkey with mustard 24% prefer ham with mayonnaise 18% prefer ham with mustard
In tables Z and W, each table totals 50 people.
To find the relative frequencies of the data in these tables, divide each number in the table by 50.
In tables X and Y, each table totals 100 people.
To find the relative frequencies of the data in these tables, divide each number in the table by 100.
The only table which is a possible representation of the data collected is table Z.
Likes Baseball
Does Not Like Baseball
Total
Likes Football Does Not Total Like Football
0.50 0.64 0.54
0.50 0.36 0.46 1.00 1.00 1.00
Mayonnaise Mustard
Total
Turkey
19 ÷ 50 = 0.38
10 ÷ 50 = 0.20
29 ÷ 50 = 0.58
Ham
12 ÷ 50 = 0.24
9 ÷ 50 = 0.18
21 ÷ 50 = 0.42
Total
31 ÷ 50 = 0.62
19 ÷ 50 = 0.38
50 ÷ 50 =1.00
Step-by-step explanation:
The interior angle of a polygon is given by
The exterior angle of a polygon is given by
where n is the number of sides of the polygon
The statement
The interior of a regular polygon is 5 times the exterior angle is written as
Solve the equation
That's
Since the denominators are the same we can equate the numerators
That's
180n - 360 = 1800
180n = 1800 + 360
180n = 2160
Divide both sides by 180
<h3>n = 12</h3>
<h2>I).</h2>
The interior angle of the polygon is
The answer is
<h2>150°</h2>
<h2>II.</h2>
Interior angle + exterior angle = 180
From the question
Interior angle = 150°
So the exterior angle is
Exterior angle = 180 - 150
We have the answer as
<h2>30°</h2>
<h2>III.</h2>
The polygon has 12 sides
<h2>IV.</h2>
The name of the polygon is
<h2>Dodecagon</h2>
Hope this helps you.
