Which of the following is not for a parallelogram

I have no idea how to do these geometry problems! if someone could explain to me how to do them that'd be awesome!

Murljashka [212]

"BISECT" an angle means split it into two equal angles.

In this diagram, you can see the long line GH, and they're telling us that GH "bisects" the big angle. That means that the angles on both sides of line GH are equal ... their measures are the same number of degrees.

Now, in the diagram, those angles on each side of GH are labeled. On one side, the angle is labeled 3x-3 and on the other side the angle is labeled 4x-14 . We don't know the measure of these angles because we don't know what ' x ' is. BUT ... we know that the two angles are EQUAL, because GH is a 'bisector'. Maybe we can use this clue to find ' x '.

We know their measures are equal, so we can write ...

3x - 3 = 4x - 14

Subtract 3x from each side: -3 = x - 14

Add 14 to each side: 11 = x

Look at that ! Is that cool or what ! ? ' x ' is 11 .

So the angle above GH is 3x-3 . . . that's 30°

and the angle below GH is 4x-14 . . . that's also 30° .

Yay ! They really ARE equal.

Now let's look back at the question:

a). 'x' is 11° . Angle FGH is the angle above GH, that's 30° .

b). Angle HGI is the angle below GH, that's also 30° .

c). Angle FGI is the whole big angle. That's 30° + 30° = 60° .

5 0

3 years ago

A) Find the value of N if, Kn has 105 edges.

blagie [28]

The number of edges can be calculated from the number of vertices.

There are 14 vertices for 105 edges
There are 200 vertices for 19900 edges

The variable N is used to always represent the number of vertices.

So, we represent the edges as:

$E \to Edges$

(a) The value of N for 105 edges

The relationship between N and E is:

$E = \frac{N \times (N - 1)}{2}$

Substitute 105 for E

$105 = \frac{N \times (N - 1)}{2}$

Multiply through by 2

$210 = N \times (N - 1)$

$210 = N^2 - N$

Rewrite as:

$N^2 - N - 210 = 0$

Expand

$N^2 +14N - 15N - 210 = 0$

Factorize

$N(N +14) - 15(N + 14) = 0$

Factor out N + 14

$(N - 15) (N + 14) = 0$

Solve for N

$N = 15$ or $N = -14$

The number of vertices (N) cannot be negative. So:

$N = 15$

(b) The value of N for 19900 edges

We have:

$E = \frac{N \times (N - 1)}{2}$

Substitute 19900 for E

$19900 = \frac{N \times (N - 1)}{2}$

Multiply through by 2

$39800 = N \times (N - 1)$

$39800= N^2 - N$

Rewrite as:

$N^2 - N - 39800= 0$

Expand

$N^2 +199N - 200N - 39800= 0$

Factorize

$N(N +199) - 200(N + 199) = 0$

Factor out N + 199

$(N + 199) (N - 200) = 0$

Solve for N

$N = 200$ or $N = -199$

The number of vertices (N) cannot be negative. So:

$N = 200$

Hence, there are 200 vertices for 19900 edges

Read more about vertices and edges at:

brainly.com/question/22118318

7 0

3 years ago

20. A linear function is shown.

horsena [70]

Answer:

g(x) = (1/2)x + 3

f(x) = g(x) at (-1/2 , 13/4)

Step-by-step explanation:

g(x) and f(x) will have exactly one solution when they are not parallel (same slope) and when they are not equivalent functions (like doubling or halving all terms).

f(x) = (-5/2)x - 3

g(x) = (1/2)x + 3 <= choose an easy equation.

To find the solution, equate the two functions:

f(x) = g(x)

(-5/2)x - 3 = (1/2)x + 3

(-5/2)x - (1/2)x = 3 + 3 <= move variables to one side, constants to other

(-6/2)x = 6 <= simplify

x = 6 / (-6/2) <=isolate x

x = -6/12

x = -1/2

Substitute x = -1/2 into any equation to find y

g(x) = (1/2)x + 3

g(1/2) = (1/2)(1/2) + 3

g(1/2) = (1/4) + 3

g(1/2) = (1/4) + (12/4) <= find common denominator to add

y = (13/4) <= the function symbol can be replaced by y

The coordinates are (-1/2 , 13/4).

5 0

3 years ago

AWARDING THE MOST POINTS FOR BEST ANSWER! HELP ME ANSWER THIS FAST!!!!!!!!!!!!

shutvik [7]

Answer:

40 months:) hope that helps

7 0

4 years ago

A polyhedron has 25 faces and 36 edges. how many vertices does it have

S_A_V [24]

I am pretty sure that the correct answer would be 13

4 0

3 years ago

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