All categories

3 years ago

Describe all situation where verticals angles are also supplementary?

Mathematics

2 answers:

Helen [10]3 years ago

6 0

See my previous answer to this same question. the vertical angles have to be right angles

puteri [66]3 years ago

4 0

To solve this, we need to know what vertical angles and what supplementary angles are. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. And, by the Vertical Angles Theorem, we know that they have the same measure. Now onto supplementary angles. Supplementary angles are angles that add up to 180 degrees.

Let's say that one of the vertical angles is equal to x. That means that the other one is also equal to x, and their sum is 2x. Since we are trying to find out a situation where vertical angles are supplementary, or equal to 180 degrees, that means that 2x is equal to 180 degrees. This is satisfied only when x = 90 degrees, meaning that vertical angles are supplementary when they are right angles.

You might be interested in

HELP. Type the correct exponet 1/10,00= 10(?)

Svetllana [295]

Answer:

100

Step-by-step explanation:

5 0

3 years ago

Which expression does the number line represent?

seropon [69]

Answer:

I think the answer is 3÷3/4

Step-by-step explanation:

im not sure, when i worked it out in my head that's the answer that made the most sense

5 0

2 years ago

three cones have a volume of 192π cm³.Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm. fin

andrew11 [14]

9514 1404 393

Answer:

A: 144 cm

B: 64 cm

C: 36 cm

Step-by-step explanation:

The volume of a cone is given by ...

V = (1/3)πr²h

Solving for h, we get ...

3V/(πr²) = h

Filling in the given values, we get ...

3(192π)/(πr²) = h

576/r² = h

Then the heights of the different cones are ...

A: r = 2, h = 576/4 = 144 . . . cm

B: r = 3, h = 576/9 = 64 . . . cm

C: r = 4, h = 576/16 = 36 . . . cm

8 0

3 years ago

Can you work out G and H for me please. preferably telling me how you did it aswell

Veronika [31]

Abd is a right angled triangle so by pythagoras we know
${g}^{2} = {11}^{2} + {13}^{2} \\ {g}^{2} = 290 \\ g = \sqrt{290} \: or \: g = 17.03cm$
and to calculate h we need to use the sine rule
$\frac{h}{ \sin(22) } = \frac{g}{ \sin(32) } \\ \frac{h}{ \sin(22) } = \frac{17.03}{ \sin(32) } \\ h = \frac{17.03}{ \sin(32) } \times \sin(22) \\ h = 12.04cm$
i hope this helps

8 0

3 years ago

The following two triangles are similar. Find x.

Kruka [31]

Answer and Step-by-step explanation:

Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.

So, We would divide 45 by 9 to find the scale factor.

45 divided by 9 is 5.

Now, we divide 25 by this to find x.

25 divided by 5 is 5.

x is equal to 5.

#teamtrees #PAW (Plant And Water)

4 0

3 years ago