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AnnyKZ [126]
3 years ago
9

Would you say that pythagoras’ theorem holds true for hexagons as well? why or why not

Mathematics
1 answer:
kifflom [539]3 years ago
7 0
No, the Pythgorean Theorem only applies to right triangles. To get two right triangles, you divide a rectangle diagonally. Dividing a hexagon into two pieces produces trapezoids or pentagons depending where it is divided. 
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Help please. (Simple question)
vladimir1956 [14]
Both missing angles are 45°
3 0
3 years ago
SOMEONE HELP PLEASE! ASAP!
Luba_88 [7]
When two lines intersect, the angles across from the intersection (the "X") are congruent (equal), and referred to as "vertical angles."
So by the rule of vertical angles are congruent, we can set them equal:
{x}^{2}  - 6x = 1\div2 \: x + 42 \\  {x}^{2}  - 6x - 1 \div 2 \: x = 42 \\  {x}^{2}  - 6.5x = 42
{x}^{2}  - 6.5x - 42 = 0 \\ multiply \: both\: sides \: by \: 2 \: to \: get \\ rid \: of \: the \: decimal \\ 2({x}^{2}  - 6.5x - 42) = 2(0)
2 {x}^{2}  - 13x - 84 = 0
to factor we need the factors of 84:
1×84, 2×42, 3×28, 4×21, 6×14
Now we need one of those factors ×2 ( from the x^2 term) minus the other factor to equal 13 (the middle term)
it turns out that if we use 4×21: 4×2 = 8
and 21-8 = 13. Woohoo! we got it
So now we have:
2 {x}^{2}  - 13x - 84 = 0 \\ (2x - 21)(x + 4) = 0
Now set each factor = 0
1) 2x - 21 = 0 and 2) x + 4 = 0
1) 2x - 21 = 0, 2x = 21, x = 21/2 = 10.5
2) x + 4 = 0, x = -4

Now we plug in each answer to check:
1) x = 10.5
{x}^{2}  - 6x =  {(10.5)}^{2}  - 6(10.5) \\  = 110.25 - 63 = 47.25
1/2x + 42 = 1/2(10.5) + 42 = 5.25 + 42 = 47.25
47.25 = 47.25
BAM SO IT LOOKS LIKE THAT'S IT!!
But let's check 2) first:
2) x = -4
{( - 4)}^{2}  - 6( - 4) = 16 + 24 = 40
1/2x + 42 = 1/2(-4) + 42 = -2 + 42 = 40
40 = 40, so both work!!
But it asks for m<1, and <1 is supplementary because it lies on same line, meaning the sum of both = 189
Therefore m<1 = 180 - 47.25 = 132.75°
OR m<1 = 180 - 40 = 140°


6 0
3 years ago
Can someone please explain how they got this answer because the entire lesson they haven’t shown me how to graph these
I am Lyosha [343]

Answer:

Please check explanations

Step-by-step explanation:

Here, we have three types of equations and three plotted graphs

we have a quadratic equation

an exponential equation

and a linear equation

For a quadratic equation, we usually have a parabola

The first equation is quadratic and as such the first graph that is parabolic belongs to it

For an exponential equation, we usually have a graph that rises or falls before becoming flattened

The second equation represents an exponential equation so the second graph is for it

Lastly, we have a linear equation

A linear equation usually has a straight line graph

Thus, as we can see, the third graph represents the linear equation

5 0
3 years ago
angle d is a vertical angle to angle f. The measure of angle d is 53 degrees. What is the measure of angle f?
Marizza181 [45]

Answer:

53 degrees

Step-by-step explanation:

3 0
3 years ago
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If you borrow $225 for eight years at an interest rate of 6% how much interest will you pay ?
weeeeeb [17]

Answer:$58.55

Step-by-step explanation:


4 0
3 years ago
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