Part (a):
The sum of the interior angles of a triangle is 180°.
The given measurements are:
20°, 60° and 100°
Sum of the given measurements = 20 + 60 + 100 = 180°
Therefore, these measurements can form a triangle

Part (b):
The sum of the interior angles of a triangle is 180°.
The given measurements are:
85° , 89° and 6°
Sum of given measurements = 85 + 89 + 6 = 180°
Therefore, these measurements can form a triangle

Hope this helps :)

8 0

3 years ago

A cone has a diameter of 3 inches. The cone holds 12 cubic inches of water.

dmitriy555 [2]

Answer:

The height of the cone is 5.09 inches

Step-by-step explanation:

Given:

The volume of the cone = 12 cubic inches

The diameter of the cone = 3 inches

To Find :

The height of the cone = ?

Solution:

We know that the volume of the cone is

Volume = $\pi r^2\frac{h}{3}$

where

r is the radius of the cone

h is the height of the cone

Now substituting the given values

$12 = \pi (1.5)^2 \frac{ h }{3}$

$\frac{12}{\pi 2.25} = \frac{h}{3}$

$h = \frac{12}{ 2.25 \pi} \times 3$

$h = \frac{ 12}{7.065} \times 3$

$h = 1.698 \times 3$

h = 5.09 inches

6 0

3 years ago

This is #16. Now #17 says “For question #16, find a value of x that makes lines u and v intersect.” Help me.

pashok25 [27]

When you solved for x in #16, you were looking for the value of x to see what x would make both angles congruent since they were alternate interior angles. The same solution x=8, is the solution to #17 when the two lines will intersect.
If you graph both lines they will intersect at x=8.

6 0

3 years ago